Which is a correct classification for the triangle?

valentinak56 [21]

Answer:

$\dfrac{3x+4}{2x-2}$

Step-by-step explanation:

Invert and multiply the way you would any fraction division problem. Then cancel common factors from numerator and denominator.

$\displaystyle\frac{\left(\frac{4x^2+2x}{x^2+x-2}\right)}{\left(\frac{8x^2+4x}{3x^2+10x+8}\right)}=\frac{4x^2+2x}{x^2+x-2}\cdot\frac{3x^2+10x+8}{8x^2+4x}\\\\=\frac{2x(2x+1)(3x+4)(x+2)}{4x(2x+1)(x-1)(x+2)}=\frac{3x+4}{2(x-1)}\\\\=\frac{3x+4}{2x-2}$

4 0

3 years ago

Which of the lines graphed has a slope of -1/2 and a y-intercept of 3

MAXImum [283]

Answer:

The correct option is C).

Figure show the line with slope of -1/2 and a y-intercept of 3

Step-by-step explanation:

The equation of line is given by y=mx+c.

Where m is slope and c is y-intercept.

Given that line has slope

m= $\frac{-1}{2}$ and c=3

Thus equation of line will be

y=mx+c.

y= $\frac{-1}{2}x+3$

To plot the line we need at least two points

Take x=0

y= $\frac{-1}{2}x+3$

y= $\frac{-1}{2}0+3$

y=3

The required point is A(0,4)

Take x=2

y= $\frac{-1}{2}2+3$

y=2

The required point is B(2,2)

Using this points to graph the given equation of line

Figure show the line with a slope of -1/2 and a y-intercept of 3

The correct option is C).

7 0

3 years ago

Can someone please help me on this question? Use the following diagram to find the fraction representing each collection of dots

ale4655 [162]

Answer:

a. 4/7

e. 3/4

Step-by-step explanation:

For each part of the question, count the dots that meet the first requirement, and count the dots that meet the "fraction of ..." requirement. The desired fraction is the ratio of these numbers. In the answers above, we have reduced the fractions to lowest terms, but the question does not seem to require that.

__

a. The desired fraction is ...

(dots in the triangle)/(all dots) = 16/28 = 4/7

__

e. (dots in the rectangle not in the circle)/(dots in the rectangle) = 9/12 = 3/4

8 0

3 years ago

When evaluating, what will be the exponent of 10 in the quotient?<br> 3<br> 4<br> 8<br> 16

qaws [65]

In this case it would be 8

3 0

3 years ago

Read 2 more answers

Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the ha

Lana71 [14]

Answer:

SA = 3.04m²

Step-by-step explanation:

SA = 2 x ( Length x Width + Width x Height + Length x Height )

SA = 2 x ( 0.4 x 1 + 0.4 x 0.8 + 1 x 0.8 )

SA = 2 x ( 0.4 + 0.32 +0.8)

SA = 2 x 1.52

SA = 3.04 m²

I wish this could help you !

5 0

3 years ago