Question 12 (Multiple Choice Worth 5 points)
(05.02 MC)
What is the slope-intercept form equation of the line that passes through (5, 7) and (8, 22)?
Oy= -5x + 18
Oy=5x - 18
Oy=-5x - 18
O y = 5x + 18

Answers

Answer 1

Answer:

y = 5x - 18

Step-by-step explanation:

Points:

Equation of the line:

y = ax + b

(5; 7) and (8; 22)

(5; 7)

7 = 5a + b

(8; 22)

22 = 8a + b

a and b are the same values:

{- 5a - b = - 7

{8a + b = 22

3a = 15

a = 5

5a + b = 7

5.5 + b = 7

25 + b = 7

b = 7 - 25

b = - 18

Equation:

y = 5x - 18

I Hope I've helped you.

Answer 2

Final answer:

The slope-intercept form equation of the line that passes through the points (5, 7) and (8, 22) is y = 5x + 18, found by first calculating the slope and then using the point-slope form to solve for y.

Explanation:

To find the slope-intercept form of the equation of the line that passes through the points (5, 7) and (8, 22), we first need to calculate the slope (m). The slope is given by the formula:

m = (y2 - y1) / (x2 - x1)

Using our points, this becomes:

m = (22 - 7) / (8 - 5) = 15 / 3 = 5

Now, we use one point and the slope in the point-slope form of the equation, y - y1 = m(x - x1), which becomes:

y - 7 = 5(x - 5) => y - 7 = 5x - 25

Solving for y to get the slope-intercept form, y = mx + b:

y = 5x + (25 - 7) = 5x + 18

So, the correct slope-intercept form equation of the line is y = 5x + 18.


Related Questions

Write an expression with at least 6 terms
that is equal to 7x + y - 4.

Answers

Answer:

3x+4x+y-2+1+2

Step-by-step explanation:

just break up each number into smaller parts make sure you have a variable on each part if the whole nnumber has a variable!

Final answer:

The expression 3x + 4x + y/2 + y/2 - 2 - 2 has six terms and is equal to the original expression 7x + y - 4.

Explanation:

The original expression given in the question is 7x + y - 4. The task is to write an expression with at least 6 terms that is still equal to this original expression. We can do this by breaking down some of the terms in the original expression. Like this: 3x + 4x + y/2 + y/2 - 2 - 2. Here, the term 7x is broken down into 3x and 4x. The term y is broken down into y/2 and y/2. And the term -4 is broken down into -2 and -2. Even though we now have six terms instead of three, the expression still equals to the original expression 7x + y - 4.

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The formula for the area of a triangle is
A
=
b
h
2
. Express
b
in terms of
A
and
h
.


b
=
2
A
h

b
=
h
2
A

b
=
A
h
2

b
=
A
2
h

Answers

Final answer:

To express b in terms of A and h, we use the formula for the area of a triangle. By rearranging the equation, we find that b = (2A)/h.

Explanation:

To express b in terms of A and h in the formula for the area of a triangle, A = (bh)/2, we can rearrange the equation. First, multiply both sides of the equation by 2 to eliminate the fraction:

2A = bh

Next, divide both sides of the equation by h to isolate b:

b = (2A)/h

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How many types of joints are there in the human body?
А. 4
В. 2
с. 12
D. 6

Answers

Answer: It mainly three

Step-by-step explanation:

Which of the following inequalities matches the graph?

Answers

Answer:

x>-7

Step-by-step explanation:

The answer to this question is 7

Simplify 2x + 8y + 3x + y

Answers

Answer:

[tex] = > 2x + 8y + 3x + y \\ \\ = > 5x + 9y[/tex]

Answer:

5x + 9y

Step-by-step explanation:

Combine like terms (terms with the same variables as well as the same amount of variables).

2x + 3x + 8y + y = (2x + 3x) +(8y + y)

Combine:

2x + 3x = 5x

8y + y = 9y

5x + 9y is your answer.

~

This is timed pleaseeeeee hurry!!!!!! see picture

Answers

I think it’s c I’m not quite sure try Desmos for graphing calculator
im pretty sure the answer is c.

The graph of r = -3 + 5 cos theta is symmetric about the

Answers

Answer:

I graphed the equation on the graph below.

Step-by-step explanation:

If this answer is correct, please make me Brainliest!

Answer:

B

Step-by-step explanation:

x-axis only

f(x) = 7 -
What is the inverse

Answers

Answer:

Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x+7 f - 1 ( x ) = x + 7 is the inverse of f(x)=x−7 f ( x ) = x - 7

Step-by-step explanation:

the inverse would be f(x) = x-7

What are the ratios for sin A and cos A? The diagram is not drawn to scale.

Answers

Answer:

0.952380952

Step-by-step explanation:

bc sin is ac/cb so thats what i think

A sorority has 33 members, 23 of whom are full members and 10 are pledges. Two persons are selected at random from the membership list of the sorority. Find the requested probabilities. (Enter the probabilities as fractions.) (a) The first person selected is a pledge. (b) The first person selected is not a pledge. (c) The second person selected is a pledge if the first person selected was also a pledge. (d) The second person selected was a full member if the first person selected was a pledge. (e) The second person selected is a pledge if the first person selected was a full member. (f) The second person selected is a full member if the first person selected was also a full member. (g) The second person selected was a pledge.

Answers

Final answer:

The probabilities for various selections of pledges and full members from a sorority are calculated based on the composition of the group and the number of members remaining after each selection.

Explanation:

When selecting two persons at random from a sorority with 33 members consisting of 23 full members and 10 pledges, the probabilities requested can be calculated as follows:

(a) The probability that the first person selected is a pledge is 10/33.(b) The probability that the first person selected is not a pledge is 23/33.(c) The probability that the second person selected is a pledge given that the first selected was also a pledge is 9/32 (since one pledge is already selected).(d) The probability that the second person selected is a full member given that the first person selected was a pledge is 23/32.(e) The probability that the second person selected is a pledge given that the first person selected was a full member is 10/32 or 5/16.(f) The probability that the second person selected is a full member given that the first person selected was also a full member is 22/32 or 11/16.(g) The probability that the second person selected is a pledge without any condition on the first selection needs additional information for a precise calculation.

You go to the snack bar to buy a bagel and a drink for lunch you choose from a plain bagel a blueberry bagel or a raisin bagel the choices for a drink include water or a sports drink how many different lunches could be made with these choices

Answers

Answer:

6

Step-by-step explanation:

So you're choosing a bagel and a drink.

There are three different types of bagels and two different types of drinks

You just simply multiply three by two, and that is the number of combinations :)

a number x, rounded to 1 decimal place is 3.7 .Write down the error interval for x

Answers

Answer:

b

Step-by-step explanation: i took the same test

Find the percent of each number
22% of 45
30% of 210
42% of 360
4.6% of 80
12% of 35
55% of 128

Answers

Answer:

1. 9.9

2. 63

3. 151.2

4. 3.68

5.4.2

6. 70.4

Step-by-step explanation:

22% of 45 is 9.9
30% of 210 is 63
42% of 360 is 151.2
4.6% of 80 is 3.68
12% of 35 is 4.2
55% of 128 is 70.4

Mr.Molier is figuring out the semester averages for his history students. He can figure the average for 20 students in a hour. How long does it take him to figure out for each student?

Answers

Answer:

3 minutes per student

Step-by-step explanation:

60/20=3

Answer:

3 minutes per student.

Step-by-step explanation:

To solve this, we can first convert hours to minutes:

1 hour--> 60 minutes.

Since the problem states he can figure the average for 20 students in 1 hour, all we need to do is simply:

60÷20= 3 minutes per student.

Find the GCF of 24m and 16mn.

Answers

Answer:

8

Step-by-step explanation:

1. You star by figuring out what are the factors 24.(1,2,3,4,6,8,12,24).

2. Then you find the factors of 16.(1,2,4,8,16)

3. Then you look at the numbers and figure out which on is the largest. Which is 8

BRAINLIEST BRAINLIEST!! Easy math ASAP

Answers

first answer is (-2,2) second answer is (4,2)

Answer:

1. (-2,2) 2.(4,2)

Step-by-step explanation: since number 1 isn’t negative and positive the x I see negative 2. For number 2 it is positive positive. So x is 4 And they y value is 2 hope this helps

What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tenth.

Answers

Answer:

2299 in^2

Step-by-step explanation:

The formula for the volume of a square pyramid of base A and height h is

V = (A)(h).

Here, the perimeter of the base is 44 inches, so that the length of one side must be (44 in) / 4, or 11 in.  The area of a square of side s is A = s^2, so we have:

Here, V = (11 in)^2 * (19 in) = 2299 in^2

A pool in the shape of a rectangular prism holds 672 cubic feet of water. The pool is 4 feet deep and 8 feet wide. What is the length of the pool in yards?

Answers

the correct answer is:

The length of the pool is 21 feet, which is equivalent to 7 yards when converted (21 feet ÷ 3).

To find the length of the pool in yards, we first need to find its dimensions in feet. We know the pool is shaped like a rectangular prism, so we have:

- Depth (D) = 4 feet

- Width (W) = 8 feet

To find the length (L), we can use the formula for the volume of a rectangular prism:

[tex]\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} \][/tex]

Given that the volume of the pool is 672 cubic feet, we can plug in the known values:

[tex]\[ 672 = L \times 8 \times 4 \][/tex]

Solving for L:

[tex]\[ L = \frac{672}{8 \times 4} \]\[ L = \frac{672}{32} \]\[ L = 21 \][/tex]

So, the length of the pool is 21 feet.

Now, to convert this to yards, we know that 1 yard is equal to 3 feet. Therefore:

[tex]\[ \text{Length in yards} = \frac{21}{3} = 7 \][/tex]

So, the length of the pool in yards is 7 yards.

Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.

Answers

Answer:

tan35 = 9/x

Step-by-step explanation:

I'm typing this to get 20+ characters

Answer:

tan(35)=9/x

Step-by-step explanation:

tan is opposite over adjacent and the only angle given is the 35 so you would use tangent 35 to solve for x.

If cosθ=1/3 , then sinθ = _____.

Answers

Answer:

[tex]sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]

Step-by-step explanation:

We can use the following trigonometric property that relates the sine function and the cosine function:

[tex]sin^2\theta+cos^2\theta=1[/tex]

we solve for [tex]sin \theta[/tex]:

[tex]sin^2\theta=1-cos^2\theta\\\\sin\theta=\sqrt{1-cos^2\theta}[/tex]

we are give the value of [tex]cos\theta[/tex]:

[tex]cos\theta =\frac{1}{3}[/tex]

so we substitute this value:

[tex]sin\theta=\sqrt{1-(\frac{1}{3} )^2}[/tex]

and we solve the expression:

[tex]sin\theta=\sqrt{1-\frac{1}{9} } \\\\sin\theta=\sqrt{\frac{8}{9} } \\\\sin\theta=\frac{\sqrt{8} }{\sqrt{9} } \\\\sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]

the answer is: [tex]sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]

The following histogram shows the theoretical probability of the number of heads you might get after flipping for coins simultaneously. If you were to flip four coins what is the probability that you get a two or more coins that land heads up?

Answers

Answer:

i think this is how you find it but i apologize if im wrong

Step-by-step explanation:

Use binomial probability since there are only two possibilities: success and failure, where success represents getting a heads, and tails being a fail. Therefore we are trying to find P(X=2), which is (42)⋅(0.5)2⋅(0.5)2=0.375.

The probability that you get two or more coins that land heads up is 0.6875.

What is the theoretical probability?

Theoretical probability is an approach in probability theory that is used to calculate the probability of an outcome of a specific event.

The following histogram shows the theoretical probability of the number of heads you might get after flipping for coins simultaneously.

If you were to flip four coins what is the probability that you get two or more coins that land heads up is;

Probability = flip 0 coin + flip 1 coin + flip 2 coin

Probability = 0.375 + 0.25 + 0.0625

Probability = 0.6875

Hence, the probability that you get two or more coins that land heads up is 0.6875.

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The group admission price at Wild World is given by the equation

p = 50 + 10n. Find the prices for groups with 5, 11, and 23 members.

Answers

Final answer:

To calculate the group admission prices for 5, 11, and 23 members at Wild World, we use the given equation p = 50 + 10n. The resulting prices are $100 for 5 members, $160 for 11 members, and $280 for 23 members.

Explanation:

The group admission price at Wild World is determined by the equation p = 50 + 10n, where p is the total price and n is the number of members in the group. To find the prices for groups with 5, 11, and 23 members, we substitute the corresponding values of n into the equation.

For a group of 5 members: p = 50 + 10(5) = 50 + 50 = 100.For a group of 11 members: p = 50 + 10(11) = 50 + 110 = 160.For a group of 23 members: p = 50 + 10(23) = 50 + 230 = 280.

The prices for groups with 5, 11, and 23 members are $100, $160, and $280 respectively.

Kalani has these monthly liabilities: rent $925, car payment $356, credit card
payment $125. She has a gross annual income of $96,448. What is her monthly
debt-to-income ratio? (Find her gross monthly income first.)

Answers

8037 is he gross monthly income but after all her bills it would be 6631

What is the slope in the equation y=1/2x-6

Answers

The slope in the equation y=1/2x-6 is 1/2

HELP ASAP

what is the value of x enter your answer in the box​

Answers

Answer:

x=25

Step-by-step explanation:

24²+7²=625

√625= 25

Answer:

25

Step-by-step explanation:

1) So "x" is the measurement of the longest side in a right angle triangle. The longest side is called the hypotenuse

there is actually a formula to find the measurement of the hypotenuse called the pythagorean theorem

so

a^2+b^2=c^2

where a=measurement of one side

b=measurement of other

and c=hypotenuse

hence,

24^2+7^2=x^2

576+49=x^2

625=x^2

to find value of x by itself take square root on both sides:

25=x

Hope this helps!

A parabola has one or more zero(s) if it intersects the


X-axis

Y-axis

Origin

Vertex

Answers

Y-axis is the answer hope it helped
The answer is the y-axis.

96 is 0.8​% of what​ number

Answers

97 because 97 - .8% gives you 96

So the right answer is 12000.

Look at the attached picture

Hope it will help u...

Using the greatest common factor for the terms, how can you write 56 + 32 as a product?

A) 4(14 + 8)
B) 7(4 + 8)
C) 8(7 + 4)
D) 14(4 + 2)

PLZ HELP

Answers

Answer:

8(7+4) (C.)

Step-by-step explanation:

First find the greatest number that can go into 56 and 32:

8!

Then we can see if C. works because it is the only one with an 8 out in front:

[tex]8*7=56[/tex]

and...

[tex]8*4=32[/tex]

So C. is the right answer!

Simplify: 4(5x−3)−3(4x−7)

Answers

Answer:

20x-12 and -12x+21

Which is then 8x+ 9

Step-by-step explanation:

Answer:

the answer is 8x + 9

Step-by-step explanation:

The diagram shows a wedge in the shape of a prism.
Angle BCF is a right angle.
A string runs diagonally across the wedge
from A to F.
Calculate the length A F.
Give your answer correct to 3 significant figures​

Answers

By applying the Pythagorean theorem to both triangles and connecting them, we find that x is roughly 11.547 cm, establishing the relationship between the side lengths in these right triangles.

Let's explore the relationship between two right triangles, ABC and ACF, and calculate the value of x using the Pythagorean theorem.

Triangle ABC is a right triangle with sides BC and AB both measuring x cm. By applying the Pythagorean theorem (a^2 + b^2 = c^2), where c is the hypotenuse, in this case, AC, we find:

AC² = x² + x² = 2x²

This equation relates the lengths of the sides of triangle ABC.

Now, consider triangle ACF. It's also a right triangle with side CF measuring x cm and a hypotenuse AC, which is 20 cm long. Applying the Pythagorean theorem again:

20² = AC² + x²

Since we already established that AC² is 2x² from the first triangle, we can substitute it in:

20² = 2x² + x²

This equation connects the two triangles. To find the value of x, we need to solve this equation:

20² = 3x²

Now, isolate x:

x² = (20²) / 3

x² = 400/3

x = √(400/3)

x ≈ 11.547 cm

So, x is approximately 11.547 cm.

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