A rectangle has sides measuring (2x + 5) units and (3x + 12) units.
Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit. (6 points)
Part B: What is the degree of your answer from part A? What is the classification of your answer obtained in Part A ( monomial, binomial, trinomial, polynomial)? (4 points)

Answer:

x = 98

Step-by-step explanation:

If angle D is the center then

x + 4 = 2 × (x - 47)

x + 4 = 2x - 94

4 + 94 = 2x - x

98 = x

Answer:

D

Step-by-step explanation:

A function is any line that does not repeat in x-value (doesn't repeat on the x-axis).

Answer:

Steps to find LCM

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Find the prime factorization of 225

225 = 3 × 3 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 5 × 5

LCM = 450

HCF of 150 and 225 by Prime Factorization

HCF of 150 and 225 by Listing the Common Factors

Method 1: Find HCF of 150 and 225 by Prime Factorization

Represent 8 and 14 as a product of its prime factors.

Prime factorization of 150 is 2 × 3 × 5 × 5

Prime factorization of 225 is 3 × 3 × 5 × 5

The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 150 and 225 is 3 × 5 × 5 = 75

Method 2: Find HCF of 150 and 225 by Listing the Common Factors

The factors of 150 and 225 are shown below.

Step-by-step explanation:

Hope it is helpful.....

Answer:

90 feet

Step-by-step explanation:

Answer:

The excluded value is x = 5/6

Step-by-step explanation:

Here, we want to calculate the excluded value

The excluded value is simply the value of x that will make the denominator of the fraction equals zero

We have this as;

6x -5 = 0

6x = 5

x = 5/6

Answer: 9 kilograms

Step-by-step explanation:

9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.

Answer:

Step-by-step explanation:

(2,4) is point lying on the line represented by 5x + 2y  = 18.

They are not intercepts.

x-intercept is point where the line crosses the x-axis and so, y-co ordinate at x-intercept is 0.

y-intercept is point where the line crosses they-axis and so,x-co ordinate at y-intercept is 0.

5x + 2y = 18

To find x-intercept, put y = 0 in the equation

           5x = 18

             x = 18/5

             x = 3.6

To find y-intercept, put x = 0 in the equation

          2y = 18

             y = 18/2

             y = 9

x-intercept : (3.6 , 0)

y-intercept :(0, 9)

Answer:

7.5

Step-by-step explanation:

Divide 3 by 2/5

3 divided by 2/5 = 7.5

Answer:

7.5

Step-by-step explanation:

when you do 2/5 it = 0.4 then you do 3/0.4 and you get 7.5

Answer:

60 miles

Step-by-step explanation:

1 hour=60 miles

1 hour=60 miles

Answer:

mixed number form 1 1/9

decimal form 1.11111111111111 it goes on forever

percent form 111.111111111111% it goes on forever (again)

Step-by-step explanation:

i hope that helps!

Answer:

1  1/9

Step-by-step explanation:

10/9, you get 1 as the whole number.

You have a 1 left over when dividing 10 and 9. the 1 will be over 9.

Giving you 1 as the whole number and 1/9 next to it.

(-5,0)

Step-by-step explanation:

Numbers that lie on the x and y axis

Answer:

y = -x + 2, B is the answer

Step-by-step explanation:

If slope is -1, the equation is y = -x+b

Plug in (3,-1) into that equation.

-1 = -3 + b

b = 2

Answer:

slope is 2

y-intercept is 3

equation y=2x+3

Step-by-step explanation:

Answer:

slope=4/2 or 2

y-intercept=3

equation=y=2x+3

the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3

Answer:

y = 36

Step-by-step explanation:

[tex]\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36[/tex]

Answer:

The amount is 5,955.08

Step-by-step explanation:

Here, we want to calculate compound interest

We can find this by using the compound interest formula

A = P( 1 + r/n)^nt

A is amount

P

is the principal = 5,000

r is the interest rate = 6% = 6/100 = 0.06

n is the number of times per year in which the interest is compounded = 1

t is the number of years = 3

Substituting these values;

A = 5,000(1 + 0.06/1)^3(1)

A = 5000(1.06)^3

A = 5,955.08

Answer:

(-2,-3)

Step-by-step explanation:

A=(8,-5)

M=(3,-4)

The difference between them is that m is 5 to the left and 1 up. We need to do the same thing to find B.

B=(-2,-3)

Answer:

i was proud of myself when I finally figured out a difficult math problem. I didn't even ask for help. it was a hard time for me but I eventually came through.

Answer:

2.4 cm

Step-by-step explanation:

We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.

Let's find the midpoint of AB.

Next let's find the midpoint of BC.

In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.

Therefore, the difference between the midpoints of AB and BC is 2.4 cm.

Answer:

2.85 ft²

Step-by-step explanation:

1.9 x 1.5

Answer:

Step-by-step explanation:

Use the identity: a² - b² = (a + b)(a- b)

4 - 9w² = 2² - (3w²)

            = (2 + 3w)(2 - 3w)

Answer:

7/10

Step-by-step explana

7/10 was the answer

Answer:

7/10

Step-by-step explanation:

Answer:

D. 157.5

Step-by-step explanation:

Formual for sum of interior angles

(n-2)*180

so 14*180=2520

but that is the sum

divide that by 16 (2520/16) = 157.5

Answer:

13.8 ounces of salt

Step-by-step explanation:

A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?

Step 1

Note that:

1 shaker = 0.6 ounces of salt

8 shakers = x

Cross Multiply

x = 8 × 0.6 ounces of salt

x = 4.8 ounces of salt

Step 2

The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?

This is calculated as:

18.6 ounces of salt - 4.8 ounces of salt

= 13.8 ounces of salt

Answer:

the first one should be (0,-5)

the second should be (-2,1)

Step-by-step explanation:

You substitute the given value of y into your equation. 6x-y=5

6x-(-6x-5)=5

x=0

y=-6 * 0-5

y=-5

(x,y)=(0,-5)

AND

7x-6(4x+9)=-20

x=-2

y=4x(-2)+9

y=1

(-2,1)

hope this helps!

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Answer:

is equal cuz a will be cut and be will be cut so what is left 1 is left so it is equal plz Mark me as the brainliest and thank me

Answer:

2 dollars each I think........

Answer:C

Step-by-step explenation: m=134kg,h=72m,g=10m/s

PE=mgh

PE=(134kg)(10m/s^2)(72m)

PE=964800J