The perimeter of the rectangle below is 64 units. Find the length of side CD.

Write your answer without variables.

Answer:

A

Step-by-step explanation:

9514 1404 393

Answer:

  14

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

__

(7^?)(7^5)^4 = 7^34

(7^?)(7^20) = 7^34 . . . . simplify power of power

7^(?+20) = 7^34 . . . . . . simplify product

? +20 = 34 . . . . . . . . . .  equate exponents of the same base

? = 14

Answer: 14

Step-by-step explanation:

Answer:

The original length of each side of the equilateral triangle = x =15 inches

Step-by-step explanation:

Let Original length of side of equilateral triangle = x

If it is increased by 5 inches, the length will become = x+5

Since in equilateral triangle all the ides have same length so,

New Length of side 1 = x+5

New of side 2 = x+5

New Length of side 3 = x+5

Perimeter of triangle = 60 inches

We need to find the value of x

The formula used is: [tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3[/tex]

Putting values in formula and finding x

[tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15[/tex]

So, the original length of each side of the equilateral triangle = x =15 inches

Answer:

60 dogs

Step-by-step explanation:

40/8 = 5 dogs per hour

12 x 5 = 60 dogs in 12 hours

Answer:

It is ten times the value of the seven in 7.835

Step-by-step explanation:

7.825 x 1/10 = .7825

3.7 x 10 = 37

The seven shifted to the right in place value.

I hope this helps.

Answer:

10 times

Step-by-step explanation:

7 divided 0.7=10

Answer:

The slope is 1/4.

Step-by-step explanation:

m = y2-y1 / x2-x1

Hope this helps. Pls give brainliest.

Answer:

The slop is 1/4

Step-by-step explanation:

m = y2-y1 / x2-x1

Answer:

y = 1/49x

Step-by-step explanation:

perpendicular lines have slopes that are opposite reciprocals. the y intercept is the second number in the point given (x,y). so the y intercept is 0

Answer:

b

Step-by-step explanation:

The percentage increase in the value of the house each of the three years is 11.49%.

The equation that can be used to represent the percentage change in the value of the house is:

(100x - 10%) + 3x% = 55.52%

90% + 3x = 55.52%

90% - 55.52% = 3x

34,48% = 3x

x = 34.48/3

x = 11.49%

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

Answer:

44

Step-by-step explanation:

90 - 43 = 47

x + 3 = 47

x = 47 - 3

  = 44

I think the answer is 44. Pls check and correct me if I'm wrong.

Answer: Yes, Mean Value Theorem for Integrals applies for the function [tex]f(x)=3-x^{2}[/tex] and values of x are 1 and -1

Step-by-step explanation: Mean Value Theorem for Integrals states that if a function is continuous on a closed interval, there is a value c on the interval such that

[tex]f(c)=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx[/tex]

where a and b are the closed interval given

As the graph of [tex]f(x)=3-x^{2}[/tex] shown below, the function is continuous on the interval [0,[tex]\sqrt{3}[/tex]], so the theorem applies.

To find the x-coordinates, first determine value of f(c) at [0,[tex]\sqrt{3}[/tex]]:

[tex]f(c)=\frac{1}{\sqrt{3} -0} \int\limits {3-\sqrt{x^{2}} } \, dx[/tex]

[tex]f(c)=\frac{1}{\sqrt{3}}[3x-\frac{x^{3}}{3} ][/tex]

[tex]f(c)=\frac{1}{\sqrt{3}}[ 3\sqrt{3}-\frac{(\sqrt{3})^{3}}{3} ][/tex]

[tex]f(c)=\frac{1}{\sqrt{3} } [2\sqrt{3} ][/tex]

f(c) = 2

The x-coordinates will be:

[tex]f(x)=3-x^{2}[/tex]

[tex]2=3-x^{2}[/tex]

[tex]x^{2}=1[/tex]

[tex]x=\sqrt{1}[/tex]

x = ±1

The values for x guaranteed by the Mean Value Theorem are +1 and -1.

Answer:

56

Step-by-step explanation:

(14-7) x (40-32) = 7 x 8

                         = 56

Hope you understood :)

Answer:

The second one, I believe.

Step-by-step explanation:

Answer:

The answer

Step-by-step explanation:

Explanation

Answer:

D-87,100,000

Step-by-step explanation:

Move the decimal point from its position to the right 7 times because of the 7 indicated as the power.

Please mark as brainliest

Answer:

its 3/2

Step-by-step explanation:

6(3n-3)=9

18n -18=9

     +18   +18

18n=27

------ ------

18     18

27/18=3/2

n=3/2

Answer:

-3/5

Step-by-step explanation:

always remember rise by run. subtract the second y value from the first (9 minus 6) and the same with the x values (1-6). rise is y axis and run is x axis. therefore, you get 3/-5 or -3/5. (because 9-6 is 3 for the numerator and 1-6 is -5 for the denominator)

Answer:

They would have about $2500 after one year

Step-by-step explanation:

Answer: 7 I think its adding but if its multiplying it is 12

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

Hope this helps

Answer:

y=-3/4

i think

Answer:

start at 0 and go up 3 and put a point  (your x)

start at 0 and also go up 5 and put a point  (your y)

draw  LINE HORIZONALY ACROSS THE  (LEFT TO RIGHT ) on each line

you should have two horizonal lines parallel

Step-by-step explanation:

Answer:

2:1

Step-by-step explanation:

I took the test

Answer:

I would say 2:1 too because for the grape, 2 is the first number which is alligned with 1 on lemon-lime

hope this helps!

Step-by-step explanation:

Answer:

If the "-" after "3y" is a typo, then y = 8/7, x = 24/7

Step-by-step explanation:

=====================================================

Explanation:

x is some positive number such that the earnings of Paul, Collin, and Brian are 2x, 3x and 4x in that order

The ratio 2x:3x:4x reduces to 2:3:4 when we divide all parts by x

The total amount of tips was 77.40 pounds

This means,

(Paul's Share)+(Collin's Share)+(Brian's Share) = Total Tips

(2x)+(3x)+(4x) = 77.40

9x = 77.40

x = 77.40/9

x = 8.6

Use that x value to find each of their share of tips

As a check, note how 17.20+25.80+34.40 = 77.40

The last step is to subtract the values for Brian and Paul

34.40 - 17.20 = 17.20

Brian earned £17.20 more in tips compared to Paul.

Answer:

w=9

Step-by-step explanation:

Answer:

18 months

Step-by-step explanation:

35,000÷18=1944

First, we need to figure out the amounts of months that Gerald has total, with all of the money.  So, we divide 35000 by 1400, this leaves us with 25.  So, if he keeps spending 1400 per month, it will last him 25 months, but this is not what the question asks, is it?  In 25 months, his inheritance will be fully depleted, in 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left (35000 - (24 * 1400))and in 23 months, he will have spent 32,200 dollars, meaning that he will have 2800 dollars.  

"In 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left 35000 - (24 * 1400)"

35000 - (24 * 1400)

24 months

Answer:

Step-by-step explanation:

Parabola f(x) = ax² + bx + c passing through point (x₁, y₁) means if x=x₁ then f(x)=f(x₁)=y₁

(0, 3) ⇒  3=a·0²+b·0+c    ⇒   c=3

f(x) = ax² + bx + 3

(4, -5)  ⇒  -5 = a·4² + b·4 + 3  

               -5 =  16a + 4b + 3

              -4b = 16a + 8

               b = - 4a - 2

(-1, 10)  ⇒  10 = a·(-1)² + b·(-1) + 3

                10 = a - b + 3

                 b = a - 7

a - 7 = - 4a - 2

5a = 5

a = 1

b = 1 - 7 = - 6

So the equation:

                         f(x) = x² - 6x + 3

Answer:

-3/4

Step-by-step explanation:

6x+8y=16

(subtract 6x from both sides)

8y=-6x+16

(divide everything by 8)

y=-6/8x+16

(simplify)

y= -3/4x+16

this is now in y=mx+b form. m=slope

[tex] \frac{ - 3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)[/tex]

[tex] \frac{ - 3}{4} x + \frac{9}{4} - 5 = \frac{1}{8} x - \frac{1}{8} [/tex]

[tex] \frac{ - 3}{4} x - \frac{1}{8} x = - \frac{1}{8} - \frac{9}{4} + 5[/tex]

[tex] \frac{ - 6x}{8} - \frac{x}{8} = \frac{ - 1}{8} - \frac{18}{8} + \frac{40}{8} [/tex]

[tex] \frac{ - 6x - x}{8} = \frac{ - 1 - 18 + 40}{8} [/tex]

[tex] \frac{ - 7x}{8} = \frac{21}{8} [/tex]

[tex] - 7x = 21[/tex]

[tex]x = \frac{21}{ - 7} [/tex]

[tex]x = - 3[/tex]