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3 years ago

If g(c) = x^2-x, find g(2+h)-g(2)/h

1 answer:

6 0

<span>g(c) = x^2-x
</span><span>g(2) = 4 - 2 = 2
</span><span>g(2+h) = (2+h)^2 - (2+h)
</span>g(2+h) = 4 + 4h + h^2 - 2 -h
g(2+h) = h^2 + 3h + 2

g(2+h)-g(2)/h = ( h^2 + 3h + 2 - 2) / h
g(2+h)-g(2)/h = (h^2 + 3h) / h
g(2+h)-g(2)/h = h + 3

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In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.

Elena L [17]

Given:

PQRS is a circle, PQT and SRT are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

$m\angle SPQ+m\angle QRS=180^\circ$

$81^\circ+m\angle QRS=180^\circ$

$m\angle QRS=180^\circ-81^\circ$

$m\angle QRS=99^\circ$

Now, SRT is a straight line.

$m\angle QRT+m\angle QRS=180^\circ$ (Linear pair)

$m\angle QRT+99^\circ=180^\circ$

$m\angle QRT=180^\circ-99^\circ$

$m\angle QRT=81^\circ$ ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

$m\angle PQR=m\angle QRT+m\angle QTR$

$x=81^\circ+22^\circ$

$x=103^\circ$

Therefore, the value of x is 103 degrees.

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3 years ago

Solve for x: 3x − 2 > 5x + 10. (5 points)<br> 1) x > 6<br><br> 2) x −6

san4es73 [151]

Answer:

$x$

Step-by-step explanation:

$3x-2>5x+10$

Add 2 to both sides

$3x-2+2>5x+10+2$

Simplify

$3x>5x+12$

Subtract $5x$ from both sides

$3x-5x>5x+12-5x$

Simplify

$-2x>12$

Multiply both sides by $-1$ (reverse the inequality)

$(-2x)(-1)$

Simplify

$2x$

Divide both sides by $2$

$\frac{2x}{2}$

Divide the numbers: $\frac{2}{2} =1$

$=x$

Divide the numbers: $\frac{-12}{2}$

Apply fraction rule: $\frac{-a}{b} =-\frac{a}{b}$

$=\frac{12}{2}$

Divide the numbers: $\frac{12}{2} =6$

$=-6$

$x$

7 0

3 years ago

Read 2 more answers

20 points!! Pls help

Studentka2010 [4]

Answer:

Step-by-step explanation:

-x-3=y, therefore x = -y-3

-3x - 8y = 4

Find the value of y

Substitute the x in -3x - 8y = 4 with -y-3

We get

-3·(-y-3) - 8y = 4

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3 years ago

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Dan has ¾ of a cake left over from his birthday party. His best friend Amy ate 1/7 of the leftover cake. How much of the cake do

Dafna1 [17]

Answer:

9/14 of cake left

Step-by-step explanation:

<u>3/4 left and 1/7 of that eaten:</u>

3/4 - 3/4(1/7) =
(3/4) (1 - 1/7) =
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3 years ago

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Viefleur [7K]

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4 years ago