Answer:
B) 4
Step-by-step explanation:
Use the slope formula:
slope \(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Let:
\((x_1 , y_1) = (1 , -2)\\(x_2 , y_2) = (2 , 2)\\\)
Plug in the corresponding numbers to the corresponding variables:
slope:
\(m = \frac{2 - (-2)}{2 - 1} \\m = \frac{2 + 2}{2 - 1}\\m = \frac{4}{1} = 4\)
B) 4 is your answer.
~
HELPPPPP!!!!!!!!!!!!!!!!!!!!!1
Two similar triangles are shown below:
Two triangles are shown. The sides of the triangle on the left are marked 4, 5, 6. The sides of the triangle on the right are marked as 3, 2, and 2.5. For the triangle on the left, the angle between sides marked 6 and 5 is labeled as a, marked by a double arc, and the angle between the sides marked 6 and 4 is labeled as b, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 2 and 3 is labeled as c and the angle between the sides marked 2.5 and 3 is labeled as d, marked by a double arc. The angle between the sides 2 and 2.5 is labeled as e, marked by a triple arc, and it is also the angle on the top vertex of this triangle.
Which two sets of angles are corresponding angles? (4 points)
Group of answer choices
∠a and ∠e; ∠b and ∠c
∠a and ∠c; ∠b and ∠d
∠a and ∠e; ∠b and ∠d
∠a and ∠d; ∠b and ∠c
Step-by-step explanation:
the 2 triangles are similar.
that means their corresponding angles are equal, and their side lengths (and heights and so on) have all the same constant scaling factor.
so, we see that the side with the length 6 must corresponds to the side with the length 3 (factor 1/2).
as then the side with the length 5 corresponds to the side with the length 2.5, and the side with the length 4 corresponds to the side with the length 2 (all have the same factor 1/2).
a is the angle between 6 and 5 (the 2 longest sides).
the angle between the 2 longest sides in the smaller triangle (3 and 2.5) is d.
so, a and d correspond.
b is the angle between 6 and 4 (the longest and the shortest side).
the angle between the corresponding sides 3 and 2 is c.
so, b and c correspond.
therefore, the 4th and last answer choice is correct.
Multiply.
-7.8
-56
-1
56
5
please help
\(-7.8\left(-56\right)=436.8\)
\(-7.8\left(-1\right)=7.8\)
\(-7.8\cdot \:56=-436.8\)
\(-7.8\cdot \:5=-39\)
Write the appropriate term in each box to create an expression
equivalent to 7x + 2x + 6y
3x(2y+3y)
= 3x × (2y+3y)
= 3x × 5y
= 15xy
So your answer is:-
3x × (2y+3y)
may this helps you
bye
Will it matter if I don’t get accelerated pre algebra in 7th grade and get into normal pre algebra? Will it make me less likely to get into top colleges?
Answer:
Maybe, there is a chance, but I don't know for sure.
It might matter, but I wouldn't worry or stress about it too much.
My only advice to you is do not procrastinate and if you need help don't be afraid to ask.
Answer:
It matters but not like you think.
GPA, extracurricular activities, and SAT/ACT are the biggies. Truthfully it won't change a thing if you took accelerated pre-algebra versus normal. In fact, spoiler alert, the SAT/ACT (I'm assuming your american) will matter more than your courses ever did. I took two years of college physics in highschool and i made more off my SAT. Not only that, but an A in an easy class looks better than a C in a hard one on transcripts.
My advise is slow down, relax, and learn it well. Better to learn the concept fully in normal so that you can apply it, than half learn it in advance and struggle in future applications. After all, math ALWAYS builds. Take it slow, take it easy.
I would recommend talking to a school guidance counselor about your academic stress. Im sure their professional insight will help put you at ease. It may also help to get you going in the right direction so that you achieve your goals.
Good luck. Enjoy life
violent storms generally form along ...warm fronts1 coldfronts2 occluded fronts3 stationary fronts4
A weather front is a transition zone between two different air masses at the Earth's surface. Each air mass has unique temperature and humidity characteristics.
Mr. gracia is at Dunkin' Donuts .he has $17.50 in his pocket ,and he buys a sandwich for $2.50 and 5 coffees using cash . Write an inequality to determine the possible cost of each coffee
Answer:
The coffee is $3 or less
Step-by-step explanation:
Set up an inequality where c is the cost of one coffee:
17.50 \(\geq\) 5c + 2.50
Solve for c:
17.50 \(\geq\) 5c + 2.50
15 \(\geq\) 5c
3 \(\geq\) c
So, the coffee is $3 or less
What are the solution(s) of x if 3x^2 + 13x + 14 = 0?
The equation 3x^2 + 13x + 14 = 0 can be solved by using the Quadratic Formula. The two solutions of x are x = -2 and x = 7.
The equation 3x^2 + 13x + 14 = 0 can be solved by using the Quadratic Formula.
Start by rearranging the equation to the form ax^2 + bx + c = 0
3x^2 + 13x + 14 = 0
a = 3, b = 13, c = 14
Substitute the values in the Quadratic Formula:
x = [-b ± √(b^2 - 4ac)] / 2a
x = [-13 ± √(13^2 - 4*3*14)] / 2*3
x = [-13 ± √(169 - 84)] / 6
x = [-13 ± √(85)] / 6
x = [-13 ± 9.22] / 6
x = (-2, 7)
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What is 15/20 simplest form
Answer:
the simplest form of 15/20 is 3/4
In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three polls. Alex pulls with force
F
A
of magnitude 215 N, and Charles pulls with force
F
C
of magnitude 183 N. Note that the direction of
F
C
is not given. What is the magnitude of Betty's force
F
N
if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?
The resultant force must be equal and opposite to Betty's force for equilibrium. Hence, FN = - (FA + FC)
(a) If Charles pulls in the direction indicated in the picture, we can use vector addition to find the resultant force. By adding Alex's and Charles' forces as vectors, the resultant force must be equal and opposite to Betty's force for equilibrium. Hence, FN = - (FA + FC).
(b) If Charles pulls in the other possible direction for equilibrium, we again use vector addition. In this case, the resultant force must be equal and opposite to the vector sum of Alex's and Charles' forces. Therefore, FN = - (FA - FC).
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What is the y-intercept of 2x y =- 3?
The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).
What is the y-intercept of the given equation?The slope-intercept formula is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
Given the equation in the question
2x - y = -3
First, we solve form for y and reorder in slope intercept form.
2x - y = -3
Subtract 2x from both sides
2x - 2x- y = -3 - 2x
- y = -3 - 2x
Divide each term by -1
y = 3 + 2x
Reorder in slope intercept form
y = 2x + 3
To find the y-intercept, replace x with zero and solve for y
y = 2(0) + 3
y = 3
Therefore, the y-intercept is 3.
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you roll a fair six-sided die with the hopes of rolling a 5 or a 6. these two events are because they have no sample points in common. a. complements b. mutually exclusive events c. posterior events d. independent events
you roll a fair six-sided die with the hopes of rolling a 5 or a 6. these two events are because they have no sample points in common mutually exclusive events
Hence, option (b) is the correct choice.
Two occurrences are mutually exclusive or disjoint in logic and probability theory if they cannot occur at the same time. The set of outcomes of a single coin toss, which can result in either heads or tails but not both, is a good example.
Events that are mutually exclusive do not occur at the same time. For example, when a coin is tossed, the outcome will be either head or tail, but we cannot obtain both. Such occurrences are also known as disjunct events since they do not occur at the same time.
Events that are mutually incompatible cannot occur at the same moment. Right and left hand turns, even and odd numbers on a dice, winning and losing a game, or running and walking are all examples.
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Tina wrote the equations 3 x minus y = 9 and 4 x + y = 5. What can Tina conclude about the solution to this system of equations?
Answer:
(2, –3) is a solution to the system of linear equations.
Step-by-step explanation:
Given: Equations:
3x - y = 9 --------(1),
4x + y = 5 --------(2),
Add Equation (1) + Equation (2),
3x + 4x = 9 + 5
7x = 14 ( Combine like terms )
x = 2 ( Divide both sides by 7 ),
From equation 1:
3(2) - y = 9
6 - y = 9
-y = 9 - 6 ( Subtraction 6 on both sides )
-y = 3
y = - 3 ( Multiplying -1 on both sides )
Please help me solve this question asap I have a test 12 hours from now!!!! I need solution with steps and how you solved it.
The missing number from the diagram is 26. Option D
How to determine the valueFirst, we need to know that square of a number is the number times itself
From the diagram shown, we have that;
a. 2² = 4
4² = 16
Add the values
4 + 16 = 20
Also, we have that;
3² = 9
9² = 81
Add the values
= 81 + 9 = 90
Then,
1² = 1
5² =25
Add the values
25 + 1 = 26
Thus, to determine the value, we need to find the square of the other two and add them.
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EMERGENCY! Please give me the correct answer!
Answer:
12
Step-by-step explanation:
2²+2³means 2×2+2×2×2=4+8=12
John and his brother, Ricky, decide to combine their money to purchase a television and video game
console that cost $825 for their bedroom.
Answer:
Well, Each of them will have raise $275
Step-by-step explanation:
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
The statement about probability that is true is option The probability of landing on orange is equal to the probability of landing on yellow.
What is the probability?From the question, the spinner has:
8 sections, with:
1 orange section2 purple sections2 yellow sections3 blue sections.So probability of one getting on any section is = 1/8, or 0.125.
Therefore, the probability of getting on orange will still be the same as the probability of landing on yellow and as such option C is correct.
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is the point ( 12, -33 ) a solution to the equation
If (12, -33) is solution of Equation then LHS= RHS.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
We have the points (12, -33).
As, we know that the points are said to be the solution of equation if the LHS part of Equation becomes equal to RHS part of Equation.
For instance we have Equation x+ 2y= 3.
Then we have solution of the Equation then by solving x+2 y we get the value 3.
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Solve for x: 2(5x + 9) = 78
\(\boxed{\large{\bold{\blue{ANSWER~:) }}}}\)
2(5x+9)=7810x+18=7810x=78-1810x=60\(\sf{ x=\dfrac{60}{10} }\) x=6Pleaseeeeeeee help me 7th grade math
Answer: -34
Step-by-step explanation:
first step: subtract 22 from both sides
+n=-12-22
n=-34
Answer:
-34
Step-by-step explanation:
Thats the correct answer . Im rlly good im Math :) I hope you get a good grade.
Question 1.) find Hcf and Lcm of 426 and 576
Questions 2.)prove that
\(3 + 2 \sqrt{5} \)
is irrational number.
❌dont dare to spam ❌
Answer:
1.
426=2*3*71
576=2*2*2*2*2*2*3*3
Now
L.C.F= 2×3×71*2*2*2*2*2*3=40896
H.C.F=2*3=6.
2.
we have.3+2√5
An irrational number is a number that cannot be expressed as a fraction for any integers.
over here √5 is not expressed as a fraction
So3+2√5 is not rational number.
12 1/2 - (-4 1/2) = ?
Answer:
17
Step-by-step explanation:
12 1/2-(-4 1/2)
12 1/2+ 4 1/2
17
Samantha and mia each left julia’s house at the same time. mia walked north at 7 kilometers per hour. samantha ran west at 11 kilometers per hour. how far apart were they after one hour? round the answer to the nearest tenth. a right triangle. a point at the angle with measure 90 degrees is labeled julia's house. a line drawn north is labeled 7 kilometers and a line drawn west is labeled 11 kilometers.
Samantha and Mia are 13 km apart from each other.
What is Pythagorean ?A right triangle's squared sides add up to the hypotenuse's squared length, according to the Pythagorean Theorem.
Mia is 7 kilometers north of Julia's home as she walked at a speed of 7 kilometers per hour.
Samantha walked at an average speed of 11 km/h, and she is now 11 kilometers west of Julia's home.
A right-angled triangle is formed by Julia's house, Mia and Samantha's locations after one hour, and the figure's points.
Hypotenuse of the triangle, which measures distance between the females
the Pythagorean theorem,
H² = P² + B²
H² = 7² + 11²
H² = 49 + 121
H = √170
H = 13.038
H = 13km
Between them, there is a 13 kilometer distance.
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A bag of 12 oranges weighs 4 1/2 pounds, if the oranges are about the same size, how many pounds does each orange weigh
25 POINTS
0.385
Take the weight of the bag and divide it by the number of oranges in the bag (12) which is:
4.5 / 12 = 0.385
Each orange weighs 0.385 pounds.
Tell whether the angles are adjacent or vertical. Then find the value o
75°
(4x-25)°
The angles are
vertical
z=
The given angles are vertical and have a measure of 75°. The value of the angle (4x-25)° is also 75°, and the value of x is 25.
The given angles are vertical angles, which means they are opposite angles formed by the intersection of two lines.
Vertical angles are always congruent, which means they have the same measure. Hence, we can set the two given angles equal to each other and solve for the value of x. 75° = (4x-25)°
Adding 25 to both sides, we get: 100° = 4x
Dividing both sides by 4, we get: x = 25 Hence, The value of the angle (4x-25)° is: (4x-25)° =
\((4 \times 25-25)°\)
= 75°
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Find f(x) + g(x)
f(x) = 5-7X/X^2-3x-10
g(x) = 8x-3/X^2-3x-10
Answer:
\(\frac{1}{x-5}\)
Step-by-step explanation:
Let me know if anything is unclear!
Question
AC←→ is tangent to the circle with center at B. The measure of ∠ACB is 27°.
What is the measure of ∠ABC?
Enter your answer in the box.
m∠ABC =
The measure of the angle ABC from the given triangle is 63 degree.
Given that, AC is tangent to the circle with center at B. The measure of ∠ACB is 27°.
We know that, the angle formed between the radius and tangent is 90°.
By using angle sum property of triangle in ΔABC, we get
∠ACB+∠BAC+∠ABC=180°
27°+90°+∠ABC=180°
117°+∠ABC=180°
∠ABC=63°
Therefore, the measure of the angle ABC from the given triangle is 63 degree.
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Yoko earns 47 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells. Let A be the amount (in dollars) that Yoko earns in a week if she sells B books. Write an equation relating A to B. Then use this equation to find the amount of money Yoko earns if she sells 32 books.
equation:
amount of money Yoko earns if she sells 32 books:
Step-by-step explanation:
Equation:
A = 47 + B
Amount of money Yoko earns if she sells 32 books
A = 47 + 32
A = 79
Yoko earns $79
teacher: how can we change the base of a logarithm? student:
We can change the base formula by:
logₐ b = logₓ a /logₓ b
OR
logₓ a, logₓ b = logₓ a
The change of base formula is used to change the base of a logarithm. We know that "log" stands for a logarithm of base 10 and "ln" stands for a logarithm of base e. But there is no option to calculate the logarithm of a number with any other bases other than 10 and e.
The change of base formula solves this issue of changing base from e to 10, and from base 10 to e. Also, it is used in solving several logarithms problems.
Base Formula: -
The change of base formula is used to write a logarithm of a number with a given base as the ratio of two logarithms each with the same base that is different from the base of the original logarithm. This is a property of logarithms. You can see the change of base formula here.
Change of base formula
logₐ b = logₓ a /logₓ b
OR
logₓ a, logₓ b = logₓ a
Change of Base Formula
Change of base formula can be represented as follows. Here the base of the given logarithm is also changed to a logarithm with a new base. The basic logarithm with a base is transformed to two logarithms with a new and same base. The change of base formula is:
logₐ b = [logₐ x] / [logₐ y]
In this formula,
The argument of the logarithm in the numerator is the same as the argument of the original logarithm.The argument of the logarithm in the denominator is the same as the base of the original logarithm.The bases of both logarithms of numerator and denominator should be the same and this base can be any positive number other than 1.Change of Base Formula Derivation
Change of base formula derivation can be understood from the following steps. Let us assume that
log ₐ b = p, logₙ a = q, and logₙ b = r.
By converting each of these into exponential form, we get,
a = \(b^{p}\), a = \(x^{q}\), and b = \(n^{r}\)
From the first two equations,
\(x^{q}\) = \(n^{r}\)
Substituting b = \(n^{r}\) (which is from third equation) here,
(\(n^{r}\))\(^{p}\) = \(x^{q}\)
\(n^{r}\))\(^{p}\) = \(x^{q}\)(Using a property of exponents)
p r = q
p = q / r
Substituting the values, we get,
logₐ b = [logₐ x] / [logₐ y]
For Example:
Evaluate the value of log₆₄ 8 using the change of base formula.
Solution:
We will apply the change of base formula (by changing the base to 10). Note that log₁₀ is same as log.
log₆₄ 8 = [log 8] / [log 64]
= [log 8] / [log 82]
= [log 8] / [2 log 8] [∵ log am = m log a]
= 1 / 2
Answer: log₆₄ 8 = 1 / 2
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I need help
Solving this problem
The required value of x is 22 degrees for the given figure.
Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.
As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:
According to the given figure, it can be written as follows:
2x + 24 + 6x - 20 = 180
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Therefore, the required value of x is 22 degrees for the given figure.
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The complete question is as follows:
Find the value of x for the below figure.
Consider a continuous variable x that has a normal distribution with mean p/ = 71 and standard deviation 0 = 5
1. The 29th percentile (Pa) of the distribution is
2. The values of x that bound the middle 19% of the distribution are
- bottom border is
upper border is
3. The standard value z of x = 75 is
4. The standard error (o.) of the distribution of sample means of samples of size 107 is
5. If a sample of size 122 is randomly selected from the population, the probability that this sample has a
average less than 69 is
The 29th percentile (Pa) of the distribution is approximately 68.7.
The values of x that bound the middle 19% of the distribution are approximately 67.9 (bottom border) and 74.1 (upper border).
The standard value z of x = 75 is approximately 0.8.
The standard error (σ) of the distribution of sample means of samples of size 107 is approximately 0.48.
If a sample of size 122 is randomly selected from the population, the probability that this sample has an average less than 69 is approximately 0.003.
A short question about the main answer, rephrased: "What are the percentiles, standard values, and probabilities related to a normal distribution with mean 71 and standard deviation 5?"In statistics, the 29th percentile (Pa) represents the value below which 29% of the data falls. For a normal distribution with a mean of 71 and a standard deviation of 5, the 29th percentile is approximately 68.7. This means that 29% of the data will be less than or equal to 68.7.
To find the values of x that bound the middle 19% of the distribution, we need to determine the cutoff points. The lower cutoff point, or bottom border, is the value below which 9.5% of the data falls, and the upper cutoff point is the value below which 90.5% of the data falls. For this distribution, the bottom border is approximately 67.9, and the upper border is approximately 74.1.
The standard value z measures the number of standard deviations a given value is from the mean. To calculate the standard value, we subtract the mean from the value of interest and divide by the standard deviation. For x = 75, the standard value z is approximately 0.8, indicating that the value is 0.8 standard deviations above the mean.
The standard error (σ) of the distribution of sample means is a measure of how much sample means vary from the population mean. For samples of size 107, the standard error is approximately 0.48.
Lastly, if a sample of size 122 is randomly selected from the population, the probability that this sample has an average less than 69 can be calculated. In this case, the probability is approximately 0.003, which indicates that it is very unlikely to obtain a sample with such a low average from the given population.
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