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3 years ago

Calculus1 help involving graphs.

Mathematics

1 answer:

tatuchka [14]3 years ago

4 0

Answer:

-0.67

Step-by-step explanation:

Pick two points on the tangent line, and find the slope between them.

The line passes through approximately (30,145) and (90, 105).

m = (105 − 145) / (90 − 30)

m = -0.67

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Ratling [72]

Answer:

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2 years ago

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The approximate height, h, in meters, traveled by golf balls hit with two different clubs over a horizontal distance of d meters

inna [77]

Answer:

a) 100 metres

b) 10 metres

Step-by-step explanation:

Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: $h=-0.002d^2+0.3d\,,\,h=-0.004d^2+0.5d$

To find: distances when the ball is at the same height when either of the clubs are used. Also, to find this height

Solution:

(a)

$-0.002d^2+0.3d=-0.004d^2+0.5d\\d(-0.002d+0.3)=d(-0.004d+0.5)\\-0.002d+0.004d=0.5-0.3\\0.002d=0.2\\d=\frac{0.2}{0.002}=100\,\,metres$

(b)

Put d = 100 in $h=-0.002d^2+0.3d$

$h=-0.002(100)^2+0.3(100)\\=-20+30\\=10\,\,metres$

4 0

3 years ago

2. Write an equation in slope intercept form with the given Information Goes through points (1, 8) and (5, 0)

pantera1 [17]

Answer:

$y = -2x + 10$

Step-by-step explanation:

Slope: $m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

Slope-Intercept Form: $y=mx+b$

$m=\frac{8-0}{1-5}$

$m = -2$

$y = -2x + b$

$0 = -2 (5)+b$

$0=(-10)+b$

$b = 10$

$y = -2x + 10$

8 0

2 years ago