1. Write the equation of a line parallel to y = -2x + 10 that passes through point (2, 4). ​

Answer:

15 feet

Step-by-step explanation:

Answer:

15 feet

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

used a calucator

Answer:

B

Step-by-step explanation:

plug in 5

5^2-5(4)+7=12

===========================================

Work Shown:

A.

f(x) = 3x-8

f(5) = 3*5-8 ... replace every x with 5; simplify with PEMDAS

f(5) = 15-8

f(5) = 7

We can cross choice A off the list since we got 7 as an output, instead of 12.

---------------

B.

f(x) = x^2-4x+7

f(5) = (5)^2-4(5)+7

f(5) = 25-4(5)+7

f(5) = 25-20+7

f(5) = 5+7

f(5) = 12

We got the output we wanted. So we can stop here.

---------------

If you're curious about the others, then,

C.

f(x) = -x+14

f(5) = -5+14

f(5) = 9

That doesn't work, so we cross choice C off the list.

---------------

D.

f(x) = |x-7|

f(5) = |5-7|

f(5) = |-2|

f(5) = 2

Choice D is crossed out as well.

So only choice B works.

Answer:

2. x=25°

3. x=15°

4. x=26°

Step-by-step explanation:

For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.

30+20+x=180                  [combine like terms]

50+x=180                         [subtract both sides by 50]

x=130

Now that we have the missing angle, we can use that to solve for x.

2x+130=180                     [subtract both sides by 130]

2x=50                               [divide both sides by 2]

x=25°

Now, we know that x=25°.

For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

8x+25+2x+5=180            [combine like terms]

10x+30=180                     [subtract both sides by 30]

10x=150                            [divide both sides by 10]

x=15°

Now, we know that x=15°.

For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

x+12+52+90=180             [combine like terms]

x+154=180                        [subtract both sides by 154]

x=26°

Now, we know that x=26°.

Answer:

3. x = 5        4. x = 26

Step-by-step explanation:

3.

(2x + 5)  + 8x + 25 = 180

10x +30 = 180

10x = 150

x = 15

4.

52 + 90 + x+12 = 180

52 + 90 + 12 = 142

x + 142 = 180

x = 180 - 154

x = 26

Answer: m = 4

Step-by-step explanation: 2x4+5=13, 2x4=8 and 8+5=13.

Answer:

$1.92 a gallon!!

Step-by-step explanation:

Answer:

You will pay $1.92 per gallon.

Step-by-step explanation:

Divide 25.00 by 13 to by how much money per gallon:

[tex]25.00/13=1.923[/tex]

You cannot round up.

You will pay $1.92 per gallon.

-Hope this helps! :)

Answer:

The equation of the line is y = 2x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

Let us take two points on the line to find its equation

∵ Points (3, 3) and (0, -3) lie on the line

∴ x1 = 3 and y1 = 3

∴ x2 = 0 and y2 = -3

→ Use the rule of the slope above to find m

∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]

∴ m = 2

→ Substitute its value in the form of the equation above

∴ y = 2x + b

∵ b is the value of y at x = 0

∵ y = -3 at x = 0

∴ b = -3

→ Substitute it in the equation above

∴ y = 2x + -3

→ Remember (+)(-) = (-)

∴ y = 2x - 3

∴ The equation of the line is y = 2x - 3

Answer:

C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.

Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.  

Answer: y+7=-4(x-2)

Step-by-step explanation:

point slope formula is y-y1=m(x-x1)

it gives you m = -4

(x1,y1) = (-1,-7)

y-(-7) = -4(x-2)

negative of a negative number is positive

y+7=-4(x-2)

you leave that as your answer because thats  what point slope for is

its in that form ^  

The equation in point slope form for a linear function is [tex]y=4x+15[/tex]

Given the following points:

To write an equation in point slope form for a linear function:

The standard form of an equation of line is given by the formula;

[tex]y-y_1=m(x-x_1)[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]y-(-7)=-4(x-2)\\\\y+7=4x-8\\\\y=4x-8+7\\\\y=4x+15[/tex]

Read more: https://brainly.com/question/18123312

Answer:

y = 8x - 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x + 6 ← is in slope- intercept form

with slope m = 8

Parallel lines have equal slopes, thus

y = 8x + c ← is the partial equation

To find c substitute (3, 9) into the partial equation

9 = 24 + c ⇒ c = 9 - 24 = - 15

y = 8x - 15 ← equation of parallel line

Answer:

Slope= -2

y-intercept= 5

Step-by-step explanation:

Given:

A new four way intersection is being constructed in New York Hyde park through point P(-3,-15).

Equation of line of one road : [tex]y=-\dfrac{3}{4}x+7[/tex].

New road that will run perpendicular to the first road

To find:

The equation of line for the new road.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

We have,

[tex]y=-\dfrac{3}{4}x+7[/tex]

Slope of this line is [tex]-\dfrac{3}{4}[/tex] and y-intercept is 7.

Product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]-\dfrac{3}{4}\times m_2=-1[/tex]

[tex]m_2=\dfrac{4}{3}[/tex]

The point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

The slope of new line is [tex]\dfrac{4}{3}[/tex] and it passes through P(-3,-15). So, the equation of line of new road is

[tex]y-(-15)=\dfrac{4}{3}(x-(-3))[/tex]

[tex]y+15=\dfrac{4}{3}(x+3)[/tex]

[tex]y+15=\dfrac{4}{3}x+4[/tex]

Subtract 15 from both sides.

[tex]y=\dfrac{4}{3}x+4-15[/tex]

[tex]y=\dfrac{4}{3}x-11[/tex]

Therefore, the equation of the line representing the new road is [tex]y=\dfrac{4}{3}x-11[/tex].

Answer:

the cost of gas i think

Step-by-step explanation:

i dont really know

Answer:

I think it is, B( The length of the route

Step-by-step explanation:

Answer:

3. 11

4. -8

Step-by-step explanation:

Answer:

No because the aren’t equalll

Step-by-step explanation:

Is this ggod

Answer:

No

Step-by-step explanation:

32/4 = 8

72/10 = 7.2

Answer:

B) Statement: slope of df  = slope of bc

Reason: Transitive Property of Equality

Step-by-step explanation: i just took the test.

Answer:

C. Transitive Property of Equality

Step-by-step explanation:

Answer:

Pretty sure its 525.74

Answer:

4

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Step-by-step explanation:

Simplifying mixed numbers

Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.

Answer:

8^1/3= 2

:-))))

Answer:

-5f is lower than summer 98°f

Step-by-step explanation:

n the winter, a town has a low of -5°F. In

the summer, the same town has a high of

98°F. What is the difference in temperature?

Answer:

t+5+x

Step-by-step explanation:

It says Jenny ran 5 more miles than last week so you find the number from last week then add 5. X is the miles she ran this week

Answer:

t + 5

Step-by-step explanation:

In this problem, you have to recognize what the information is telling you in terms of the vocabulary used. For example, the first sentence tells us that she ran 5 more miles than last week. This is key because it lets us know that our expression will have an addition sign.

Once you recognize that the problem is telling you to add 5 to her previous distance, you get a final expression of t + 5. Hope this helps!

7.2

Hi there !

10.7 + (-3.5) =

= 10.7 - 3.5

= 7.2

Good luck !

Answer:

1.) y= 6x+5

2.) y= -1/3x+1

Step-by-step explanation:

Slope Intercept Form is y=mx+b,

where slope is m

the y-intercept is b

So I just plugged in the slope and y-int to get the equation

Answer:

y=1x-4

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=1(x-5)+1

1x-5+1

y=1x-4 (y=mx+b)

Answer:

v=5

Step-by-step explanation:

Answer:

It is important that we write the vertices of a triangle in a congruent statement, because it will tell us if the sides and angles are congruent.

Hope this helps you!

Odpowiedź:

5,075 dekagramu

Wyjaśnienie krok po kroku:

Biorąc pod uwagę, że:

Na jedną porcję gofra:

mąka pszenna = 1 szklanka

mleko = 1 szklanka

olej pszeniczny = 0,5 szklanki

Waga na filiżankę:

1 szklanka mąki = 16 gramów

Szklanka mleka = 24 g

Dziewczęta oliwy = 21,5 g

Na jedną porcję gofra:

(1 * 16 gramów) + (1 * 24 gramów) + (0,5 * 21,5 gramów)

16 gramów + 24 gramów + 10,75 gramów

= 50,75 grama

Odwołanie :

1 gram = 0,1 dekagramu

50,75 gramów = (50,75 * 0,1)

= 5,075 dekagramu