APQR is an equilateral triangle. One side measures 5x - 7 and another side 3x + 11. Find the length of each
side.

Step-by-step explanation:

Here is the answer...

Hope this helps you

Answer:

The factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor  [tex]\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor [tex]2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x+5[/tex]

[tex]=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Answer:

The company is expected the company will receive

Answer:

[tex] - \bigg(3a - \frac{5}{2} b) \bigg)^{2} [/tex]

Step-by-step explanation:

[tex]15ab-9a^2-6 \frac{1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\ \\ = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2 \\ \\ = - \{ - 15ab + (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 \} \\ \\ = - \{ (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 - 15ab \} \\ \\ = - \bigg(3a - \frac{5}{2} b \bigg)^{2} [/tex]

Answer:

I don't know how you would submit this but I do know it's a transformation. So you would move it across the x-axis 4 or 5 times depending on the shape. So I would maybe just write out each individual number like 3,4,5

Step-by-step explanation:

Answer:

[tex]y=7[/tex]

Step-by-step explanation:

First, let's use the two given points to find the slope. Remember the slope equation:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{7-7}{0-4}[/tex]

[tex]m=\frac{0}{-4}[/tex]

[tex]m=0[/tex]

If we're following slope-intercept form, what we have so far is

[tex]y=0x+b[/tex]

Substitute one of the given points for the [tex]x[/tex] and [tex]y[/tex] values in order to find [tex]b[/tex]:

[tex]7=0(4)+b[/tex]

[tex]7=b[/tex]

Now, if we put that back into our slope-intercept equation we get

[tex]y=0x+7[/tex]

or,

[tex]y=7[/tex]

Right off the bat, we can see how we ended up with this equation because both points have the same y-values. This indicates a horizontal line.

I hope this helps!

Answer:

x = -4

Step-by-step explanation:

4(3x + 2) = 4(2x + 3) + 4x (distribute the 4's on both sides)

12x + 8 = 8x + 12 + 4x (collect like terms)

12x + 8 = 13x + 12 (subtract 12x on both sides)

8 = x + 12 (subtract 12 on both sides)

-4 = x

Hope this helps ya!

Answer:

0

Step-by-step explanation:

A slope of a straight, horizontal line is 0 as it is not going up or down.

Answer:

B) 0

Step-by-step explanation:

When it is a straight horizontal line the slope is 0, and when it is a straight vertical line the slope is undefined.

y= ___ is slope of 0

x= ___ is slope of undefined

Answer:

25%

Step-by-step explanation:

This is like a part over whole problem, where 24 blue pens is the part and 96 pens total is the whole.

24/96 = 0.25 * 100 = 25%

Answer:

Of the 96 pins, 25% of the pins were blue.

Step-by-step explanation:

We are given that Martina ordered 96 pins in total. We are also given that she ordered 24 blue pins.

With this, we can determine how many of the pins were not blue pins by subtracting the amount of blue pins from the number of total pins.

[tex]96 \ \text{total pins} - 24 \ \text{blue pins} = 72 \ \text{orange pins}[/tex]

Now, we can divide the number of blue pins by the number of total pins to determine the fraction of blue pins to total pins.

[tex]\displaystyle \frac{24}{96} = \frac{12}{48} = \frac{6}{24} = \frac{3}{12} = \frac{1}{4}[/tex]

Then, we can convert our fraction to a decimal.

[tex]\displaystyle \frac{1}{4} = 0.25[/tex]

And finally, we can convert our decimal to a percentage by multiplying the determined decimal by 100.

[tex]0.25\times100 = 25\%[/tex]

Therefore, of the 96 pins that Martina ordered, 25% of them were blue.

Answer:

Your answer is: ↓

If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]

If you are trying to figure if that equation is determined T/F: The answer is T.

If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]

Step-by-step explanation:

Hope this helped : )

Answer:

No, every student will have 3.2 minutes

Answer:

Each student has approximately 3 minutes and 12 seconds.

Step-by-step explanation:

You divide the total amount of minutes by the total amount of students. 48/15=3.2

After you get your answer, you convert to minutes. There are 3 minutes and the .2 converts to 12 seconds

Answer: AEC = 80

              X=30

YW ;)

Answer:

y = 10x - 3

Step-by-step explanation:

Answer:

f(x)=10x+-3

f(x)=mx +b

m= slope

b= y intercept

Step-by-step explanation:

Answer:

8/343

so A

Step-by-step explanation:

Answer:

Not a function

Step-by-step explanation:

Answer:

C. 30 is the correct answer.

Step-by-step explanation:

Answer:

There is a strong positive relationship, therefore as x increases, y increases

Step-by-step explanation:

Answer:

slope = 3

Step-by-step explanation:

to find the slope you do (y2-y1)/(x2-x1)=m

so we can plug the points into this formula

(5,7)     (2,-2)

x1 y1    x2 y2

-2-7/2-5=m

-9/-3=m

Simplifies to

3=m

Answer:

3

Step-by-step explanation:

Answer:

I think it’s A,C, and E

Step-by-step explanation:

I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .

Answer:

$12.55

Step-by-step explanation:

25-6.75=18.25

18.25-3.70=14.55

14.55-2=12.55

Miguel has $12.55 left

Answer:

126.8 Hope this helps

Answer:

35

Step-by-step explanation:

5*1+3*10

5+30 = 35

Answer:

b. 36

Step-by-step explanation:

Evaluate x^4 - 4 x^2 + 3 x where x = -3:

x^4 - 4 x^2 + 3 x = (-3)^4 - 4×(-3)^2 - 3×3

Hint: | Evaluate (-3)^2.

(-3)^2 = 9:

(-3)^4 - 49 - 3×3

Hint: | Determine the sign of (-3)^4.

(-3)^4 = (-1)^4×3^4 = 1×3^4:

3^4 - 4×9 - 3×3

Hint: | Compute 3^4 by repeated squaring.

3^4 = (3^2)^2:

(3^2)^2 - 4×9 - 3×3

Hint: | Evaluate 3^2.

3^2 = 9:

9^2 - 4×9 - 3×3

Hint: | Evaluate 9^2.

9^2 = 81:

81 - 4×9 - 3×3

Hint: | Multiply -4 and 9 together.

-4×9 = -36:

81 + -36 - 3×3

Hint: | Multiply 3 and -3 together.

3 (-3) = -9:

81 - 36 + -9

Hint: | Group the negative terms in 81 - 36 - 9 together and factor out the minus sign.

81 - 36 - 9 = 81 - (36 + 9):

81 - (36 + 9)

Hint: | Evaluate 36 + 9 using long addition.

| 1 |  

| 3 | 6

+ | | 9

| 4 | 5:

81 - 45

Hint: | Subtract 45 from 81.

| 7 | 11

| 8 | 1

- | 4 | 5

| 3 | 6:

Answer: 36

Answer:

3=15

4=20

5=25

Step-by-step explanation:

bold are the answers

Answer:

at least

Step-by-step explanation:

A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is AT LEAST as large as the principal times the monthly interest rate.

The correct word that missing in the statement is at least.

Given that, a statment is given we have to determine which word is missing the statment.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.

The monthly payment being at least equal to the principal multiplied by the monthly interest rate is a reasonable estimate for a long-term loan with a moderate or high-interest rate. So the correct statement is given as,
"A fairly good estimate for a long-term loan with a moderate or high-interest rate is that the monthly payment is at least as large as the principal times the monthly interest rate."

Thus, the correct word that missing in the statement is at least.

Learn more about investments here:

https://brainly.com/question/15353704
#SPJ2

Answer:

11 7/15 (Not listed on paper!)

Step-by-step explanation:

6 12 /15  +  4 4 /6  =

(6 + 4) + (  12 /15  +  4/ 6 )

=  10 +  12 × 2

15 × 2

+  

4 × 5

6 × 5

=  10 +  

24 /30

+  

20 /30

=  10 +  

24 + 20 /30

=  10 +  

44 /30

=  10 +  

44 ÷ 2

30 ÷ 2

=  10 +  

22 /15

=  10 +  

1 7 /15

=  

11 7 /15

(Eleven and seven fifteenths)

[Sorry but all of the answers you gave are all wrong!]

Answer:

20

Step-by-step explanation:

3x+14=2(2x-3)

3x+14=4x-6

3x-4x=-6-14

-x=-20

X=20

So the valueof X is 20