Evaluate 2ac if a = 1/2 and c = 9

Answers

Answer 1

Answer: 2AC=
2( $(1)/(2)$ )(9)
=9

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Help Meh PleAse: Fill in the blanks Which functions have a positive rate of change and which have a negative rate of change?
Column A Column B
1.____ 2x + 3y = −9 A.Positive
B.Negative
2._______ y = 3x − 6

3.______
x y
−1 9
0 7
1 5

4.______
x y
2 −8
3 −7
4 −6

Answers

$\sf2x+3y=-9$

Convert to slope-intercept form, y = mx + b.

$\sf2x+3y=-9$

Subtract 2x to both sides:

$\sf3y=-2x-9$

Divide 3 to both sides:

$\sf~y=-(2)/(3)x-3$

Now it's in slope intercept form, y = mx + b where 'm' is the slope. So the slope here is -2/3, which is Negative.

$\sf~y=3x-6$

This is already in slope intercept form. So the slope here is 3, which is Positive.

For #3 and #4, take any two points from the table and plug them into the slope formula.

$\sf~m=(y_2-y_1)/(x_2-x_1)$

Let's take (0, 7) and (1, 5).
x1 y1 x2 y2

$\sf~m=(5-7)/(1-0)$

Subtract:

$\sf~m=(-2)/(1)$

Divide:

$\sf~m=-2$

So the slope is negative.

For #4, let's take (2, -8) and (3, -7)
x1 y1 x2 y2

$\sf~m=(-7-(-8))/(3-2)$

Subtract:

$\sf~m=(1)/(1)$

Divide:

$\sf~m=1$

So the slope is positive.

Rachel was cutting out some fabric for a friend. She cut a piece that was 5 centimeters wide and had an area of 20 cm power. how long was the piece.

Answers

4 cm, 5 times 4 equals 20

The piece of fabric was 4 centimeters long

A convex polygon has five sides what is the sum of the exterior angle of the polygon

Answers

The Exterior Angle Sum Theorem states that the sum of the exterior angles of any convex polygon is 360 degrees.

Answer:

360 degrees

Step-by-step explanation:

Is this work correct? If not please tell me what is and how to correct the problem. ❤️

Answers

It looks all correct to me :)

Answer:

I know i'm waaaaaaaaaaaaaaay late!!! But it's correct!!!!

Step-by-step explanation:

IT'S URGENT PLZZZZZZZZZ HELP SOMEONE HELP PLZZZZZZZZZZZZZZZ I NEED IT PLZZZZZZZZZZZZZZZZZZ!!!

Answers

At start:   PE only

At end: KE and energy lost to friction

PE = KE + E
E = PE - KE
    = mgh - (1/2)mv^2
    = (40)(9.8)(12) - (.5)(40)(10)^2
    = 2704J

Travis is building a rectangular sandbox for his younger brother. The length of the sandbox is 1 foot longer than twice the width of the sandbox. The perimeter of the sandbox is 29 feet.

Answers

let's say the width is x
we know that the length is 2x+1 (1 foot longer than twice the width)
the perimeter is all sides added up so that's x+x+2x+1+2x+1 which is simplified to 6x+2
we also know that the perimeter is 29, so 6x+2=29
take 2 from both sides to get 6x=27
divide both sides by 6 to get 4.5 therefore the width is 4.5
from this we know that the length is 2(4.5)+1 since x is 4.5
now we know the length is 10.
if you want the area it is 4.5 times 10 which is 45feet^2

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