Use slope formula, m= y2, - y1 over X2-X1 to find the slope of a line that passes through the points (-3, 8) and (4.-6).
m=
use the slope-intercept form, y=mx+b to find the y-intercept (b) of the line
b=
what is the new equation written in slope-intercept form y=mx+b
Answers
Answer:
m= -2
b= 2
y= -2x + 2
Step-by-step explanation:
Just did it
The slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Given that the line that passes through the points (-3, 8) and (4.-6).
Let
x₁ = -3, y₁ = 8
x₂ = 4, y₂ = -6
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in the formula
m = (-6 - 8)/(4 -(-3))
m = (-14)/7
m = -2
y - 8 = m(x - (-3))
y - 8 = -2(x + 3)
y = -2x -6 + 8
y = -2x + 2
Since the slope-intercept form, y = mx+b
So the y-intercept (b) of the line,
b = 2
Thus, the slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.
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Related Questions
complete the partial two-way frequency table below that shows the extracurricular activities of high school students. Based on the data in the table, how many students do not play an instrument
Answers
According to the information, the missing number from the box is number 40.
How to find the missing number in the box?To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.
According to the above we can infer that the missing number is 40.
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entrique uses a gift card to buy coffee at a coffee shop. The initial value of the guft cord is $20. The function n=20-2.75c represents the amount of money still left on the guft card n after c cups of coffee are bought. Find the zero of this function. Describe what this means in context.
Answers
Answer:
7 cups of coffee
Step-by-step explanation:
Given
\(n = 20 - 2.75c\)
Required
Find and describe the zero of the function
To do this, we simply equate n to 0
i.e.
\(n = 0\)
Substitute 0 for n in \(n = 20 - 2.75c\)
\(0 = 20 - 2.75c\)
Add 2.75c to both sides
\(0 + 2.75c = 20 - 2.75c + 2.75c\)
\(0 + 2.75c = 20\)
\(2.75c = 20\)
Divide both sides by 2.75
\(\frac{2.75c}{2.75} = \frac{20}{2.75}\)
\(c = \frac{20}{2.75}\)
\(c = 7.273\)
\(c = 7\) --- Approximated
This implies that the maximum cups of coffees that can be bought is 7
Isabella needs to earn at least $300 a week during her summer break to pay for college. She works two jobs, one at a office
that pays $8 an hour and the other tutoring for $16 per hour.
Let x be the number of hours she works at the office and let y be the number of hours she works tutoring. Write an
inequality that models this situation.
Answers
Answer: 8x+16y _> 300
Step-by-step explanation:
A model maker wants to make a model of a ship. He will use a scale of 1:50. The ship was 100ft long. 1 foot=0.3m
Answers
you are a girl or boy. #/
I need this question to be solved please
Answers
Using the graphical method for limits, it is found that:
\(\lim_{x \rightarrow 3} f(x) = 1\)
What is a limit?A limit is given by the value of function f(x) as x tends to a value. In a graph, the lateral limits have to be equal, that is:\(\lim_{x \rightarrow a} f(x) = \lim_{x \rightarrow a^+} f(x) = \lim_{x \rightarrow a^-} f(x)\)
In this problem, the definition as x goes to 3 is the same, hence:
\(\lim_{x \rightarrow 3} f(x) = \lim_{x \rightarrow 3^+} f(x) = \lim_{x \rightarrow 3^-} f(x) = 1\)
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A recipe asks for 6 1/4 cups of flour. How many cups are needed to make 1/2 of a recipe? express the awnser in simplest form. enter the awnser in the box! Pls awnser right away
Answers
Answer: 3 1/8
Step-by-step explanation:
6 1/4 x 1/2
When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive
by combining partial samples of different blood specimens. If samples from four people are combined and the
mixture tests negative, we know that all four individual samples are negative. Find the probability of a
positive result for four samples combined into one mixture, assuming the probability of an individual blood
sample testing positive for the virus is 0.09
Answers
Answer:
0.246
Step-by-step explanation:
p(virus) = 0.09
= 1-p(none test positive)
=1-(1-0.09)^3
=1-0.91^3
=0.246
Question is on the picture
Answers
By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.
What is equation?In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion \("2x + 3 = 9"\) states that the word \("2x + 3"\) Corresponds to the number "9".
The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.
For example, in the equations \("x2 + 2x - 3 = 0\) ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.
Abby, according to the picture, spent:
She spends 25% of her time in school.
She spends 40% of her time at work and 15% of her time on other hobbies.
Therefore, Furthermore, she spends \(20\) of her time napping.
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6w+8+4w-3=_w
What’s the awsner
Answers
Answer:
5= -2w i think
Step-by-step explanation:
6w+8+4w-3 = w
8-3= -6w - 4w
5 = -2w
1. A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing values. square meters of ceiling number of tiles 1 1 10 100 a
Answers
Given:
Consider the below table attached with this question.
Every square meter of ceiling requires 10.75 tiles.
To find:
The missing values in the table.
Solution:
We have,
1 square meter of ceiling = 10.75 tiles. ...(i)
Therefore, the number of tiles corresponding to 1 square meter of ceiling is 10.75.
Multiply both sides by 10.
10×1 square meter of ceiling = 10×10.75 tiles.
10 square meter of ceiling = 107.5 tiles.
Therefore, the number of tiles corresponding to 10 square meter of ceiling is 107.5.
Divide both sides by 10.75 in (i).
\(\dfrac{1}{10.75}\) square meter of ceiling = 1 tile.
Multiply both sides by 100.
\(\dfrac{100}{10.75}\) square meter of ceiling = 100 tiles.
On approximating the value, we get
9.3 square meter of ceiling = 100 tiles.
Therefore, the square meters of ceiling corresponding to 100 tiles is about 9.3.
Multiply both sides by a in (i).
a×1 square meter of ceiling = a×10.75 tiles.
a square meter of ceiling = 10.75a tiles.
Therefore, the number of tiles corresponding to a square meter of ceiling is 10.75a.
The missing values in the table have been calculated and they are underlined below;
1) 1 m² = 10.75 tiles
2) 10 m² = 107.5 tiles
3) 9.3 m² of tiles = 100 tiles
4) a m² = 10.5a tiles
The table is missing and so i have attached it.
From the question, we are told that each square meter of ceiling requires 10.75 tiles. Thus on the first row;
1 m² = 10.75 tiles
The second row of the table shows 10 m² of tiles.
Thus, by proportion, 10 m² of tiles will require; 10 × 10.75 tiles = 107.5 tiles
The third row shows us 100 tiles required.
Since 10.75 tiles is for 1 m² , then by proportion, we can find the square meters of tiling of 100 tiles. Thus;
100 tiles will use; 100 × 1/10.75 = 9.3 m² of tiles
The fourth row shows us square meter of tiles to be a.
Thus by proportion, number of tiles required for this square meter of tile is;
a × 10.75/1 = 10.75a tiles
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pls help worth b and c “find the slope of each line”
Answers
A triangle PQR is formed by the vertices, P (-3, 3), Q (2,4), and R (3, -1). identify the type of triangle PQR and select all the correct statements
Answers
The triangle ABC is an isosceles right triangle because PQ = QR = √26 and PR = QR√2 = PQ√2
How to determine the type of the triangle with the given vertices?From the question, we have the following parameters that can be used in our computation:
P (-3, 3), Q (2,4), and R (3, -1)
As a general rule, we have
An isosceles triangle is any triangle that has two of its sides to be equalAn equilateral triangle is any triangle that has all of its sides to be equalA scalene triangle is any triangle that none of its sides to be equalSo, we start by calculating the lengths of the sides using the distance equation represented as follows
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Substitute the known values in the above equation, so, we have the following representation
PQ = √[(-3 - 2)² + (3 - 4)²]
PQ = √26
PR = √[(-3 - 3)² + (3 + 1)²]
PR = √52
QR = √[(2 - 3)² + (4 + 1)²]
QR = √26
Because PQ = QR = √26, then the triangle is an isosceles triangle
Also, because PR = QR√2 = PQ√2, the triangle is a right triangle
This means that an isosceles right triangle
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calculate the mean deviation of the following numbers 8,5,7,10,3,4,31,12.
Answers
Answer:
5.75.
Step-by-step explanation:
The mean = (8+5+7+10+3+4+31+12)/ 8
= 80/8
= 10.
Now we calculate the difference of each value from the mean We take the absolute ( positive) differences
10 - 8 = 2
10 - 5 = 5
10 - 7 = 3
10 - 10 = 0
10-3 = 7
10 = 4 = 6
10 - 31 = 21
10 - 12 = 2
Sum of the differences = 46
and the mean deviation is 46/8 = 5.75.
6 8/25% as a decimal
Answers
0.0632
Explanation:\(\begin{gathered} \text{Given:} \\ 6\text{ }\frac{8}{25}\text{ \%} \end{gathered}\)To convert to decimal, we will first convert the mixed fraction into improper fraction:
\(\begin{gathered} 6\frac{8}{25}\text{ = }\frac{\text{(6}\times25)+8\text{ }}{25}\text{= }\frac{\text{158}}{25} \\ \\ 6\frac{8}{25}\text{ \% = }\frac{\text{158}}{25}\text{ \%} \end{gathered}\)\(\begin{gathered} we\text{ will divide by 100 to remove the percentage:} \\ \frac{158}{25}\text{ \% = }\frac{158}{25}\times\frac{1}{100}\text{ = }\frac{158}{2500} \\ \\ in\text{ decimal, }\frac{158}{2500}\text{ = 0.0632} \end{gathered}\)If the vertices of a parallelogram PQRS taken in order are P(3,4), Q(-2,3) and R(-3,-2),then the coordinates of its fourth vertex S are?
Answers
The coordinates of the fourth vertex of the parallelogram S are (2, -1)
In a parallelogram, opposite sides are parallel and equal in length, so the vector that represents one side can be added to one vertex to find the next vertex.
Given vertices P and Q, the vector PQ can be represented as (Q - P) = (-2 - 3, 3 - 4) = (-5, -1).
So, to find the fourth vertex S, we can add the vector PQ to vertex R:
S = R + PQ = (-3, -2) - (-5, -1) = (2, -1)
Therefore, the coordinates of vertex S are (2, -1).
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pic attached will give brainliest
Answers
Answer:
3 over 2
Step-by-step explanation:
select 2 points on the line and see how far apart they are
#1 (7.6)
ABXC is a right triangle where mzXBC-90°, mzCXB-60°, and XB-5. Determine the length
of each side. Leave your answer as an exact answer.
1. Draw the triangle and label the given parts
2. Identify side types:
30-60-90 has hypotenuse, short, long
45-45-90 has hypotenuse, leg, leg
3. Write the formulas for the special right triangle. Plug in your values and solve.
To enter a square root answer, type the number outside and the number inside using the two
boxes provided. For example, 7√2 would look like 7
Length
Side
CB (long)
XB (hypotenuse)
Answers
The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective
What is a triangle?A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees
From the triangle, Using the trigonometric ratio of sine
Sin C = opposite/Hypothenuse
Sin30 = 5/H
Making h the subject of the relation we have
h= 5/sin30
h=5/0.5
Therefore the value of h=10 units
To find the third side use Pythagoras theorem
10² = 5²+p²
100-25 = p²
75 = p²
Taking the square of both sides
p=√75
p=8.7 units
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Find the radius of a circle that has an area of 121 pi f2
Answers
Answer: r=11
Step-by-step explanation:
A=πr^2
A=121π
121π=πr^2
r^2=121
r=11
the three data sets show the number of text messages sent by jada, and diego, and lin over 6 days. one of the data sets has a mean of 4, one has a mean of 5, and one has a mean of 6.
1. which data set has which mean? what does this tell you about the text messages sent by the three students?
2. which data set has the greatest variabillity? Explain
Answers
1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.
2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
Question 1.
In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;
Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6
Mean number of text for Jada = 30/6
Mean number of text for Jada = 5.
Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6
Mean number of text for Diego = 36/6
Mean number of text for Diego = 6.
Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6
Mean number of text for Lin = 24/6
Mean number of text for Lin = 4.
Question 2.
In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;
Standard deviation = √(1/n × ∑(xi - u₁)²)
Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]
Standard deviation for Jada = √(6/6) = 1
Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]
Standard deviation for Diego = √(14/6) = 1.53
Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]
Standard deviation for Lin = √(76/6) = 3.6
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
given a pair of similar triangles find the missing length x and the missing angles a,b,c
Answers
Angles of similar triangles are always congruent a: 63, b: 88, c: 29 and x = 53.75
Find the missing length?Based on the information available, there are numerous equations for calculating the area of a triangle. As indicated in the calculator above, please use the Triangle formula for additional information and equations for calculating the area of a triangle as well as determining the sides of a triangle using whatever information is available.
find the ratio between the two triangles:
40 on the left corresponds to 50 on the right = 40/50 = 43/x
to find x:
40x = 43 × 50
40x = 215
x = 215/40
x = 53.75
"angles of similar triangles are always congruent."
a: 63
b: 88
c: 29
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Full question:
Given a pair of similar triangles, find the missing length x and the missing angles A, B, and C.
Evaluate the expression.
| 31 | + | –5 |
Answers
Answer:
36
Step-by-step explanation:
The answer is the absolute value of 31 + (-5)
So it is 36
In the diagram below, AD EB, m/ABD = 115° and m/D = 27°.
Find m < ABE
Answers
The value of angle ABE is 52°
What are interior angle of a triangle ?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.
The interior angles of a triangle are the inside angles formed where two sides of the triangle meet.
The sum of interior angle in a triangle is 180°
Angle EBD = 180-(90+27)
= 180-117
= 63°
angle ABE + EBD = ABD
ABE = ABD - EBD
ABE = 115-63
= 52°
Therefore the value of angle ABE is 52°
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My dance lesson starts at 11:40 am. It always 1 your and 10 minutes what time does it end?
Answers
Answer:
Step-by-step explanation:
This may be wrong but hear me out, 40+10 is 50 and 11+1 is 12, so 12:50?
Which pairs of triangles appear to be congruent? Check all that apply.
1
2
3
A. Triangles 2 and 3
B. Triangles 2 and 4
C. Triangles 3 and 4
I D. Triangles 1 and 2
I E. Triangles 1 and 4
F. Triangles 1 and 3
Answers
Answer:
Answer is B, D & E
Step-by-step explanation:
Select B, D & E
Answer:
E. Triangles 1 and 4
Step-by-step explanation:
Triangles are congruent when they have exactly the same three sides and exactly the same three angles
By inspection, we can see that triangle 3 is different from the others as it has a right angle symbol, so we can discard this one.
On measuring the side lengths of triangles 1, 2 and 4, we can determine that triangles 1 and 4 have exactly the same side lengths as each other, yet triangle 2 is different. Therefore, we can discard triangle 2.
Therefore, as triangles 1 and 4 have exactly the same three sides and exactly the same three angles they are congruent.
You have 2 jars of marbles. The first jar contains a blue marble, a yellow marble, and a purple marble. The second jar contains a green marble, a blue marble, and a pink marble. Write out the sets that represent all the colors of the marbles.
Answers
The set containing all the colors of the marbles is given as follows:
{blue, yellow, purple, green, pink}.
What is the set of elements?A set of elements is composed by elements that respect a given characteristic, or are present in an experiment.
In this problem, we need to find the colors present in each marble, which are given as follows:
First jar: Blue marble, yellow marble and purple marble.Second jar: Green marble, blue marble and pink marble.Then we have to list all these colors in a set, which are opened and closed by the brackets {}.
The color blue appears in both sets, however, it will appear only once in the set of the colors, as the elements are not repeated.
Thus, the set containing all the colors of the marbles is given by the set presented as follows:
{blue, yellow, purple, green, pink}.
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Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answers
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
rogress bar may be uneven because questions can be worth more or less (including zero) depending on your
Which of the following equations has the solution x = all real numbers?
O. 5(3x) + 6x = 3x + 15 + 2x
5(3x).+ 7x = 3x + 15 - x
5(3x) + 7x = 3x + 10 - x
5(3x) + 7x = x + 15 - 3x
Answers
The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,
What is meant equation?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.
A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.
Here given equations,
5(3x) + 6x = 3x + 15 + 2x
15x + 6x = 3x + 15 + 2x
15 x + 6x - 3x -2x = 15
16 x = 15
x = 15/16
5(3x).+ 7x = 3x + 15 - x
15 x + 7x = 3x + 15 - x
15 x + 7x - 3x + x = 15
22x - 3x + x = 15
20 x = 15
x = 15/20
x = 3/4
5(3x) + 7x = 3x + 10 - x
15x + 7x - 3x + x = 10
20x = 10
x = 10/20
x = 1/2
5(3x) + 7x = x + 15 - 3x
15x +7x - x + 3x = 15
24x = 15
x = 15/24
x = 5/8
Therefore the equations that has the solution x = all real numbers are :
5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .
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The sum of three numbers is 107. the second number is 7 less than the first. The third number is 2 times the second. What are the numbers?
Answers
x = 32
First number is 32.
Second number is 25.
Third number is 50.
32 + 25 + 50 = 107
Math checks out
Which graph displays points that correspond to the x and y values in the table?
Answers
hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful
PLEASE HELP ME
Find the length of the third side. If necessary, round to the nearest tenth.
11 12
Answers
Answer: 16.3 units
Step-by-step explanation:
We will use the Pythagorean theorem to help us solve because this is a right-triangle. a and b are the legs, and c is the hypotenuse. In this case, c is our unknown value.
Given:
a² + b² = c²
Substitute:
11² + 12² = c²
Square:
121 + 144 = c²
Add:
265 = c²
Square root both sides of the equation and reflexive property:
c = \(\sqrt{265}\)
Square root:
c = 16.2788
Round to the nearest tenth:
c ≈ 16.3
Answer:
16.3
Step-by-step explanation:
Use the Pythagorean theorem: a²+b²=c²
Solve this formula for c (the hypotenuse)
\(c=\sqrt{a^{2}+b^{2} }\)
then plug in a and b
\(c=\sqrt{11^{2} + 12^{2} }\)
\(c=\sqrt{121+144}\)
\(c=\sqrt{265}\)
Rounded to the nearest 10th you get 16.3