A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.
Complete the table to determine the values of m and b.



A Line Passes Through The Points (-4,1) And (-3,3). This Line Can Be Modeled By The Equation Y = Mx +

Answers

Answer 1

Answer:

m = 2, b = 9

Step-by-step explanation:

Find m (the slope) by subtracting y1 - y2 (1 - 3 = -2) and x1 - x2 (-4 - -3 = -1). Put the y answer on top of the x answer and simplify. -2/-1 = 2 because the negatives cancel each other out.

Find b by substituting one of the coordinates into the problem.

y = mx + b

1 = 2(-4) + b

1 = -8 + b

9 = b


Related Questions

The graph of the function, fx) = -2x + 6x-3, opens blank
and has a blank
value.

Answers

The graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.

The function is given as:

[tex]f(x) = -2x^2 +6x - 3[/tex]

See attachment for the graph of function f(x).

From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.

Hence, the graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.

Read more about quadratic functions at:

https://brainly.com/question/11631534

Can anyone solve and explain part b

Answers

Answer:

Below in bold.

Step-by-step explanation:

b.

If we drop a perpendicular line from B to AC and mark the point D on AC, we have 2 right triangles, with AD = DC = 16 cm.

So tan O = BD/16 = 15/8

BD = (16*15)/8

= 2*15

= 30.

So the area of triangle ABC = 16*30

= 480 cm^2.

Please help I’ll mark brainliest

Answers

Answer:

y= 2, x= -1   (-1, 2)

Step-by-step explanation:

y= x + 3

y= -x+1

substitute y= -x+1

-x + 1 = x + 3

isolate x

-x + 1 = x + 3

x + 1 - x = x + 3 - x

After isolating x you'll get x = -1

for y= - x + 1

y= - (-1) + 1

simplify y = 2

solution:

y= 2, x= -1   (-1, 2)

the given cube has a mass of 173 grams, what is it’s density

Answers

Answer:

I think the density is 4cm.

Hope that helps you.

Step-by-step explanation:

John drove 30 miles to work each day.He moved closer too work and now he drives 18 miles to work each day what percentage did the number of mile john drove decrease

Answers

Answer:

40 i think

Step-by-step explanation:

Ayudaaa necesito resolver 2 ejercicios
A) √x+2=x
B) 3+√2x-6=x

Answers

Answer:

A) x=4

B)x=[tex]\sqrt{2}[/tex]+3 or 7.24

Step-by-step explanation:

A is 4 but I’m not sure about b

The volume of a cylinder is 600 pi cm cubed. The diameter of a base of the cylinder is 10 cm. What is the height of the cylinder?

Answers

Answer:

V = B * H      area of base * height

B = pi * (D / 2)^2 = pi * 5^2 = 78.5 cm^2

H = V / B = 600  cm^3 / 78.5 cm^2 = 7.64 cm

If two terms of an arithmetic sequence are a11 = 23 and a15 = −5, what is a28?

Answers

The value of a28 given a11 = 23 and a15 = −5 is -96

Given:

a11 = 23

a15 = −5

Where,

a1 = first term

d = common difference

a11 = a + 10d = 23

a15 = a + 14d = -5

a + 10d = 23 (1)

a + 10d = 23 (1)a + 14d = -5 (2)

subtract (1) from (2) to eliminate a

14d - 10d = -5 - 23

4d = -28

d = -28 / 4

d = -7

Substitute d = -7 into (1)

a + 10d = 23 (1)

a + 10(-7) = 23

a - 70 = 23

a = 23 + 70

a = 93

So,

a28 = a + 27d

= 93 + 27(-7)

= 93 + -189

= 93 - 189

= -96

Therefore, the value of a28 given a11 = 23 and a15 = −5 is -96

Learn more about arithmetic sequence:

https://brainly.com/question/6561461

PLEASE HELP QUESTION IN PICTURE

Answers

because these triangles share two congruent sides, the third will also be congruent.
set the equations equal to each other.
4x + 8 = 7x - 4
then combine like terms
-3x = -12
then divide to isolate the x
-12/-3 = x
4 = 4
you can then plug it in to both sides to see if it is equal/correct
4(4) + 8 = 7(4) -4
16 + 8 = 28 - 4
24 = 24

Distance between each pair of points (-6,-4.7) and (-6,4.1)

Answers

Answer:

8.8

Step-by-step explanation:

as X1=X2

we use | Y2-Y1 |

=| 4.1 -(-4.7) |

=| 8.8 |

=8.8

The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5)

Answers

Answer:

rectangle

Step-by-step explanation:

u can use a graph paper

HELP ME ON MY GEOMETRY PLEASEEEEE

Answers

Answer:

A

Step-by-step explanation:

PLEASE ANSWER QUICKLY 100 POINTS!!!! Simplify the expression below. (See picture below) What is the numerator of the simplified expression?

Answers

Answer:

13N+26/9n-26/3

Step-by-step explanation:

Answer:

13N+26/9n-26/3

Step-by-step explanation:

Mark as brainliest

A line passes through the points (-2, 9) and (1, 3).

Provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form.

Answers

Answer:

slope = -2

y-intercept = 5

Step-by-step explanation:

1) Find slope:

[tex]\frac{3-9}{1-(-2)}[/tex] =  [tex]\frac{-6}{3}[/tex] = -2

-2 = slope

2) Find y intercept trough point slope and slope-intercept forms

y - y1 = m (x - x1)

y - 9 = -2 (x + 2)

y - 9 = -2x -4

  + 9         + 9

y = -2x + 5

y = mx + b with b being the y-intercept

5 = y-intercept

7/11 x 7/15 x 3 multiply and write your answer as a fraction in the simplest form.

Answers

Answer: 49/55

7/11 x 7/15 x 3

49/165 * 3

147/165

49/55

The answer is 49/55!

Which mathematical statement represents “17 more than a number is 26”?
17 greater-than 26
n + 17 = 26
17 less-than 26
26 + n = 17

Answers

Answer:

n + 17 = 26

Step-by-step explanation:

Let's replace the sentence with mathematical terms:

17 more than a number is 26

More than means addition. The answer will also be a sum.

17 + a number is 26

Since the number is not specified, it will be represented by a variable. In this instance, the variable is n.

17 + n is 26

The equal sign will replace the word "is".

17 + n = 26

Now, we can use the associative property of addition.

17 + n = 26 into n + 17 = 26

Which mathematical statement represents “17 more than a number is 26”?

Answer:

n + 17 = 26  

Step-by-step explanation:

17 more than a number means that you are adding 17 to a number (n) to equal 26.

If you take 17 away from each side you get n = 9

9 + 17 = 26 is a true statement so the equation is correct.

A beach ball has a diameter of 18 inches. What is the approximate volume, rounded to the nearest whole number, of the inflated beach ball?

Answers

Answer:

3,052 cubic inches

Step-by-step explanation:

·· A beach ball has a spherical shape

·· Formula to calculate the volume of a sphere is given as:  

In the question, we are given

Diameter = 18 inches

We have to find the radius

Radius = Diameter/2

Radius = 18 inches/2

Radius = 9 inches

The volume of the beach ball =  

= 3,052.08 cubic inches

Approximately to the nearest whole number = 3,052 cubic inches

find the total amount due on a loan of $5000 for eight years and 10% simple interest

Answers

Answer:

170years

Step-by-step explanation:

R/100=2.5%

time= 100=0.025 per year (1/0.025) (5200\1000)-1=168

time=168 years

2. There is a 0% chance that the earth is the closest planet to the sun.
A) unlikely
B) certain
C) likely
D) impossible

Answers

Answer:

D) Impossible

Step-by-step explanation:

Unlikely = < 50%Certain = 100%Likely = > 50%Impossible = 0%

This would be B. It is certain that there is a 0% chance of the earth being the closest planet to the sun. Mercury is the closest. Earth is the third closest behind Mercury and Venus. Hope that helps.

A light post 5 1/5 metres long was set 1 1/2 metres into the ground. What was the length of the post above the ground? Write your answer in its simplest form *

Answers

Answer:

3.7 meters

Step-by-step explanation:

First, convert the fractions into decimals.

5 1/5 = 5.2

1 1/2 = 1.5

Then subtract them

5.2-1.5=3.7 meters!

Simplify to create an equivalent expression.
2-4(5p+1)}2−4(5p+1)

Answers

Answer:

-8-60p

Step-by-step explanation:

Step-by-step explanation:

there are some things missing or have been mistyped.

I assume the following basic expression :

(2 - 4(5p + 1))×2 - 4(5p + 1)

4 - 8(5p + 1) - 20p - 4

-8(5p + 1) - 20p

-40p - 8 - 20p

-60p - 8

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 16-r> 8

Answers

Answer:

  {5, 6, 7}

Step-by-step explanation:

The solution to the inequality is ...

  16 -r > 8 . . . . . given

  16 -8 > r . . . . . add r-8

  8 > r . . . . . . . simplify

The values in the replacement set that are less than 8 are {5, 6, 7}.

a toy rocket is launched from the top of a 48 foot hill. the rockets initial upward velocity is 32 feet per second and its height (h) at any given second (t) is modeled by the equation : h= -16t^2 + 32t +48.
Find the highest point the rocket reaches. show your work

Answers

Answer:

Maximum height is 64 feet

Step-by-step explanation:

For all: h= -16t²+ 32t + 48

1) AOS -> a = -16; b = 32; c = 48

x = -b/2a -> x= -32/(2×-16) = -32/-32 = 32/32 = 1/1 = 1

2) Plug in AOS

h = -16(1)² + 32(1) + 48

h= -16 + 32 + 48

h= 16 + 48

h= 64

Max height is 64

PLEASE HELP 40 POINTS PLSSSSSSSS
The graph shows the relationship between pounds of dog food and total cost in dollars for the dog food.
which statements about the graph is are true?
A Point shows the cost is $0 for 0 pound of dog food
B Point 10.5 shows the cost is $1 for 0.5 pound of dog food
C. Point 2. 1 shows that 2 pounds of dog food cost $1.
D. Point 2) shows the cost is $4 tor 2 pounds of dog food
E Point 10. shows that 10 pounds of dog food costs $5

Answers

Answer:

Point C

Step-by-step explanation:

Trust me it is correct

make me brainiest because I answered first pls

if x and x/4 are a pair of supplementary angles find angles​

Answers

[tex]\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}[/tex]

What proportion of US women have a height greater than 69.5 inches?

Answers

Using the Normal distribution, it is found that 0.0359 = 3.59% of US women have a height greater than 69.5 inches.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

US women’s heights are normally distributed with mean 65 inches and standard deviation 2.5  inches, hence [tex]\mu = 65, \sigma = 2.5[/tex].

The proportion of US women that have a height greater than 69.5 inches is 1 subtracted by the p-value of Z when X = 69.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69.5 - 65}{2.5}[/tex]

[tex]Z = 1.8[/tex]

[tex]Z = 1.8[/tex] has a p-value of 0.9641.

1 - 0.9641 = 0.0359

0.0359 = 3.59% of US women have a height greater than 69.5 inches.

You can learn more about the Normal distribution at https://brainly.com/question/24663213

does anyone know how to do this?? thank you for your help

Answers

Answer:

substitute 1 for t

Step-by-step explanation:

someone pleeeeease help me

Answers

Answer:

22.4cm

Step-by-step explanation:

The formula for the diagonal is:

[tex]d = \sqrt{l^{2} + b^{2} +h {}^{2} } [/tex]

Where:

l is the length (AB, CD)

b is the width (BC, AD)

h is the height (AE, BF, CG, DH)

We know d, l, b and we can calculate h

[tex]25 = \sqrt{10^{2} + 8^{2} + h^{2} } [/tex]

We evaluate both sides to ² to remove the square root:

[tex]25^{2} = 100 + 64 + h {}^{2} [/tex]

[tex]625 = 164 + h {}^{2} [/tex]

To find the value of h we have to do the square root, as it is to the ²:

[tex] \sqrt{625 - 124} = h[/tex]

[tex] \sqrt{501} = h = 22.4cm[/tex]

what is _ percent of 100 is 14

Answers

Answer:

It should be 14 percent.

Step-by-step explanation:

14 percent is just 14/100, which if you multiply by 100 gives you 14.

14%

Step-by-step explanation:

Whenever you have anything over 100 (e.g 40/100) that number is always gonna be 40. Like multiplying by 1. 9*1 is 1. Assume the 9 is 90 and assume the 1 is 100. It's always gonna be the numerator instead of the denominator.

Mark me brainliest if you can

HELP ME PLEASE I NEED HELP WITH THIS

Answers

Answer:

V = 82,406.16 cm³

Step-by-step explanation:

Volume of a sphere

V = 4πr³/3

V = 4•3.14•27³/3

V = 247,218.48/3

V = 82,406.16 cm³

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