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3 years ago

Select the products that are equivalent to -100.

Mathematics

1 answer:

Minchanka [31]3 years ago

4 0

Answer: 2 and 3
Explanation:
-1(25)(4) = -1(100) = -100

-4(5)(5) = -4(25) = -100

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Quadrilateral ABCD has vertices A(1,0) B(5,0) C (7,2) D(3,2). Use slope to prove that ABCD is a parallelogram.

Galina-37 [17]

Answer:

$AD \parallel BC$

$AB \parallel CD$

Step-by-step explanation:

The vertices of quadrilateral ABCD are A(1,0) B(5,0) C (7,2) D(3,2).

The slope of side AB is

$M_{AB}=\frac{0-0}{5-1} =\frac{0}{4}=0$

The slope of side BC is

$M_{BC}=\frac{2-0}{7-5} =\frac{2}{2}=1$

The slope of side CD is

$M_{CD}=\frac{2-2}{3-7} =\frac{0}{-4}=0$

The slope of AD is

$M_{AD}=\frac{2-0}{3-1} =\frac{2}{2}=1$

$AD \parallel BC$

$AB \parallel CD$

We see that the opposite sides of the quadrilateral ABCD are equal.

Hence the quadrilateral is a parallelogram

4 0

3 years ago

Graph this rational equation. Identify the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asy

irakobra [83]

Step-by-step explanation:

We have given,

A rational function : f(x) = $\frac{x-2}{x-4}$

W need to find :

Point of discontinuity : - At x = 4, f(x) tends to reach infinity, So we get discontinuity point at x =4.

For no values of x, we get indetermined form (i.e $\frac{0}{0}$ ), Hence there is no holes

Vertical Asymptotes:

Plug y=f(x) = ∞ in f(x) to get vertical asymptote {We can us writing ∞ = $\frac{1}{0}$ }

i.e ∞ = $\frac{x-2}{x-4}$

or $\frac{1}{0}=\frac{x-2}{x-4}$

or x-4 =0

or x=4, Hence at x = 4, f(x) has a vertical asymptote

X -intercept :

Plug f(x)=0 , to get x intercept.

i.e 0 = $\frac{x-2}{x-4}$

or x - 2 =0

or x = 2

Hence at x=2, f(x) has an x intercept

Horizontal asymptote:

Plug x = ∞ in f(x) to get horizontal asymptote.

i.e f(x) = $\frac{x-2}{x-4}$ = $\frac{x(1-\frac{2}{x} )}{x(1-\frac{4}{x} )}$

or f(x) = $\frac{(1-\frac{2}{∞} )}{(1-\frac{4}{∞} )}$

or f(x) = 1 = y

hence at y =f(x) = 1, we get horizontal asymptote

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3 years ago

Pleaseeee help fast

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7 0

2 years ago

Read 2 more answers

How can you use the backward problem-solving strategy to solve a two-step equation

neonofarm [45]

Let's use the equation 5x - 20 = 10 as an example for this.

To work backwards from this, you would add the same amount to each side.

You want to isolate the 5x so that you can solve for x.

To do that, you would add 20.

But again, you must add and subtract the same amount to both sides.

So it would look a bit like this:

5x - 20 + 20 = 10 + 20

That would simplify to 5x = 30, or in other words, x = 6.

Basically, you isolate the multiple of the variable then divide the answer to the equation from that multiple.

In the example, 5 is the multiple and after isolating it, the answer was 30.

30 ÷ 5 = 6

x = 6

Hope this helps :)

5 0

3 years ago

Please answer, Thank you so much in advance

Gre4nikov [31]

D 8x-3 because must add them all together

3 0

3 years ago