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3 years ago

Jennifer thinks the angles below are not supplementary because they are a pair of non-adjacent angles. Is Jennifer correct?

Mathematics

2 answers:

Novay_Z [31]3 years ago

5 0

Is there a photo that goes with the question?

lidiya [134]3 years ago

4 0

Can you please post the picture that will help a lot! :D

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2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

2 years ago

Drag expressions to complete each equation.

Maru [420]

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

$a^{b}$ × $a^{c}$ = $a^{b+c}$

$\frac{a^{b} }{a^{c} }$ = $a^{b-c}$

$a^{c}$ × $b^{c}$ = $(ab)^{c}$

7 0

3 years ago

Read 2 more answers

An image point has coordinates B'(7, -4). Find the coordinates of its pre-image if the translation used was (x + 4, y + 5).

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

B'(7, -4)

Let the pre-image coordinates be (x,y)

Consider x-coordinate,

x + 4 = 7

x = 3

Consider y-coordinates,

y + 5 = -4

y = -9

pre-image coordinates is (3, -9)

8 0

3 years ago

Read 2 more answers

Blitzkrieg is the term used to describe Germany's?

Andreyy89

“lightning” warfare with tanks used to end a fight swiftly.

5 0

3 years ago

Read 2 more answers

Pls just answer if you know, don't guess or spam. Thanks

Andreyy89

Answer:

Step-by-step explanation:

If you work through it as if you were doing polynomial long division you just have to work through the first step and then compare it to the answer. In polynomial long division you always divide the leading term of the dividend and divide it by the leading term of the divisor. In this case 24x^2 /ax = -8x. So this is a pretty simple calculation to find what a is. the xs cancel out so you get 24x/a = -8x and from here you can divide both sides by x, multiply both sides by a and then divide both sides by -8.

24x/a = -8

24/a = -8

24 = -8a

-3 = a

Now just follow through with the whole long division to make sure, but using this method should get you the right answer.

4 0

3 years ago