3 3x-8 combine like terms.

Nadine wants to convince her school to provide the students with an extra playground.

ICE Princess25 [194]

Answer:

The school would have to give $300 and each side would be 100cm

Step-by-step explanation:

(4x - 8)cm = Side length

Solve for X

3(4x - 8) = 300

(Getting rid of the three)

(12x -24) = 300

(Getting rid of the 24)

(12x) = 324

(Getting rid of the 12)

(12x/12) = 324/12

X = 27

27 x 4

Side length = (108 - 8)

108 - 8 = 100cm

100 x 3 = 300cm (1cm = $1)

$300

Each Side would be 100cm

8 0

2 years ago

The tangents to the curve with equation y = x^3-3x at the points A and B with x coordinates −1 and 4 respectively meet at the po

sladkih [1.3K]

Answer:

$\displaystyle C=\left(\frac{26}{9}, 2\right)$

Step-by-step explanation:

We need to find the equation of the tangent lines of Points A and B.

Differentiate the equation:

$\displaystyle \frac{dy}{dx}=3x^2-3$

Point A has an x-coordinate of -1. Hence, the slope of its tangent line is:

$\displaystyle \frac{dy}{dx}\Big|_{x=-1}=3(-1)^2-3=0$

Find the y-coordinate of Point A using the original equation:

$y(-1)=(-1)^3-3(-1)=2$

Hence, Point A is (-1, 2).

Thus, the tangent line at Point A is:

$y-2=0(x-(-1))$

Simplify:

$y=2$

Point B has an x-coordinate of 4. Hence, the slope of its tangent line is:

$\displaystyle \frac{dy}{dx}\Big|_{x=4}=3(4)^2-3=45$

Find the y-coordinate of Point B:

$y(4)=(4)^3-3(4)=52$

Thus, Point B is at (4, 52).

So, the tangent line at Point B is:

$y-52=45(x-4)$

Simplify:

$y=45x-128$

Point C occurs at the intersections of the tangent lines of Points A and B. Set the two equations equal to each other and solve for x:

$2=45x-128$

We acquire:

$\displaystyle x=\frac{26}{9}$

Since one of our equations is y = 2, the y-coordinate is 2.

Hence, Point C is:

$\displaystyle C=\left(\frac{26}{9}, 2\right)$

5 0

3 years ago

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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Nat2105 [25]

Answer:

Step-by-step explanation:

First choose two points on the line,

Let the points are A and B.

From point A to B we are moving downwards by (5 - 1 = 4 units)

Therefore, Rise = -4

Horizontal distance between A and B = 2 units

Therefore, Run = 2

Since, slope of a line = $\frac{\text{Rise}}{\text{Run}}$

Slope = $\frac{-4}{2}$

= -2

7 0

2 years ago

Find the GCD of 48,120

dexar [7]

Answer:

24 is the GCD of 48,120

plz mark me as brainliest

3 0

2 years ago

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9. The water level is 3 feet below your dock. The tide goes out, and the water level lowers 1 foot. A storm surge comes in, and

guapka [62]

We know that that the water level is 3 feet below your deck. (-3)
When the tide goes out, the water level lowers 1 foot. (-1)
A storm surge comes in, the water level rises 2 feet. (+2)

New water level: -3-1+2= -4+2= -2
The new water level is 2 feet below the dock.

Mark as brainliest pls. Any concern or comment, talk to me.

3 0

2 years ago

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