Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answer:

B

Step-by-step explanation:

Answer:

850/28=30 miles a gallon

Step-by-step explanation:

mark as brainlist

Answer:  15 = -i & 12=1

use the pattern : i, -1, -i, 1

Step-by-step explanation:

i = [tex]\sqrt{-1}[/tex]

[tex]i^{2}[/tex] = [tex]\sqrt{-1}[/tex]

[tex]i^{3}[/tex] = [tex]\sqrt{-1}[/tex]

[tex]i^{4}[/tex] = [tex]\sqrt{-1}[/tex]

the pattern just repeats from here

5 = i

6 = -1

7 = -i

8  = 1

9 = i

10 = -1

11 = -i

12  = 1

13 = i

14 = -1

15 = -i

16  = 1

Answer:

5x^3+15x^2-35x

Step-by-step explanation:

Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!

Answer:

The answer is D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If this is a parallelogram, then opposite sides are congruent and opposite angles are congruent. That means that

2y + 8 = 3y - 4 and

3x + 25 = 5x - 5

We'll solve that first equation for y:

-y = -12 so

y = 12 Now onto x:

-2x = -30 so

x = 15

Choice d is the one you want.

Answer:

See Explanation

Step-by-step explanation:

Given

Let

[tex]S \to[/tex] Strawberry

[tex]B \to[/tex] Banana

[tex]S : B = 2 : 3[/tex]

Solving (a):

Complete the table

The table, to be complete, is not given; so, I will generate one myself.

[tex]\begin{array}{cccccc}S & {2} & {3} & {4} & {5} & {6} \ \\ {B} & {3} & {4.5} & {6} & {7.5} & {9} \ \end{array}[/tex]

The table is generated as follows:

[tex]S : B = 2 : 3[/tex]

Multiply by 1.5

[tex]S : B = 2 * 1.5 : 3 * 1.5[/tex]

[tex]S : B = 3 : 4.5[/tex]

Multiply by 2

[tex]S : B = 2*2 : 3*2[/tex]

[tex]S : B = 4 : 6[/tex]

And so on....

In summary, whatever factor is multiplied to S must be multiplied to B; in order to keep the ratio constant

Solving (b): Why the amount are proportion

Because the ratio is constant and it remains unchanged all through.

Answer:

ok so lets divide 90 by 15 to get 6 so she gets paid 6 per student and that means lisa gets paid 12 so lets just multiply

6*20=120 so mary gets paid 120

and lisa gets paid doable that so 420

but i don't know there base pay so the i can't answer this problem

Hope This Helps!!!

Answer:

x = 15, y = 4

Step-by-step explanation:

To solve this, we have to define the triangles first. Since the triangles are congruent by HL, it means that the hypotenuse and the leg of the triangle are defined to be equal. By flipping one of the triangles upsidedown, we can visualize the hypotenuse of the triangles and the leg of the triangles (which are equal).

The two equations are the following:

[tex]x + 1 = 4y[/tex]

[tex]x = y + 11[/tex]

If I add 1 to both sides of the second equation, I get the following equation:

[tex]x + 1 = y + 11 + 1 = y + 12[/tex]

By comparing this new equation with the first one, we will get:

[tex]x + 1 = 4y = y + 12[/tex]

We can ignore x+1 for now since y can not be solved.

[tex]4y = y + 12[/tex]

By subtracting both sides of this equation by y, we will get.

[tex]3y = 12[/tex]

This solves for y, where

[tex]y = 4[/tex]

Now, we can re-use one of the equations, which is

[tex]x = y + 11[/tex]

Now that we know y is 4, we can plug it into this equation.

[tex]x = 4 + 11 = 15[/tex]

Answer:

Not really。。

Step-by-step explanation:

this school had remained excellent。students grduating from these school have higher ACT scores

Hi there!

[tex]\large\boxed{x = 38.5}}[/tex]

To solve, we can use right triangle trig.

We are given the value of ∠A, and side "x" is its adjacent side. We are also given its opposite side, so:

tan (A) = O / A

tan (33) = 25 / x

Solve:

x · tan(33) = 25

x = 38.49 ≈ 38.5

Answer:

a-b  divided into [tex]a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}[/tex]

the reason is that the (a-b) vs (a+b) in the "SOAP"

same, opposite, always a plus the "-" in the "a-b" has to match the

sign between the two cubes

Step-by-step explanation:

Answer:

[tex]slope = \frac{ - 1 - 4}{0 - 2} \\ = \frac{ - 5}{ - 2} \\ = { \tt{ \frac{5}{2} }}[/tex]

Hello,

The first transform E1 is the homothetie of center (0,0) and ratio=2

The second transform E2 is the homothetie of center (0,0) and ratio=3/2

P=(3,k)

P'=E1(P)= E1((3,k))=(2*3,2*k)=(6,2k)

P''=E2(P')=E2(6,2k)=(3/2*6,3/2*2*k)=(9,3k)=(9,12)

==> 3k=12

k=4

Answer:

12,-2

Step-by-step explanation:

0

Step-by-step explanation:

maybe

Answer:

1) 0 miles

2) (0,0)

3) the cars speed is missing? 3 * speed would be this answer

4) (3, "3*speed" )  something like (3,30) if car was going 10mph

Step-by-step explanation:

Answer:

95k

Step-by-step explanation:

Given :

15 words or less = 50k

Every word above 15 = additional 3k

The cost of 30 words :

First 15 words = 50 k

Number of additional words = (30 - 15) = 15 words

Cost of every additional word = 3 k

Cost of 15 additional word = 15 * 3 = 45k

Total cost of 30 words :

50k + 45k = 95k

Answer:

Zoe rode [tex]\frac{5}{6}[/tex] of a mile more than she walked.

Step-by-step explanation:

[tex]\frac{11}{12}-\frac{1}{12} =\frac{5}{6}[/tex]

Given:

Volume of cubical tank = [tex]\dfrac{1000}{125}[/tex] cubic meters.

To find:

The length of a side of the water tank.

Solution:

The volume of a cubical tank is:

[tex]V=a^3[/tex]

Where, a is the side length.

It is given that the volume of cubical tank is [tex]\dfrac{1000}{125}[/tex] cubic meters. So,

[tex]a^3=\dfrac{1000}{125}[/tex]

[tex]a^3=\dfrac{(10)^3}{5^3}[/tex]

Taking cube root on both sides, we get

[tex]a=\dfrac{10}{5}[/tex]

[tex]a=2[/tex]

Therefore, the length of a side of the water tank is 2 meters.

Answer:

Given:

The fees for a day student are $600 a term.

The fees for a boarding student are $1200 a term.

The school needs at least $720000 a term.

To show:

That the given information can be written as [tex]x + 2y\geq 1200[/tex].​

Solution:

Let x be the number of day students and y be the number of boarding students.

The fees for a day student are [tex]\$600[/tex] a term.

So, the fees for [tex]x[/tex] day students are [tex]\$600x[/tex] a term.

The fees for a boarding student are [tex]\$1200[/tex] a term.

The fees for [tex]y[/tex] boarding student are [tex]\$1200y[/tex] a term.

Total fees for [tex]x[/tex] day students and [tex]y[/tex] boarding student is:

[tex]\text{Total fees}=600x+1200y[/tex]

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.

[tex]600x+1200y\geq 720000[/tex]

[tex]600(x+2y)\geq 720000[/tex]

Divide both sides by 600.

[tex]\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}[/tex]

[tex]x+2y\geq 1200[/tex]

Hence proved.

Answer:

The first choice.

Step-by-step explanation:

3(x + 2) is equal to 3 * x + 3 * 2.

Simplify that, and you would get 3x + 6.

Answer:

A. or 3(x+2) = 3x + 6

Step-by-step explanation:

A. 3(x+2) = 3(x) + 3(2)

               = 3x + 6

Which is correct!.

B. x^2 is nowhere to be found.

C. Doesn't distribute the 3 into the 2 properly.

D.  Doesn't distribute the -3 into the x properly.

Answer:

The answer is A.

How I got it:

Formula of finding a triangle: 1/2 bh.

In this case, the base is R and the Height is X.

1/2rx.

Answer:

c: y=(x-1)(x-3)

Step-by-step explanation:

Given:

[tex]u=(-1,4)[/tex]

[tex]v=(3,-2)[/tex]

The equation is:

[tex]t=u+v[/tex]

To find:

The ordered pair to represent t in the given equation.

Solution:

We have,

[tex]t=u+v[/tex]

Substituting the given values, we get

[tex]t=(-1,4)+(3,-2)[/tex]

[tex]t=((-1)+3,4+(-2))[/tex]

[tex]t=(-1+3,4-2)[/tex]

[tex]t=(2,2)[/tex]

Therefore, the ordered pair to represent t in the given equation is (2,2).

Answer:

No its doesn't satisfy the equation.

[tex]{ \bf{area = 2(l + w)}} \\ { \tt{48 = 2((x + 10) + (x - 3))}} \\ { \tt{24 = 2x + 7}} \\ 2x = 17 \\ x = 8.5 \\ \\ { \bf{in : \: {x}^{2} + 7x - 78 = 0 }} \\ x = 6 \: \: and \: \: - 13[/tex]

Answer:

45 x 56=

2520 and

5 x 7=35*8=280*9=2520

2520=2520

Hope This Helps!!!

Answer:

[tex]23465459544 + 44492711 = 597595855122256.56114163174112113 \leqslant \leqslant \geqslant yhy \times \frac{?}{?}kwwkjuujsjkoodji \beta \pi \beta \cos(2216 {59 \times \tim3.5es - = 6 \\ \\ 53 \times }^{2} ) [/tex]

Answer:

Step-by-step explanation:

Inches per hour is the rate we are looking for here, which will then be the slope of the linear equation. Slope is the same thing as the rate of change. While this may not seem all that important right now, it's actually a HUGE concept in higher math, especially calculus!

If the pool is filling at a rate of 2 inches per every 4 hours, then by dividing, we get that the rate is 1 inch every 2 hours, which translates to a slope of 1/2. Creating an equation with this slope:

[tex]w=\frac{1}{2}t[/tex]  Let's check it. We are told that after 4 hours there are 2 inches of water in the pool. That means if we plug in 4 for t and solve for w, we should get w = 2:

[tex]w=\frac{1}{2}(4)[/tex] and

w = 2. So we're good!

Answer: ∠p and ∠s, ∠q and ∠r

Step-by-step explanation:

From the lines on the angles indicate which ones are corresponding, for example angles p and s both have 2 lines, while angles q and r both have one line.

The sets of angles are corresponding angles are; ∠p and ∠s, ∠q and ∠r

It can be defined as, corresponding means pair wise angles. Like the right corner angles of two triangles etc. But usually we take them as:

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

From the lines on the angles indicate which ones are corresponding, for example angles p and s both have 2 lines, while angles q and r both have one line.

We can conclude the sets of angles that are corresponding angles;

∠p and ∠s, ∠q and ∠r

Learn more about  angles here:

https://brainly.com/question/2882938

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