A rectangle has a length of 2 + 7 and a width of 3a + 8.
Write and simplity an expression for the perimeter of that rectangle

Answer:

see below

Step-by-step explanation:

log 4 (15)

We need to change the base from 4 to 2

log b (a) = log x(a) / log x(b)  where x is the base that we need

log4 (15) = log 2 (15) / log 2 (4)

Answer:

The distributive property is one of the most frequently used properties in math. The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

distributive property is multiplying a number by a sum is the same as doing each multiplication separately.

for example: 2 (4 + 3 )

              2 x 4 = 8

              2 x 3=6

             8+6=14

Answer:

480 is right answer of the question

Answer:

Letter A

Step-by-step explanation:

The domain is the input or the x-value

The range is the output or the y-value

Hope this helps

Answer:

D is the answer to your question

Answer:

im pretty sure its 152, im sorry if im wrong, i took 180 and subtracted 180 - 16 - 12 and got that soooo

Step-by-step explanation:

Answer:

1. 1) 1

2. 4) (-4,8)

3. 2) (2,-8)

4. (6, -4)

5. (4, 12)

6. (-8, 6)

7. (6, -4)

8. 2) (12,0)

9. 2) similar but not congruent.

10. (12, 24)

Step-by-step explanation:

An isometry preserves the orientation of a shape. In other words, nothing will change.

In dilations, a scale factor is how many times the preimage will be increased by. In other words, this is what you multiply the x and y-coordinates by.

For example, in question 4, the image has a dilation of 2.

[tex]3*2=6.[/tex]

[tex]-2*2=-4.[/tex]

(3, -2) ⇒ (6, -4).

Answer:

24

Step-by-step explanation:

4 * 3 * 2 * 1 = 24

Answer:

Step-by-step explanation:

Let the 2 numbers be x and y

From the problem we have that

x * y = 600 and x + y = 59

From x + y = 59 -> x = 59 - y

Plug x = 59 - y to x * y = 600 we have

(59 - y) * y = 600

-> 59y - y^2 = 600

-> -y^2 + 59y - 600 = 0

-> y = [tex](59 - \sqrt{1081})/2[/tex] or [tex](59 + \sqrt{1081})/2[/tex]

Then we could plug the answers in and find x because x = 59 - y

9514 1404 393

Answer:

  (a)  No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

Build times are 4 hours for a child's bike and 6 hours for an adult's bike. The number of build hours cannot exceed 120. This gives the first inequality:

  4c +6a ≤ 120

Test times are 4 hours each. The number of test hours cannot exceed 100. This gives the second inequality:

  4c +4a ≤ 100

This pair of inequalities matches choices A and C.

When we use c=20 and a=6, these become ...

  4(20) +6(6) = 116 ≤ 120 . . . true

  4(20) +4(6) = 104 ≤ 100 . . . false

The order cannot be built because the test time constraint cannot be met. This matches choice A.

Answer:

Remember that tan=y/x from your notes from module 4.

Step-by-step explanation:

Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.

For all the problems in this section you can set up an equation where tan=y/x, sin = y/h, and cos=x/h. Then using your equation you can solve for whatever number is missing.

Answer:

-1/1

Step-by-step explanation:

3.

√250 = √(25 * 10) = √(5^2 * 10) = √(5^2) * √10

… = 5 √10

=>   a = 5

4.

√(-300) = √(-1 * 3 * 100) = √(-1 * 3 * 10^2) = √(-1) * √3 * √(10^2) = i * √3 * 10

… = 10i √3

=>   -a = 10 and b = 3   =>   a = -10 and b = 3

=>   a - b = -10 - 3 = -13

Answer: 21380.573997076

Step-by-step explanation:

Answer:

3/26 is the answer........

Answer:

7

Step-by-step explanation:

It’s a right angle, so you can add the two expressions togther to get 90, then isolate x.

(8r-6)+(5r+5)=90

13r-1=90 (combine like terms)

13r-1+1=90+1 (add 1, addition property of equality)

13r=91

13r/13=91/13

r=7

Answer:

380.1

Step-by-step explanation:

Area = 22/7 × 11 × 11 =380.3

Answer:

5 sqrt(2) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin 45 = x / 10

10 sin 45 = x

10 ( sqrt(2)/2) =x

5 sqrt(2) =x

Answer:

21 hours

Step-by-step explanation:

We can use a ratio to solve

7 houses       30 houses

-------------  = --------------

5 hours         x hours

Using cross products

7x = 5*30

7x = 150

Divide by 7

7x/7 =150/7

x =21.42857143

Rounding to the nearest whole number

x = 21 hours

Answer: XY ≅ WZ

Hope this helps...

Have a great day!

Answer: Shape 3 and Shape 2

Hope this helps...

Have a great day.

Answer:

0.1%

Step-by-step explanation:

Given that 240 g of 2.5 kg

We have to express this in percentage

But we know that 1 kg = 1000 g, So first convert 2.5 kg to g

2.5 kg = 2.5 x 1000 g = 2500 g

The formula of "a" % of "b" is given as:

[tex]percentage= \frac{a}{b}[/tex] × 100

Hence, 240 g as a percentage of 2500 g is given as:

[tex]= \frac{250}{2500}[/tex] × [tex]100[/tex]

= [tex]\frac{1}{10}[/tex] = 0.1

Thus, the answer is 0.1 %

Answer:

a = 153.5 yd²

Step-by-step explanation:

horizontally divide the figure into a tringle and a trapezoid

triangle

a = (1/2)bh

a = (1/2)(19)(7)

a  = 66.5

trapezoid

a = (b₁ + b₂)/2 * h

a = (19 + 10)/2 * (13 - 7)

a = 87

Combined

a = 66.5 + 87

a = 153.5

Answer:

French philosopher and mathematician; developed dualistic theory of mind and matter; introduced the use of coordinates to locate a point in two or three dimensions (1596-1650)

Answer: A, which is y = 1/2

Step-by-step explanation: To find the value of y, you would need to divide both of the sides by 8. This makes it so that 8y turns into just y. After you do this, you would find an answer of y = 1/2. Hope this was helpful! :)

Answer:

y = 1/2

Step-by-step explanation:

8y = 4

Divide each side by 8

8y/8 = 4/8

y = 1/2

Answer:

watts

Step-by-step explanation:

Answers:

Answer:

0.11

Step-by-step explanation:

Write down the percent divided by 100 like this:percent 100

Then if the percent is not a whole number then multiply both top and bottom by 10 for ever

Answer:

she scored 76 percent in the test

Answer:

Step-by-step explanation:

Solve by substitution:

Answer: -1

Step-by-step explanation:

Just took the test

,and the equation is y=-1x+5, so the change of x is -1

Answer:

The answer is -1

Step-by-step explanation: