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3 years ago

NEED HELP ASAP! 40 POINTS!

Mathematics

2 answers:

lubasha [3.4K]3 years ago

6 0

Since the functions represent the heights of the rockets, and we are trying to find when the heights are the same, we essentially just want to know where the functions equal each other.

To find this, let's set both functions equal to each other and solve:

$-16x^2 + 74x + 9 = -16x^2 + 82x$

Set up equation

$74x + 9 = 82x$

Add $16x^2$ to both sides of the equation

$9 = 8x$

Subtract $74x$ from both sides of the equation

$\boxed{x = \dfrac{9}{8}}$

Divide both sides of the equation by 8

Our answer is 9/8 seconds, or approximately 1.13 seconds.

vladimir1956 [14]3 years ago

3 0

Same height when both equations are equal

-16x^2 + 74x + 9 = -16x^2 + 82x

82x - 74x = 9

8x = 9

x = 9/8

x = 1.125

x = 1.13 ---->rounded to nearest hundredths of seconds

answer

1.13 seconds

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3 Ximena draws an X shape in the coordinate plane as shown. Draw the images of

VARVARA [1.3K]

When a shape is rotated, it must be rotated around a point.

<em>See attachment for the image of each rotation.</em>

To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.

The top coordinates of the X shape are:

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$(x,y) \to (-y,x)$

So, we have:

$A' = (0,0)$

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For 180 degrees rotation, the rule is:

$(x,y) \to (-x,-y)$

So, we have:

$A' = (0,0)$

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For 270 degrees counter rotation, the rule is:

$(x,y) \to (y,-x)$

So, we have:

$A' = (0,0)$

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See attachment for the image of each rotation

Read more about rotations at:

brainly.com/question/1571997

3 0

3 years ago

marty has 1 1/3 jugs of apple juice. he uses 3/4 of the juice to make freeze pops. what fraction amount of a jus doe marty have?

Vedmedyk [2.9K]

Answer:

=2 $\frac{1}{12}$

Step-by-step explanation:

We have to make the fractions equal so we can add them

1 $\frac{1}{3}$ ×4= 1 $\frac{4}{12}$

$\frac{3}{4}$ ×3= $\frac{9}{12}$

1 $\frac{4}{12}$ + $\frac{9}{12}$ =2 $\frac{1}{12}$

5 0

3 years ago

Read 2 more answers

The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct

lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

$y=\dfrac{x}{1+x}$

Point $P\left(1,\dfrac{1}{2}\right)$ lies on the curve.

Point $Q\left(x,\dfrac{x}{1+x}\right)$ is an arbitrary point on the curve.

The slope of the secant line PQ is

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]$