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3 years ago

14

Suppose a tennis player hits a ball over the net. The ball leaves his racket 0.5m above the ground. The equation h = -4.9t2 + 3.

8t + 0.5 gives the ball's height h in meters at time t in seconds.

1 answer:

garik1379 [7]3 years ago

5 0

Whats the bloody question

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Solve (2/3)-(1/x)=5/6

Keith_Richards [23]

$\frac{2}{3} - \frac{1}{x} = \frac{5}{6}$ Multiply both sides by 3
$2 - \frac{1(3)}{x} = \frac{5(3)}{6}$ Simplify the numerators
$2 - \frac{3}{x} = \frac{15}{6}$ Multiply both sides by 6
$12 - \frac{3(6)}{x} = 15$ Simplify the numerator
$12 - \frac{18}{x} = 15$ Multiply both sides by x
12x - 18 = 15x Subtract 12x from both sides
-18 = 3x Divide both sides by 3
-6 = x Switch the sides to make it easier to read
x = -6

Check your answer by plugging -6 in for the x in the original problem:

$\frac{2}{3} - \frac{1}{x} = \frac{5}{6}$ Plug in -6 for x
$\frac{2}{3} - \frac{1}{-6} = \frac{5}{6}$ Change $\frac{2}{3}$ to $\frac{4}{6}$ so all denominators are the same
$\frac{4}{6} - \frac{1}{-6} = \frac{5}{6}$ Change $\frac{1}{-6}$ to $\frac{-1}{6}$ for easier work
$\frac{4}{6} - \frac{-1}{6} = \frac{5}{6}$ Subtract the numerators (4 - (-1) )
$\frac{5}{6}$ = $\frac{5}{6}$

So, x = -6 .

5 0

3 years ago

What expressions represent divide the difference of 27 and 6 by the difference of 12 and 9?

sesenic [268]

Answer:

27-6/12-9

Step-by-step explanation:

27-6/12-9

21/3=7

5 0

3 years ago

Read 2 more answers

4x^2+2x-5-3x and 6x^2-x+3-2x^2-8<br><br> Are these two expressions equal? Show how you know

aivan3 [116]

Step-by-step explanation:

Simply Equation 1

R. H. S

6x^2 -x +3-2x^2-8

==> 6x^2-2x^2 -x +3-8

==> 4x^2-x-5 .....(1)

Simply equation 2

L. H. S

4x^2+2x-5-3x

==> 4x^2 +2x-3x-5

==> 4x^2-x-5 ....(2)

Since here, RHS = LHS

both eqn (1) = eqn(2)

hence they are equal.

7 0

2 years ago

Read 2 more answers

Given that f(x) = 4x + 5 and g(x) = x2 - 2x - 2, find (f + g)(x).

Tom [10]

Answer:

x^2 + 2x + 3

Step-by-step explanation:

x^2 - 2x -2 + (4x +5) -------------> x^2 +2x +3

In terms of x so it stays the same

6 0

3 years ago

MAVERICK [17]

Answer:

43°

Step-by-step explanation:

Calculating for the measure of angle C using

<h3>sine rule</h3>

$\frac{sin18}{9} = \frac{sinc}{20} \\ sinc = \frac{sin18 \times 20}{9} \\ sinc = 0.6867 \\ c = \csc(0.6867) \\ c = 43.3869 \\ c = 43 \: degrees$

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2 years ago