MATHEMATICS HIGH SCHOOL

Factor completely 4x2 + 16x.
4(x2 + 4x)
x(4x + 16)
4x(x + 4)
Prime

Answers

Answer 1

Answer: The answer would be 4x(x + 4) because the gcf of 4x^2 + 16x is 4x and if you divide by the gcf you get 4x(x+4)

Answer 2

Answer:

Answer:

The answer is C

Step-by-step explanation:

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8.92*10^9 in standard notation

Answers

8,920,000,000

Basically just add 9 0's to that number, using the first few to get rid of the decimal places.

What is the equation of the line described below written in slope-intercept form? the line passing through point (0, 0) and parallel to the line whose equation is 3x + 2y - 6 = 0 y =-2/3 -x y =-3/2x y = 3/2x

Answers

Since the line in question is parallel to the line with the equation 3x+2y-6=0, it can be said that they have the same slope. To find the slope of the line with the given equation, transform the given equation to its corresponding slope-intercept form. Hence, the equation is now

y=(-3/2)x+3

the slope is then -3/2

and since the line in question passes through the origin, the equation of this line is then

y=(-3/2)x+0
or simply
y=(-3/2)x

Answer:

y=(-3/2)x

Step-by-step explanation:

A complement of an angle measures 10 degrees more than the measure of the angle. What is the measure of the angle and its complement? Explain your reasoning.

Answers

compelemttry angles add to 90
angles are x and y
x+y=90

x is 10 more than y
x=10+y
sub

10+y+y-90
10+2y=90
minus 10
2y=80
divide 2
y=40

sub back
x=10+y
x=10+40
x=50

numbers are 40 and 50 degrees

The angle is 40 degrees and its complement is 50 degrees. Complementary angles add up to 90 degrees. You know the angle is 40 degrees because 40 is the only angle measure that has a complement 10 more than itself.

What is the surface area of the prism? A. 138 yd2 B. 192 yd2 C. 264 yd2 D. 272 yd2

Answers

In order to find the area of the triangular prism, we need to find the area of each of the figures that make it up. It might help if you draw the triangles and rectangles that make up the prism individually.

Let's start with the two triangles at either end of the prism.

A = 1/2bh Area of a triangle
A = 1/2(6)(8) Substitute
A = 24 Multiply / Divide

We now know that the area of the triangle at the end of the prism is 24 yd². However, since there are two of these triangles, we'll need to multiply that by 2. So, in total, the area of the two triangles is 48 yd².

There are three more rectangles that we need to find the area for: the base of the prism, the vertical edge of the prism, and the slanted edge of the prism.

A = lw Area of a rectangle
A = (9)(10) Area of the slanted edge
A = 90 yd² Multiply

A = (9)(6) Area of the base
A = 54 yd² Multiply

A = (8)(9) Area of the vertical edge
A = 72 yd²

We now have the area for both triangles and each rectangle. Now, all we have to do is add these together to get the total surface area!

72 + 54 + 90 + 48 = 264 yd²
Surface Area = 264 yd²

The answer is 264 yd², or answer choice C.

The graph shows the number of laps that Jan runs as her coach times her.What is the slope of the line and what does it mean in this situation?

The slope of the line is(blank)

This means that Jan runs(blank) laps every (blank)