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3 years ago

Find the y- intercept 16) y=2x-617) y=-3/4x+218)y + 2 =1/2(x-4)19)y-4=3(x+2)

Mathematics

1 answer:

____ [38]3 years ago

3 0

16) y intercept is -6
17) y intercept is 2
18) y intercept is -4...1/2 (-4) = -2 -2 = !4
19) y intercept is 10....3 × 2 + 4

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Use the information below to complete the problem: p(x) = (1)/(x + 1)

bija089 [108]

Given:

The functions are:

$p(x)=\dfrac{1}{x+1}$

$q(x)=\dfrac{1}{x-1}$

To find:

The rational expression for $p(x)-q(x)$ .

Solution:

We have,

$p(x)=\dfrac{1}{x+1}$

$q(x)=\dfrac{1}{x-1}$

Now,

$p(x)-q(x)=\dfrac{1}{x+1}-\dfrac{1}{x-1}$

$p(x)-q(x)=\dfrac{(x-1)-(x+1)}{(x+1)(x-1)}$

$p(x)-q(x)=\dfrac{x-1-x-1}{x^2-1^2}$ $[\because a^2-b^2=(a-b)(a+b)]$

$p(x)-q(x)=\dfrac{-2}{x^2-1}$

Therefore, the required rational expression for $p(x)-q(x)$ is $\dfrac{-2}{x^2-1}$ .

8 0

2 years ago

A regular heptagon has a side length of 13.9 and an apothem of 14.4. Find the area of the regular heptagon.

aev [14]

Answer: 700.56

Step-by-step explanation:

A heptagon has 7 sides, therfore a regular heptagon will have 7 equal sides

n = 7 (number of sides)

s = 13.9 (length of each sides of the heptagon)

r = 14.4 (The apothem)

The area of the regular heptagon can be calculated by:

Area = ½ n × s × r

Area = ½ × 7 × 13.9 × 14.4

Area = 700.56 square units

8 0

3 years ago

3. Compare corresponding sides that include the

slega [8]

Answer:

AB/AD=1/2 AC/AE=1/2

Step-by-step explanation:

The distance between 2 points A(x1; y1) and B(x2; y2) can be calculated as:

AB= sqrt((x1-x2)²+(y1-y2)²)

So in our case AB= sqrt ((1-3)²+(4-1)²)= sqrt(2²+3²)=sqrt(13)

AD=sqrt ((-1-3)²+(7-1)²)= sqrt(4²+6²)=sqrt(52)

AB/AD=sqrt(13)/sqrt(52)= sqrt(13/52)=sqrt(1/4) =1/2

AB/AD =1/2

AC= sqrt ((5-3)²+(3-1)²)= sqrt(2²+2²)=sqrt(8)

AE=sqrt ((7-3)²+(5-1)²)= sqrt(4²+4²)=sqrt(32)

AC/AE=sqrt(8)/sqrt(32)= sqrt(8/32)=sqrt(1/4)=1/2

AC/AE=1/2

4 0

3 years ago

6. You must start with what mathematical operator to create a formula? A. + B. - C. * D. =

trapecia [35]

You must start with =. The answer is D, =

6 0

3 years ago

2x + y + z = 9<br> -x-y +z = 1<br> 3x - y +z=9

DiKsa [7]

Answer:

603 hope this helps

3 0

3 years ago