Answers
Answer:
Option A is the correct answer
Step-by-step explanation:
Line is passing through the points (2, 0) and (0, - 3)
Gradient of line = (-3-0)/(0 - 2) = - 3/-2 = 3/2
Answer:
3/2
Step-by-step explanation:
3/2 is the gradient of the line
Related Questions
A bag has 25 beads in it.the probability of picking a white bead is 3/5.how many white beads are in the bag
Answers
Select the two values of x that are roots of this equation.
x^2 +1 = 5x
Answers
Answer:
options C and D is the answer
anybody know the answer ? Please help :(
Answers
Answer:
A. y= -2x+6
Step-by-step explanation:
The intercept is at 6, to make the line, you go down 2, over 1.
// have a great day //
. You deposit $200 each month into an account earning 3% interest compounded monthly for 30 years. How much total interest will you earn in 30 years?
Answers
The total interest you will earn in 30 years is approximately $241.61.
To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066
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read the picture plsssssssssss
Answers
2. 2x - 5(3x^2)
3. 8x + 2x/3 +6
4. x + 3 - y - 6
awesome math people plz help!!!
plz answer the following
I will give brainlest!!!!!!!!
Answers
Answer:
1. (2,5)
Step-by-step explanation:
x=2
y=3×2-1=5
i hope this is the right answer
What is the value of 1/6 * x ^ 2 + 15, when; x = 12 ?
Answers
1/6*12^2+15=39
Please mark brainlist
-1 2/3 -5 1/2 multiply
help please
Answers
Answer:
-9.16666666667
Step-by-step explanation:
there
Answer:-9.16666666667
Step-by-step explanation:
Some please help, statistics class
Answers
The value of the probability P(z < -2.6) is 0.0046612
How to evaluate the probabilityFrom the question, we have the following parameters that can be used in our computation:
Distribution = Standard distributionP(z < -2.6)To calculate the probability P(z < -2.6), we make use of a graphing calculator
Using the above as a guide, we have the following:
P(z < -2.6) = 0.0046612
Hence, the value is 0.0046612
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Multiply. What is the product?
[−2 3/11⋅(−4)]⋅(1 13/20)⋅(−10)
Answers
Answer:
- 5198/11
Step-by-step explanation:
Hi i’m confused on this question can someone pls help me answer it
Answers
Answer:
x=−0.0151745 i think and make sure that you put it on negative
Step-by-step explanation:
HELP I NEED HELP ASAP
Answers
Help me!!!!!!!!!!!!!!!
Answers
Answer:
A. 2.72
Step-by-step explanation:
helpppppp meeeee.plssssss
Answers
Answer:
Step-by-step explanation:
Alright, so first we need to have a common denominator on both fractions. 6 and 4 both go into 12 so we will use that. 6 goes into 12 two times, so multiply 5 by 2 to get 10/12. 4 goes into 12 three times, so multiply 1 by 3 to get 3/12. Now that we have a common denominator, subtract 3/12 from 10/12. You should get 7/12. We can't reduce that, so the final answer is 7/12! Good luck with the rest of your work!
What is the value of the expression below when x
10 and y = 9?
9x + 9y
Answers
Answer:
171
Step-by-step explanation:
9x + 9y
9(10) + 9(9)
90 + 81
171
Best of Luck!
x = 10
y = 9
Given Equation:9x + 9y
Solution:by putting the values , we get
9(10) + 9(9) = 90 + 81 = 171
Answer:171
prove that x = 0 is the only solution to ax = 0 if and only if the rank of the p ×q matrix a equals q, the number of unknowns.
Answers
The statement that x = 0 is the only solution to ax = 0 if and only if the rank of the p × q matrix a equals q, the number of unknowns, can be proven as follows:
First, assume that x = 0 is the only solution to ax = 0. This means that there are no nonzero solutions to the equation, implying that the null space of the matrix a is trivial (only containing the zero vector). By the rank-nullity theorem, the nullity of a matrix is equal to the dimension of its null space. Since the null space of a is trivial, its nullity is zero.
Next, consider the rank of the matrix a. By the rank-nullity theorem, the rank of a plus its nullity is equal to the number of columns in a, which is q. Therefore, if the nullity is zero, the rank of a must be equal to q.
Conversely, if the rank of the matrix a equals q, it implies that the nullity of a is zero. This means that the only solution to the equation ax = 0 is the zero vector, x = 0.
x = 0 is the only solution to ax = 0 if and only if the rank of the matrix a equals q, the number of unknowns. This result highlights the relationship between the null space and the rank of a matrix, providing insights into the solutions of linear equations and the properties of the matrix.
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Given the general form of the circle 3x^2 − 24x + 3y^2 + 36y = −141
a.) Write the equation of the circle in standard (center-radius) form (x−h)^2+(y−k)^2=r^2
=
b.) The center of the circle is at the point ( , )
Answers
a) The standard form of the given circle is (x − 4)² + (y + 6)²/9 = 0
b) the center of the circle is at (h, k) = (4, -6).
The given equation of the circle is: 3x² − 24x + 3y² + 36y = −141
a.) Write the equation of circle in standard (center-radius) form (x−h)² + (y−k)² = r²
General equation of a circle is given as:x² + y² + 2gx + 2fy + c = 0
Comparing the above equation with the given circle equation, we have:
3x² − 24x + 3y² + 36y = −1413x² − 24x + 36y + 3y² = −141
Rearranging the above equation, we get:
3x² − 24x + 36y + 3y² + 141
= 03(x² − 8x + 16) + 3(y² + 12y + 36)
= 03(x − 4)² + 3(y + 6)² = 0
Comparing the above equation with (x−h)² + (y−k)² = r²,
we get:(x − 4)² + (y + 6)²/3² = 0
Hence, the standard form of the given circle is (x − 4)² + (y + 6)²/9 = 0
b.) The center of the circle is at the point (4, −6).
Hence, the center of the circle is at (h, k) = (4, -6).
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What is the area of triangle abc if a = 12, b = 17, and C = 100°?
Answers
Area = (1/2) * base * height
where the base and height of the triangle can be any two sides of the triangle, as long as they form a right angle.
In this case, we are given the lengths of sides a and b, but we do not have the height of the triangle. However, we can use the law of sines to find the height:
sin(C) / c = sin(A) / a
sin(100°) / c = sin(A) / 12
Solving for sin(A), we get:
sin(A) = (12 * sin(100°)) / c
sin(A) = (12 * sin(100°)) / 17 (since c = b = 17)
sin(A) ≈ 0.7049
Now, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
where base = a = 12 and height = b * sin(A) = 17 * sin(A):
Area = (1/2) * 12 * 17 * sin(A)
Area ≈ 103.5
Therefore, the area of triangle ABC is approximately 103.5 square units.
Which of the following quadrilaterals have diagnals that are always perpendicular to each other
Answers
Answer:
QuadrilateralsA Bthese quadrilaterals always have perpendicular diagonals rhombus, squareif you divide a square into four right triangles by drawing its two diagonals, the measure of each of the angles in the triangles that is not a right angle is... and please follow me..Answer:
A rhombus is a parallelogram whose diagonals are perpendicular to each other.
what is the variance of the number of heads that come up when a fair coin is flipped 13 times? (enter the final answer in decimal format and round to one decimal place.)
Answers
The variance of the number of heads that come up when a fair coin is flipped 13 times is 3.25
What is probability ?Mathematical representations of the likelihood of an event occurring or of a statement being true are dealt with in the area of probability. An outcome's probability is a number between 0 and 1, where 1 denotes certainty and 0 denotes the event's impossibility.
CalculationHere, flipping a coin is a Bernoulli trial, with n =13, with success as getting a head with probability p = 1/2.
We have to find the variance of the number of success in n Bernoulli trials. The variance of the number of successes in n Bernoulli trials is np(1-p).
the variance np \((1-p)=13\cdot (1/2)\cdot (1-1/2)=13\cdot (1/2)\cdot (1/2)= 3.25\)
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please help 15 points easy HHHEELLPP
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in+the+united+states,+nearly+all+18-+to+29-years+olds+(89%)+agreed+with+the+statement+__________.
Answers
find the lateral area and surface area of a triangular prism with a height of 6 inches and a right triangular base with legs of 9 inches and 12 inches. round to the nearest tenth, if necessary.
Answers
Answer:
Lateral surface area is 216 in²Total surface area is 324 in²----------------------
Find the hypotenuse c of the base using Pythagorean theorem:
\(c=\sqrt{a^2+b^2}\)\(c=\sqrt{9^2+12^2} =\sqrt{81+144}=\sqrt{225} =15\)Lateral surface area, three rectangular faces, is:
LSA = Ph = (9 + 12 + 15)*6 = 36*6 = 216Find base area, the area of two right triangles:
A = 2*(1/2)(9)(12) = 108Find total surface area:
TSA = LSA + Base areasTSA = 216 + 108TSA = 324Simplify the expressions using the distributive property.8(7x + 3)5(5y - 2)
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Simplify the expressions by using the distributive property.
\(\begin{gathered} 8(7x+3)=8\cdot7x+3\cdot8 \\ =56x+24 \end{gathered}\)For second expression,
\(\begin{gathered} 5(5y-2)=5\cdot5y+5\cdot(-2) \\ =25y-10 \end{gathered}\)5 km to m convert the following
Answers
Answer:
5 km = 5000 m
Hope this helps : )
Please help me with this.
Answers
Answer:
15.6 inches
Step-by-step explanation:
Here we want to find the length of the missing side
Mathematically, we can use Pythagoras’ theorem
The theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Let the missing side be x
18 is the side that faces right angle and this is the hypotenuse
Thus, we have ;
x^2 + 9^2 = 18^2
x^2 = 324 - 81
x^2 = 243
x = √(243)
x = 15.6 in
A wallet contains 23 bills. All the bills are 1 dollar bills and 5 dollar bills. There are 7 more 1 dollar bills than 5 dollars bills. How much money does the wallet contain
Answers
Answer: 55
Step-by-step explanation: 13 -7 = 16. 16/2 = 8. 8 + 7 = 15. 8 X 5 = 40
Find the value of x so that the function has the given value.
j(x)=−4/5x+7; j(x)=−5
x=
Answers
Answer:
x = 3
Step-by-step explanation:
j(x) = 4/5(-5) + 7
= -4 + 7
= 3
Answer:
15
Step-by-step explanation: -4/5 x has to be -12 because -12+7 equals 5. Since we want to figure out x, we have to flip -4/5 x to 4/5x which would change the -12 to 12. What is a fourth of 12? It is three. 12+3 equals 15. This is the first right answer on all of the internet for this question!
An electronics retailer sells a washing machine at cost price (how much the retailer paid for it) of $400 with a profit of 20%. What price does the customer pay?
Answers
Answer:
$480
Step-by-step explanation:
400 × .20 = 80
the retailer got an extra 20% or $80 for the machine.
$400 + $80 = $480
The customer paid $480 for the washing machine.
find the distance between the skew lines with parametric equations x = 1 t, y = 3 6t, z = 2t, and x = 1 2s, y = 4 14s, z = -3 5s. ____________
Answers
The shortest distance between the skew lines with parametric equations is |−74s/17 + 23/17|.
To find the distance between the skew lines, we need to find the shortest distance between any two points on the two lines. Let P be a point on the first line with coordinates (1t, 36t, 2t) and let Q be a point on the second line with coordinates (12s, 414s, −35s).
Let's call the vector connecting these two points as v:
v = PQ = <1−2s, 3−10s, 2+5s>
Now we need to find a vector that is orthogonal (perpendicular) to both lines. To do this, we can take the cross product of the direction vectors of the two lines.
The direction vector of the first line is <1, 6, 0> and the direction vector of the second line is <2, 14, −5>. So,
d = <1, 6, 0> × <2, 14, −5>
d = <−84, 5, 14>
We can normalize d to get a unit vector in the direction of d:
u = d / ||d|| = <−84/85, 5/85, 14/85>
Finally, we can find the distance between the two lines by projecting v onto u:
distance = |v · u| = |(1−2s)(−84/85) + (3−10s)(5/85) + (2+5s)(14/85)|
Simplifying this expression yields:
distance = |−74s/17 + 23/17|
Therefore, the distance between the two skew lines is |−74s/17 + 23/17|. Note that the distance is not constant and depends on the parameter s.
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