A line passes through the point (-2,7) and has a slope of -5

A Line Passes Through The Point (-2,7) And Has A Slope Of -5

Answers

Answer 1

Answer:

       y - 7 = -5(x + 2)         a = -1

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                            y - y₁ = m(x - x₁)

m = -5

(-2, 7)    ⇒   x₁ = -2,  y₁ = 7

y - 7 = -5(x - (-2))

y - 7 = -5(x + 2)            

(a, 2)   ⇒   2 - 7 = -5(a + 2)

                   -5 = -5a - 10

                   5a = 5 - 10

                     5a = -5

                       a = -1


Related Questions

Determine which equation has the same solutions as the given equation.
x – 10k- 11=0
O A. (x-10)2 = 36
B. (x - 10)2 = 21
OC. (x - 5)2 = 21
OD. (x - 5)2 = 36

Answers

Answer:

D

Step-by-step explanation:

What is the solution to the equation 2(x + 3)2 = 98?

Answers

Answer: if you're solving by x it would be x=43/2

Step-by-step explanation:

I thought I could do this myself but failed, can someone please help me answer this and show work so I can know what to do for future reference. I would like to complete this seeing how this is my last question of the week.

Answers

Answer:

area: 1070

perimeter: 434 units

Step-by-step explanation:

area:

- use pythagoream theorem to find the height, which is gonna be 84

- from there, you're gonna wanna find the area of the rectangle and then the two triangles. the way i do it is by just finding the area of the rectangle first, 100x84 = 8400, and then finding the area of the triangles (35x84/2 = 1470 and 20x84/2 = 840)

- you have the area of all shapes, now just add them together (8400+1470+840 = 10710)

perimeter:

just add all the lengths given together.

A graph of is shown on the grid.


What are the zeros of f?

Answers

Answer:

no graph is provided, the zeros of f cannot be found without a graph

Step-by-step explanation:

Identify the transformation from figure A to figure B in the image below.
glide reflection
reflection
translation
dilation

Answers

Answer:

Reflection

Step-by-step explanation:

Here, we want to get the transformation that yielded figure B from figure A

Looking at the plot, we can see that we have the origin as the center of transformation

The kind of transformation however is reflection

The shape A was reflected about the origin or the point (0,0) to give shape B

Answer:

glide reflection

Step-by-step explanation:

got it right on a quiz

help will give brainliest if right

BTW the last answer choice is D. 1

Answers

i think maybe it's A. sorry if that's wrong

What is the arc length of the shaded region of the circle to the newest centimeter?

Answers

l=theta (in radians) x radius
So 28 degrees =7pi/45
Then 7pi/45 x 4 =1.954768762 = 2cm (to nearest cm)

Help please I’ll give brainliest

Answers

X=20 because 28/7 is 4 and 5*4 is 20
x=20 bc 7x4=28 therefor 5x4=20

Find the area of the following shapes.

Answers

Area of small rectange = 7 cm × 4 cm = 28 cm sq

Area of bigger rectangle = 4cm×10 cm = 40 cm sq

Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq

total area of polygon = ( 28 + 40 + 12 ) cm sq

area of polygon = 80 cm sq

Write a linear function f with f(2)=-2 and f(1)=1

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

x   y

0  4

1    1

2  -2

Going down 3 for every increase of x by 1, when x = 0, y = 4

BRAINIEST TO WHIVER RIGHT HELP

Answers

The least value is the smallest number in a set. So in this case it would be 3 since the first marker marks 3 on the box plot.

Find x and y
Show all the work

Answers

Answer:

x=27°

y=4 units

Step-by-step explanation:

To find x:

The sum of all the angles in a quadrilateral is 360°. In a rhombus (you know it's a rhombus because it's a quatrilateral where all the sides are congruent), opposite angles are congruent. Because you're given that the measure of ∠T is 127°, you also know that m∠V=127°. You also know that m∠U=m∠S=(2x-1)°.

Using this information, set up an equation.

127+127+(2x-1)+(2x-1)=360

You can just divide both sides by 2 to get:

127+(2x-1)=180

Then, just solve for x.

127+2x-1=180

2x+126=180

2x=54

x=27°

To find y:

All the sides are given to be congruent. That's what the little marks on the sides mean, and that's how we knew it was a rhombus earlier.

So SV=VU=UT=TS

SV=6y-5

VU=3y+7

Since SV=VU:

6y-5=3y+7

Solve for y.

3y=12

y=4

Hope I could help!

The area of the rectangle below is 18 square units. What is the width of the rectangle? Write and solve a division equation to find the width of the rectangle.

Answers

Answer:

24/5 or 4 and 4/5

Step-by-step explanation:

3 and 3/4=15/4

18 divided by 15/4=4 and 4/5

4 and 4/5=24/5

24/5 times 15/4=18

Answer:

I agree with the person above but I'm not so sure.

Please help me i dont understand this

Answers

Answer:

209.3

Step-by-step explanation:

V=πr^2h / 3

 = 3.14 x 25 x 8 /3

  = 209.3

01. Apenas uma das matrizes abaixo é, ao mesmo tempo, quadrada, diagonal e identidade. Identifique-a: a[0,1,0,1]. B[1,0,0,1]. C[1,3,0,1]. D[1,1,1,1]. E[0,1,1,0]]

Answers

Responder:

b)

1 0

0 1

Explicação passo a passo:

Das opções fornecidas:

Todas as opções atendem à condição de uma matriz quadrada, pois todas têm o mesmo número de linhas e colunas (2 * 2)

Para ter uma matriz diagonal, todas as entradas fora da diagonal principal serão Zero.

Por outro lado, a matriz de identidade é um tipo especial de matriz quadrada com uma ao longo da diagonal principal.

Indo por essas condições apenas a matriz (b); atende às três condições.

How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.

Answers

Answer: See explanation

Step-by-step explanation:

The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.

The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:

= 3000 - 300

= 2700

Hal put $3000 into a savings account that earns 6% interest. After 6 years, what will be the total amount of money in his savings account?

Explain for BRAINLIST.

Answers

Answer:

6000

Step-by-step explanation:

so you have to divide 3000 and 6 to get 500

next you would do  500 times 6 equals = 3000

so now you would plus them and get 6000

now that is your answer

please give me branlyiest

Find the area of the smaller sector.
brainlest

Answers

Answer:

44.68 m²

Step-by-step explanation:

Area of a sector = θ/360*πr²

Where,

θ = 80°

r = 8 m

Plug in the values into the equation

Area of the sector = 80/360*π*8²

= 44.6804288 ≈ 44.68 m² (nearest hundredth)

You have 7 donuts to share evenly among you and your three brothers. Which equation describes how many donuts each of you will receive? Choose 1 answer: Choose 1 answer: 7÷4= 7/4 7÷3=7/3 3÷7=3/7 4÷7=4/7

Answers

Answer:

7/3

Step-by-step explanation:

Since you have seven donuts to share with three brothers, you can calculate that each one of you will get 2 donuts and there will be a spare one left. You know that you also have to share that one so you split it into thirds. 7/3 = 2 1/3

Hope I helped!

Brainliest? :o

Keywords: donuts, donut, brother, equation, receive

It’s 7/4 because it’s You AND your 3 brothers

If p=9 and q=30, evaluate the following expression:p−q/3​

Answers

Answer:

-1

Step-by-step explanation:

p = 9

q = 30

p - q/3

9 - 30/3

9 - 10

-1

Asking this again because the person who answered the last one gave the incorrect answer. If 7 iced cupcakes cost $21, then how much would 5 iced cupcakes cost?

Answers

Answer:

$15 for 5 cupcakes

Mr. Davis is packing a box with books. The box is a rectangular prism with the 2 ft 3 ft 2 ft What is the volume of the box?

Answers

Answer:

12 ft^3

Step-by-step explanation:

Given data

Dimension

Lenght= 2ft

Width= 3ft

Height= 2ft

The expression for the volume is

Volume= L*W*H

Substitute

V= 2*3*2

V= 12 ft^3

Hence the volume of the box is 12 ft^3

write 20.5×10^-5 in standard form. please help​

Answers

Answer:

the answer is 2.05×10^-4

Find the lateral surface 14ft area of the 2ft cylinder. Round your answer to the nearest tenth if necessary.

Answers

Answer:

616 square feet

Step-by-step explanation:

Lateral surface area of a cylinder can be determined by;

Lateral surface area = 2[tex]\pi[/tex]rh

where: r is its radius, and h is its height.

Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;

Lateral surface area = 2[tex]\pi[/tex]rh

                         = 2 x [tex]\frac{22}{7}[/tex] x 2 x 14

                         = 2 x 22 x 2 x 7

                         = 616

Lateral surface area = 616 square feet

Thus, the lateral surface area of the cylinder is 616 square feet.

Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?

Answers

Answer:

the mean is $80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Mean of Phone Bills =

[tex] \frac{phone \: bills \: total}{number \: of \: phone \: bills} \\ = \frac{95 + 67 + 43 + 115}{4} \\ = \frac{320}{4} \\ = 80[/tex]

The square root of 17 is between the what two whole numbers? (just list them with a comma in between them.)

Answers

Answer:

17 lies between 16 and 25. So√17 lies between √16 and √25. The prime factorization method is used to write a square root of a non-perfect square number in the simplest radical form.

Answer:

The answer is 16,25

Find the product: (6x+5)(2x−7)

Answers

-420 is your answer
your welcome make me the brainliest!!!

Can y’all help with geo?

Answers

Here's the solution,

figure 1.

by using trigonometry,

=》

[tex] \sin(60) = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{ \sqrt{3} }{2} = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{ \sqrt{3} }{2 \times 5 \sqrt{3} } [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{1}{10} [/tex]

=》

[tex]y = 10[/tex]

And,

=》

[tex] \cos(60) = \dfrac{w}{y} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{w}{10} [/tex]

=》

[tex]w = 5[/tex]

So, values are :

y = 10w = 5

figure 2.

Since, it's an isosceles triangle, w = y,

So, by pythagoras theorem :

=》

[tex] {w}^{2} + {y}^{2} = (7 \sqrt{2} ) {}^{2} [/tex]

=》

[tex] {w}^{2} + {w}^{2} = 98[/tex]

=》

[tex]2 {w}^{2} = 98[/tex]

=》

[tex] {w}^{2} = 49[/tex]

=》

[tex]w = \sqrt{49} [/tex]

=》

[tex]w = 7[/tex]

and we know, w = y, so their values will be equal to 7 units.

Which expression is equivalent to
2x +3 - 3x + (-2)
A x + 5
B 12
12x - 1
x + 1
D 1 - 1

Answers

Answer:

-x + 1

Step-by-step explanation:

First, rewrite 2x +3 - 3x + (-2) as 2x +3 - 3x - 2.  Note that +(-2) = -2.

Next, combine like terms.  We get -x + 1.  

Double check to determine whether this is one of the given possible answers.

Two people start biking from the same point. One heads east at 13 ​mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 ​minutes? What is the rate at which the distance between the two people is changing after 25 ​minutes?

Answers

Answer:

[tex]22.21\ \text{mph}[/tex]

[tex]22.2\ \text{mph}[/tex]

Step-by-step explanation:

[tex]\dfrac{da}{dt}=13\ \text{mph}[/tex]

[tex]\dfrac{db}{dt}=18\ \text{mph}[/tex]

[tex]\dfrac{dc}{dt}[/tex] = Rate at which the distance between the two people is changing

At 25 minutes

[tex]a=13\times \dfrac{25}{60}=5.417\ \text{miles}[/tex]

[tex]b=18\times \dfrac{25}{60}=7.5\ \text{miles}[/tex]

[tex]c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}[/tex]

Distance between the two people is

[tex]c^2=a^2+b^2[/tex]

Differentiating with respect to time we get

[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}[/tex]

Distance between the two people is changing at a rate of [tex]22.21\ \text{mph}[/tex].

At 35 minutes

[tex]a=13\times \dfrac{35}{60}=7.583\ \text{miles}[/tex]

[tex]b=18\times \dfrac{35}{60}=10.5\ \text{miles}[/tex]

[tex]c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}[/tex]

Distance between the two people is

[tex]c^2=a^2+b^2[/tex]

Differentiating with respect to time we get

[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}[/tex]

Distance between the two people is changing at a rate of [tex]22.2\ \text{mph}[/tex].

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