Solve each system by elimination.
1) 6x - y=-14
-2x + y = 6

Answer:

1. The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

2. The distance between the points (-3,8) and (-4, -2) is 10.04

Step-by-step explanation:

1. Which of the following is the correct form of the distance formula?

The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

2. Use the distance formula to find the distance between the points (-3.8) and (-4. -?)

Note: Since the y-term in (-4,-) is missing So, I am using -2 to solve the question and find distance. You can use the term given in question and replace it with -2 and use this solution as reference to solve and find the correct answer.

We have points (-3,8) and (-4,-2)

Putting values in distance formula and finding result:

[tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have x_1=-3, y_1=8, x_2=-4, y_2=-2

[tex]Distance=\sqrt{(-2-(-3))^2+(-2-8)^2}\\Distance=\sqrt{(-2+3)^2+(-2-8)^2}\\Distance=\sqrt{(1)^2+(-10)^2}\\Distance=\sqrt{1+100}\\Distance=\sqrt{101}\\Distance=10.04[/tex]

So, the distance between the points (-3,8) and (-4, -2) is 10.04

Answer:

87

Step-by-step explanation:

Range= biggest value-smallest value

R=100-13

R=87

Answer:

87

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

A. x=20

Step-by-step explanation:

Answer in fraction form: x = 55/4

Answer in decimal form: x = 13.75

Both forms are equivalent, but they say it in a slightly different way.

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Work Shown:

AC/QY = CD/YW

(x+5)/15 = 5/4

4(x+5) = 15*5

4x+20 = 75

4x = 75-20

4x = 55

x = 55/4

x = 13.75

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Explanations:

Answer:

6x - 9

3(2x−3)

2a(5b+3)

Step-by-step explanation:

Factor 6a+10ab

10ab+6a

Factor 6x−9

6x−9

=3(2x−3)

                             :))

Answer:

I think the answer is this3(2x-3)

Final Answer: [tex]f = \frac{ax}{2} + \frac{3b}{2}[/tex]

Steps/Reasons/Explanation:

We will be trying to rewrite the equation. To do this we will move [tex]2f[/tex] to the left. Then, we will move [tex]ax + 3b[/tex] to the right.

Question: Solve for [tex]f[/tex]: [tex]ax + 3b = 2f[/tex].

Step 1: Rewrite the equation.

[tex]2f = ax + 3b[/tex]

Step 2: Divide each term by [tex]2[/tex] and simplify.

[tex]\frac{2f}{2} = \frac{ax}{2} + \frac{3b}{2}[/tex]

Step 3: Cancel out the common factor of [tex]2[/tex].

[tex]\frac{Cancel 2 f}{Cancel 2} = \frac{ax}{2} + \frac{3b}{2}[/tex]

Step 4: Divide [tex]f[/tex] by [tex]1[/tex].

[tex]f = \frac{ax}{2} + \frac{3b}{2}[/tex]

~I hope I helped you :)~

Answer:

849

Step-by-step explanation:

1556

Answer:

1.696  × [tex]10^{2}[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10

.

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

35/131

Step-by-step explanation:

Since 35 out of 131 students are freshmen, the fraction would be:

35/131

I hope this helps! :)

The fraction of the students are freshmen will be 35 / 131.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

There are 131 students at a small school, and 35 of them are freshmen.

Then the fraction of the students are freshmen will be

⇒ 35 / 131

More about the fraction number link is given below.

https://brainly.com/question/78672

#SPJ2

Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.

Step-by-step explanation:

Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.

With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.

Answer:

do 3.14 x 6

Step-by-step explanation:

Answer:

37.69911

Step-by-step explanation:

"the internet does not lie"-- home

Answer:

1410

Step-by-step explanation:

they said they would spend 3000 more than last year. it said this years budget is 4410.

Answer:

a) 900

b) 9,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. a=100. an=999

an=a+n-1.d

Therefore answer will be 900.

B. 9000.

Answer:

20

Step-by-step explanation:

Because 5(4) is the same thing s 5*4, so it is 20.

Hope it helps!

Answer:

20

Step-by-step explanation:

Z=4

If a letter is next to a number it means to multiple

So since z=4, replace 5z with 5(4) and you get 20

Answer:

Hi! The correct answer is y = 5

Step-by-step explanation:

~Solve for the first variable in one of the equations, then substitute the result into the other equation~

Answer:

B

Step-by-step explanation:

i did the same test

Answer:

Its XYW is half of LXYZ

Step-by-step explanation:

.

Answer:

this is the required solution

Answer:

y=6/5+6

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Look at it this way; 1/5th of a pizza. Five parts of a pizza, you only have one. But 4/5? You have four slices of the pizza! Much more! Yum.

Answer:

1/5<4/5

Step-by-step explanation:

Answer:

The value of x is -16.

Step-by-step explanation:

☆Let's solve!

[tex] \: \: \: \: \: \: \: \: \: \: \frac{2}{3} x + 1 = \frac{1}{6} x - 7 \\ \frac{ - \frac{1}{6}x \: \: \: \: \: \: \: \: \: = - \frac{1}6{x} }{ \frac{1}{2}x + 1 = - 7} \\ \: \: \: \: \: \frac{ - 1 = - 1}{ \frac{ \frac{1}{2} x}{ \frac{1}{2} } = \frac{ - 8}{ \frac{1}{2} } } \\ x = - 16[/tex]

Answer:

<

Step-by-step explanation:

Answer:

The answer is $44.80

Step-by-step explanation: First, you need to find the how much 40% of $32 is:

32 x .40 = 12.80

Then, you add 12.80 to $32.

$32 + $12.80 = $44.80

Answer: 44.8$

Step-by-step explanation:

What you have to do is find 40% of 32. (it is 12.8) add 12.8 to 32. You get 44.8

Answer:

$5.60

Step-by-step explanation:

So each pound equals to $1.75 which means that we need to multiply by 3.2 because we're trying to find the number of money we'll spend on a certain amount of coffee. So if we multiply, we get 5.6. Though in context with the problem, it should be $5.60.

Answer:

When f(n) = 12, what is the value of n? Answer: n=5

Step-by-step explanation:

Answer:

There are 72 crayons in the box

Step-by-step explanation:

Fractions

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

[tex]1-\frac{4}{9}=\frac{5}{9}[/tex]

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

[tex]\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}[/tex]

Thus, the portion of yellow crayons is:

[tex]\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}[/tex]

This fraction of x crayons is equal to 14, thus:

[tex]\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}[/tex]

x = 72

There are 72 crayons in the box

Answer:

Step-by-step explanation:

Given formula:

Solving for n:

[tex]S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = \frac{(S+ 360)}{180} [/tex]

where, n =number of sides of polygon

S =sum of the degree measures of the interior angles of the polygon