Use the replacement set {4, 8, 21} to find the solution of the equation
7n - 4 = 24.

Answer:

5/6 = 1/12x

Step-by-step explanation:

x represents the amount of times you can can drive to or from work with the gas in the tank

5/6 = 1/12x

- Multiply both sides of equation by 12

10 = x

Answer:

C. size

Step-by-step explanation:

A dilation does not change the shape of a figure, but it can change the size.

Answer:

coordinates of the orthocenter = (16/5, 16/5)

Step-by-step explanation:

I have drawn a diagram showing this triangle with the vertices. I have also drawn altitude from B perpendicular to AC at point E.

I have also drawn altitude from from A perpendicular to BC at point D.

Now, we will find the slope of AC from the line slope equation; (y - y1) = m(x - x1)

m = (y - y1)/(x - x1)

Our coordinates are; A(0,0), B(8,2), C(2,8).

Thus;

Slope of AC; m = (8 - 0)/(2 - 0)

m = 4

Since BE is perpendicular to AC, slope of BE = -1/slope of AC = -1/4

Thus, equation of BE is;

(y - 2) = -¼(x - 8)

Multiply through by 4 to get;

4y - 8 = -x + 8

x + 4y = 16

Slope of BC is; m = (8 - 2)/(2 - 8) = 6/-6 = -1

AD is perpendicular to BC, thus slope of AD = -1/-1 = 1

Equation of AD is;

(y - 0) = 1(x - 0)

y = x

Putting x for y in equation of BE, we have;

x + 4x = 16

5x = 16

x = 16/5

Since y = x in equation AD, then y = 16/5

coordinates of the orthocenter = (16/5, 16/5)

Answer: (-3, 4)

Step-by-step explanation:

The point at which both lines intersect is (-3, 4)

And since they intersect at ONE point, it just has one solution.

Hope I helped!

Answer:

1464

Step-by-step explanation:

16*22*2=704

10*16*2=320

10*22*2=440

704+320+440 = 1464

*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*

*lilybaker49's work was used - credit goes to her

Answer:

[tex]AB=2\sqrt{ab}[/tex]

Step-by-step explanation:

From figure,

[tex]OA=a, \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)[/tex]

In triangle [tex]OO'D[/tex]

  [tex](OO')^2=(OD)^2+(O' D)^2[/tex]

[tex]\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}][/tex]

Hence, [tex]AB=2\sqrt{ab}[/tex]

Answer:

127 feet

Step-by-step explanation:

I did this already and I got it correct

Answer:

Its either 90 or 100

Step-by-step explanation:

Answer:  I don't know i'm taking a benchmark about that question an that pop up

Step-by-step explanation:

Answer:

Step-by-step explanation:

Therefore, you would multiply 48/1 * 3/8 and that will give you your answer. 48/1 * 3/8 = 144/8, which is 144 divided 8. And that comes out to be 18, so Deshanwn saved $18.

Hope this helps

Answer:

i = 8

Step-by-step explanation:

Answer:

C 5,5, sqrt(50)

Step-by-step explanation:

so basically a^2+b^2=c^2

and 5^2+5^2 = 50 so c is sqrt of 50

Answer:

the answer is all three of them because I just got it right on khan academy

Answer:

£5083

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2.1%/100 = 0.021 per year,

then, solving our equation

I = 4600 × 0.021 × 5 = 483

I = £ 483.00

The simple interest accumulated

on a principal of £ 4,600.00

at a rate of 2.1% per year

for 5 years is £ 483.00.

Answer:

The answer is 5.

Step-by-step explanation:

Well if you were to graph this equation you'll see that the rise over run would be 5/1 which simplifies to 5.

Answer:

40m

Step-by-step explanation:

Radius is half of diameter

Ralph has 25% left of his Gatorade.

3 ÷ 12 = 0.25 -->  25%

Answer: I think its b

Step-by-step explanation:

Answer:

probably somewhere between a 75 or higher depending on if it is a important test and how many questions was on it

Step-by-step explanation:

Answer: slope is 1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Using the equation slope = y2-y1/x2-x1 we can plug in (-4,-6) as x1 and y1 and (6,-1) as x2 and y2. We than have the equation -1+6/6+4 = slope, doing the math we now have 5/10 or 1/2 which is our rate of change

hey! the answer to your question is b because 1.37x12.741 is the answer 17.45517

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The similarity statement tells you that angles W and P have the same measure. The sum of angles in the triangle is 180°, so we have ...

  ∠R +∠W +∠T = 180°

  85° +55° +∠T = 180°

  ∠T = 180° -140°

  ∠T = 40°

Answer: 1. 2 x^3 - 13 x + 15

              2. 2 x^4 - 12 x^3 + 13 x^2 + 15 x

Step-by-step explanation:

Answer:

3x (x+2) (x−9)

(factored)

hope this helps :D

Answer:

second is a answer cos X= x/i

Answer:

Step-by-step explanation:

sin X = x / u

NOT THE PREVIOUS ANSWER

Answer:

47

Step-by-step explanation:

using exterior angle property,

23+5x-1=9x+2

→20=9x-5x

→20=4x→ x=5

angle PRS= 9X +2 = 9*5 +2= 47

Answer:

0.53 A ball

Step-by-step explanation:

you just need to divide the price by the number of balls. ❤HOPE THIS HELPS❤

Answer:

[tex]d = 10[/tex]

Step-by-step explanation:

Distance formula

[tex]d =\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }[/tex]        ------------ (1)

Here

[tex](x_1, y_1) = (6, 2) \ \ \ and \ \ \ (x_2, y_2) = (5, 9)[/tex]

Substituting values in equation (1)

[tex]d =\sqrt{(5-6)^{2} + (9-2)^{2} }[/tex]

[tex]d =\sqrt{(-1)^{2} + (7)^{2} }[/tex]

[tex]d = \sqrt { 50 }[/tex]

[tex]d=7.07[/tex]

the nearest tenth is 10

Answer:

false

Step-by-step explanation:

96/3=32

72/2=36