If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of D' be?

Answer:

Step-by-step explanation:

The segment addition theorem tells you ...

  CD +DE = CE

  x^2 +12x = 32 -2x

Subtract the right side to put this in standard form.

  x^2 +14x -32 = 0

  (x +16)(x -2) = 0

  x = -16 or 2

In order for DE to have a positive length, we must have x > 0. So ...

  CD = x^2 = 2^2 = 4

  DE = 12x = 12(2) = 24

  CE = 32 -2x = 32 -2(2) = 28

Answer:

129.1 square units

Step-by-step explanation:

First, let's find the area of the rectangle. We can use the formula below.

[tex]a=lw[/tex]

where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

The length of the rectangle is 13 and the width is 8.

[tex]l=13\\w=8[/tex]

Substitute the values into the formula.

[tex]a=13*8[/tex]

[tex]a=104[/tex]

Next, let's find the area of the semicircle. We can use the formula below.

[tex]a=\frac{1}{2} *\pi r^2[/tex]

First, find the radius. The radius is half of the diameter, and the diameter is 8.

⇒ r= d/2

⇒ r= 8/2

⇒ r= 4

[tex]a=\frac{1}{2} *\pi (4)^2[/tex]

Evaluate the exponent.

⇒ 4² = 4*4 = 16

[tex]a=\frac{1}{2} *\pi *16[/tex]

Multiply pi and 16.

[tex]a=\frac{1}{2} *50.2654825[/tex]

Multiply.

[tex]a=25.1327412[/tex]

Finally, find the area of the figure.

Add the area of the rectangle (104) and the area of the semicircle (25.1327412)

[tex]104+25.1327412[/tex]

[tex]129.132741[/tex]

Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 1 in the tenth place.

[tex]129.1[/tex]

The area of the figure is about 129.1 (square units).

Answer:

true : 9-2=7 false:3+2=6

Step-by-step explanation:

the first equation is false because if you take 6 and minus 3 you get three not two, But with the other equation its diffrent you take 7 and add it to two you get nine.

Answer:

Jason's camp counselor job pays a higher rate than Mia's lifeguard job.

Jason's job pays $9 a hour.

Mia's job pays $8.75 a hour.

52.50 divided by 6 equals 8.75

70.00 divided by 8 equals 8.75

43.75 divided by 5 equals 8.75

Step-by-step explanation:

Answer:

C. Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.

Step-by-step explanation:

I took the quiz

Answer:

[tex]\large\boxed{\text{The expression is equal to 104}}[/tex]

Step-by-step explanation:

[tex]24+10 \cdot 8 \\24+80\\104[/tex]

Answer:

[tex]4 .68702\times 10^{ 3} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Step-by-step explanation:

2x² + 5x + 2=0  (roots or zeros)

(2x+1)(x+2)=0

2x+1=0 ⇒ x=-1/2 or -0.5

x+2=0 ⇒ x=-2

x² - 4x + 3=0

(x-3)(x-1)=0

x-3=0 ⇒ x=3

x-1=0 ⇒ x=1

Step-by-step explanation:

1/6×100%=50/3%

3/24×100%=25/4%

3/8×100%=75/2%

=>50/3%+25/4%+75/2%+x=100%

=>100%-725/12%=x

=>x=59 and 5/12

Answer:

B. Wyatt drove 25 miles East and then 25 miles in the opposite direction

Step-by-step explanation:

This is because he drove East but then drove the same distance back, so he is basically cancelling out the distance he already traveled. Therefore, the traveled 0 feet from the starting point.

Answer:

B. Wyatt drove 25 miles east and then 25 in the opposite direction

Step-by-step explanation:

if you drive x amount of miles in one direction and then the oposite you return where you statred.

Answer:

The equation of the line is,

[tex]y = - \frac{2}{5} x - 1[/tex]

Step-by-step explanation:

First, you have to write it in a form of y = mx + b :

[tex]2x + 5y = 15[/tex]

[tex]5y = 15 - 2x[/tex]

[tex]y = 3 - \frac{2}{5} x[/tex]

[tex]y = - \frac{2}{3} x + 5[/tex]

When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :

[tex]y = - \frac{ 2}{5}x + b [/tex]

[tex]let \: x = - 10,y = 3[/tex]

[tex]3 = - \frac{2}{5} ( - 10) + b[/tex]

[tex]3 = 4 + b[/tex]

[tex]3 - 4 = b[/tex]

[tex]b = - 1[/tex]

Answer:

the equation of a parallel line is : y=-2/5 x -1

Step-by-step explanation:

2x+5y=15

put the equation in the form of y=mx+b

2x+5y=15

5y=15-2x

y=15/5-2/5 x

y=-2/5 x+3

parallel lines has the same slope : m=-2/5

passes through point (-10,3) find b

y=-2/5 x +b

3=-2/5(-10)+b

3=20/5 +b

3=4+b

b=3-4

b=-1

the equation of a parallel line is : y=-2/5 x -1

The answer here will be [tex]A[/tex].

Answer:

The is answer is A

Step-by-step explanation:

It is A because when you look at the graph it is past ten and it is more than or equal to 75%

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

yes

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

[tex]\sqrt{65}[/tex]

Step-by-step explanation:

The magnitude of a vector < x, y > is calculated as

| < x, y > | = [tex]\sqrt{x^2+y^2}[/tex]

Thus

j + k = < - 2, 1 > + < - 5, 3 > = < - 2 - 5, 1 + 3 > = < - 7, 4 >

Then

| < - 7, 4 > | = [tex]\sqrt{(-7)^2+4^2}[/tex] = [tex]\sqrt{49+16}[/tex] = [tex]\sqrt{65}[/tex]

Answer:

C is the answer

Step-by-step explanation:

Answer:

Its the third bubble

Step-by-step explanation:

Hope I helped you.

Answer:

14.8%

Step-by-step explanation:

The formula for market share = Total sales of the company at a particular period/ Total sales of the market × 100%

Total sales of the company = Breyer's sales = $650,417,792

Total sales of the market = Total sales in the ice cream category market = $4.4 billion

= $650,417,792/ $4,400,000,000, × 100

= 14.782222545%

Therefore, approximately to the nearest tenth, Breyer's market share is 14.8 %

Answer:

B

Step-by-step explanation:

a-3>-7

collect like terms

a>-3-7

a>-10

Answer:

3^4

Step-by-step explanation:

One of the laws of exponents is that when you are multiplying exponents with the same base, then you add their powers. So,

3^5 x 3^3 = 3^8

Another law is when dividing exponents with the same base, you can subtract the powers. So,

3^8/3^4 = 3^4

Hope this helps!

Answer:

division

Step-by-step explanation:

-6x/-6 = -24/-6

x = 4

Answer:

sorry

which of the following numbers are irrational☺

Answer:

First, use the table above to start putting the answers into your memory. Then use the Math Trainer - Multiplication to train your memory, it is specially designed to help you memorize the tables. Use it a few times a day for about 5 minutes each, and you will learn your tables.

Answer:

Well I learned the tables when I was 5 or 6 years old.

Step-by-step explanation:

My mum checked me regularly.

I remember that green sheet with numbers...

Train your memory and tell your brain that you CAN do it...

The main thing is, don't give up!

Answer:

A. [tex]4x[/tex]

B. [tex]16x[/tex]

C. [tex]16x+20[/tex]

Step-by-step explanation:

A square's area will be the length of each side squared (that's why it's called squared).

Since we know the area, we can find the square root of [tex]16x^2[/tex] to find the length of each side.

We know that [tex]4^2 = 16[/tex] and [tex]x^2 = x^2[/tex], so [tex]4x\cdot 4x[/tex] should be equal to [tex]16x^2[/tex].

This means the side length is [tex]4x[/tex].

The perimeter of a square will be 4 times it's side length. We know the side length, so the perimeter is [tex]4x \cdot 4 = 16x[/tex].

If we added 5 to the length of each side, the new side length would be [tex]4x + 5[/tex]. Again, the perimeter is 4 times the side length so the perimeter would be [tex]4(4x + 5) = 16x + 20[/tex].

Hope this helped!

Answer:

C.  pi radians

Step-by-step explanation:

got it right on edge :)

Answer:

letter c

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Since f(x)=10 is equivalent to f(x)=2x-4, make these equations equivalent. Add 4 to both sides, and simplify to get 2x=14. Divide both sides by 2 to get 7 as your answer.

Answer:

x = 7

Step-by-step explanation:

Given

f(x) = 2x - 4 and f(x) = 10, then equating gives

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Answer:

10

Step-by-step explanation:

Calculate the length using the distance formula

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

with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (5, 2)

d = [tex]\sqrt{(5+3)^2+(2+4)^2}[/tex]

   = [tex]\sqrt{8^2+6^2}[/tex]

   = [tex]\sqrt{64+36}[/tex]

   = [tex]\sqrt{100}[/tex] = 10

Answer:

24

Step-by-step explanation:

4/9=x/54

4/9*54=x

x=4*6

x=24

Answer:

Yep its 24

Step-by-step explanation: