For g(x) = −4x, find g(x) when x = −6 and when x = 2.

Answer:

y = 3x/2-14

Step-by-step explanation:

We are given that the line is perpendicular to y = -2/3 and contains (4,-8).

Perpendicular Def.

[tex] \displaystyle \large{m_1m_2 = - 1}[/tex]

Both slopes multiply each others equal to -1.

Finding another slope that is perpendicular to -2/3, substitite m1 = -2/3 in.

[tex] \displaystyle \large{ - \frac{2}{3} m_2 = - 1}[/tex]

Multiply both sides by 3.

[tex] \displaystyle \large{ - \frac{2}{3} m_2( 3) = - 1(3)} \\ \displaystyle \large{ - 2 m_2= - 3} \\ \displaystyle \large{ m_2= \frac{3}{2} }[/tex]

Therefore, another slope that is perpendicular to -2/3 is 3/2.

Then rewrite in slope-intercept form.

Slope-Intercept

[tex] \displaystyle \large{y = mx + b}[/tex]

where m = slope and b = y-intercept; substitute m = 3/2 in.

[tex] \displaystyle \large{y = \frac{3}{2} x + b}[/tex]

Since the line contains (4,-8), substitute x = 4 and y = -8 in and solve for b.

[tex] \displaystyle \large{ - 8 = \frac{3}{2} (4) + b} \\ \displaystyle \large{ - 8 = 3(2)+ b} \\ \displaystyle \large{ - 8 = 6 + b} \\ \displaystyle \large{ - 8 - 6 = b} \\ \displaystyle \large{ - 14 = b}[/tex]

Therefore, b is -14; rewrite again in slope-intercept form.

Thus:-

[tex] \displaystyle \large{y = \frac{3}{2} x + b} \\ \displaystyle \large{y = \frac{3}{2} x - 14}[/tex]

Answer:

Step-by-step explanation:

Answer:

m<2 = 47.5 degrees

m<3 = 42.5 degrees

m<4 = 42.5 degrees

Step-by-step explanation:

<1 = <2 Given

<1 = 47.5 Given. <2 = 47.5

<1 and <3 are complementary angles. Given

<1 + <3 = 90 degrees

<3 = 90 - 47.5 = 42.5 degrees

<4 = <3

Answer: 7.283464567 inches

Step-by-step explanation:

36.5 - 18 = 18.5 cm

convert cm to inches

18.5 cm = 7.283464567 inches

please give me a brainliest answer

Answer:

2 friends

Step-by-step explanation:

use decimals 2.5 and 1.25 divide them and you will get 2

Answer: y = 5/5x - 5

Step-by-step explanation:

15/11 is a mixed number already, it is 1.363636363636........

Answer:

[tex]1\frac{4}{11}[/tex]

Step-by-step explanation:

You can read [tex]\frac{15}{11}[/tex] as "15 divided by 11"

So to figure out the mixed number, you do just that.

11 goes into 15 1 time, then you subtract 11 from 15, which gives you a remainder of 4. You put 4 as your numerator and 11 is your denominator.

I've attached an image that shows the math. Hope that helps!

Answer:

hello again

(-3, 5)

Step-by-step explanation:

extra characterssss

Using Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto H^2=11^2+6^2[/tex]

[tex]\\ \sf\longmapsto H^2=121+36[/tex]

[tex]\\ \sf\longmapsto H^2=156[/tex]

[tex]\\ \sf\longmapsto H\approx12.33[/tex]

Answer:

reduction, scale factor of 1/2

Step-by-step explanation:

because the rectangle is getting smaller, it is a reduction. the length got shorter by 1/2 (2.5/5) so the scale factor is 1/2

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

Explanation:

Point R is located at (-2,4)

Shift it to the right 4 units to move it to (2,4). Note how I added 4 to the x coordinate.

Then we subtract 7 from the y coordinate to move it 7 units down. We move from (2,4) to (2,-3) which is where point R' is located.

Check out the diagram below.

Answer:

c d

Step-by-step explanation:

The measure of angle 7 is 95°

Answer:

tske the L to have with me or 1v1 me first to 2

Answer:

AINLIEST!! Find the following for the function f(x) = 4x^2.+ 2x - 3

Step-by-step explanation:

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

Explanation:

Let's say we had 12 skateboards and 12 scooters. I'm picking 12 because 4*3 = 12 after multiplying the denominators. Doing this trick will mean we end up with whole number results instead of decimals.

If we had 12 skateboards, then (1/4)*12 = 3 of them are red. Having 12 scooters means (2/3)*12 = 8 scooters are red.

Add up the counts of each red item to get 3+8 = 11 red items out of 12+12 = 24 items total. Therefore, the answer is 11/24

Side note: The fraction 11/24 cannot be reduced because 11 and 24 have no factors in common other than 1.

Answer:

It’s an irrational number. 3.08007288, just round it to the nearest whole number and you’ll get 3.

Answer:

C

Step-by-step explanation:

Answer:

h=60

h is on the same line as 120°, and every line is 180°, so 180 - 120 gives you the answer

The measure of ∠4 = 44°.

We have two angles ∠3 and ∠4 which are complementary of each other.

We have to find the measure of ∠4.

Two angles are said to be complementary if their sum is equal to 90°.

Mathematically -   x + y = 90°

According to the question -

∠3 = 46°

∠4 = x (Let)

Now, ∠3 and ∠4 are Complementary angles. Therefore -

∠3 + ∠4 = 90°

∠4 = 90 - ∠3

∠4 = 44°

Therefore -

∠4 = 44°

Hence, the measure of ∠4 = 44°.

To solve more questions on Complementary angles, visit the link below-

https://brainly.com/question/26142428

#SPJ2

Answer:

the answer is option c.....

Answer:

Slope of a parallel line: 3

Step-by-step explanation:

-9x + 3y = 1

3y = 9x + 1

y = 9/3x + 1/3

Slope= 9/3 = 3

Answer:

The Bengal tiger's canine tooth is 10.16 cm long.

Step-by-step explanation:

1 inch = 2.54 cm   so 4 inches = ?cm

1/2.54 = 4/?               set up a proportional ratio : inch/cm = inch/cm and solve

? = 2.54(4)

? = 10.16cm. long

Answer:

10

Step-by-step explanation:

By multiplying 3.687 by ten, it moves the decimal place by one making it 36.87.

Answer:

1/880

Step-by-step explanation:

Answer:

Hope this answer's it.

Step-by-step explanation

HOPE THIS HELPS

Answer:

5

Step-by-step explanation:

 3 + 1= 4

5/6 + 1/ 6= 4 5+1/6

5 + 1= 6

4 6/6

6÷6/6÷6= 1/1

4 1/1= 5

MARK ME BRAINLIEST

Answer:

(x-y-1)^2 or [(x-y)-1]^2

Step-by-step explanation:

We are given the expression:-

[tex] \displaystyle \large{ {(x - y)}^{2} - 2(x - y) + 1 }[/tex]

Let A = (x-y)^2

[tex] \displaystyle \large{ A^{2} - 2 A+ 1 }[/tex]

From:-

[tex] \displaystyle \large{ {x}^{2} - 2x + 1 = {(x - 1)}^{2} }[/tex]

Thus:-

[tex] \displaystyle \large{ {A}^{2} - 2A + 1 = {( A- 1)}^{2} }[/tex]

Rewrite A in (x-y)^2.

[tex] \displaystyle \large{ {(x - y)}^{2} - 2(x - y) + 1 = {( (x - y) - 1)}^{2} }[/tex]

Step-by-step explanation:

Solve for b^2.

[tex] \frac{1}{2} ( {b {}^{1} + {b}^{2} ) }{h} = a[/tex]

[tex](b {}^{1} + {b}^{2} )h = 2a[/tex]

[tex]b {}^{1} + {b}^{2} = \frac{2a}{h} [/tex]

[tex] {b}^{2} = \frac{2a}{h} - {b}^{1} [/tex]