The rectangle has an area of 4(x+3) square units.A- If the dimensions of the rectangle are doubled, what is the area of the new rectangle in terms of x? Show your work.

B- Will the ratio of the area of the original rectangle to the area of the larger rectangle be the same for any positive value of x? Explain.

Answers

Answer 1

Answer: Suppose there is a rectangle with a width and length of x and y. The area would be xy.

A rectangle with width and length 2x and 2y would have an area of 4xy.

In essence, when you multiply the lengths by 2, the area multiplies by 2 SQUARED.

4(4(x+3)) = 16(x+3).

The ratio will be the same for any value of x because the area is still being multiplied by the same 2².

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An object moves backwards from where it starts 100 meters in 20 seconds. What is the velocity of the object? Select one:

5 m/s2

-5 m/s

5 m/s

- 5 m/s2

Answers

5m/s

The formula to find the velocity is distance/time.

So 100/20 is 5m/s.
It’s not 5m/s2 because this is the unit for acceleration.
And it’s not negative because it is not possible for the velocity to be negative.

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What is the answer to this equation:

23 x a = 10189
What is a?

Answers

to find A u divide 10189 by 23 which is 443 but to check ur work multiply 443 by 23 which is 10189

You can divied 10189➗23 and it is 443.The you multiply 443✖️23 it will give you ........ 10189!!!

A function f(x) has x intercepts of -3 and -5. What is the constant term in the function? F(x)=x^2+8x+

Answers

Answer:

The constant term in the function is 5

Step-by-step explanation:

we have

$f(x)=x^(2)+8x+b$

where

b is the y-intercept or the constant term of the function

Remember that

The x-intercept is the value of x when the value of the function is equal to zero

For x=-3 ----> f(x)=0

For x=-5 ----> f(x)=0

substitute any of the intercepts in the function

For x=-3

$0=(-3)^(2)+8(-3)+b$

$0=9-24+b$

$0=-15+b$

$b=15$

$f(x)=x^(2)+8x+15$

Verify with the other intercept

For x=-5

$0=(-5)^(2)+8(-5)+15$

$0=25-40+15$

$0=0$ ---> is true

therefore

The constant term in the function is 5

Solve this Equation 10x+2=32

Answers

x=3 ,is the answer.

The equation given: 10x+2 = 32

10x+2=32

10x=30

x=30/10

x=3

What is the best definition of an equation?

The equation is defined as the state of an equation, often expressed as an equation with equal values on both sides, or refers to a problem that needs to be considered a lot. An example equation is 2 + 2 = 3 + 1

. Linear equations have only one or two variables. Variables in linear equations are powers of 1 and are not used as the denominator of fractions. If you find a pair of values that make the linear equation true and plot those pairs on the coordinate grid, all the points are on the same line.

Learn more about equations here:brainly.com/question/13763238

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10x+2=32
10x=30
1=3
3=x

(05.03)Calculate the area of the irregular polygon shown below: Image of letter E with height of 12 and width of 7 and inside space of height of 5 and width of 6. All units are in inches. 24 square inches 44 square inches 54 square inches 84 square inches

Answers

Answer:

24 square inches

Step-by-step explanation:

We are given Image of letter E with height of 12 and width of 7

Inside space of height of 5 and width of 6

Initially calculate the area of rectangle ABKL = length *width = 12*7= 84 square inches

Now to get the area of given figure subtract the area of rectangle CDFE and HGJI from the rectangle ABKL

Area of CDEF = Area of HGJI because the length and width of the rectangles is same

Thus Area of CDEF = length *width =5*6 = 30 square inches

Thus the Area of HGJI = 30 square inches

Now subtract the area of both rectangles from the area of rectangle ABKL

⇒84-(30+30)

= 24 square inches .

Hence the area of given figure LETTER E = 24 square inches .

Answer:

it is a

Step-by-step explanation:

Help Please! Write each repeating decimal using bar notation.1) 0.999...
2) 5.92111...
3) 2.010101...
4) 13.1464646...
5) 26.993993...
6) 30.6841841841...

Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeating decimal.

1) 3/8
2) 4/5

Help please! & thanks!!!

Answers

So,

(v) = vinculum or "bar"
1. 0.9999... = .9(v)

2. 5.921(v) over the 1

3. 2.01(v) over the 01

4. 13.146(v) over the 46

5. 26.993(v) over the 993

6. 30.6841(v) over the 841

Part B

1. 3/8 = 0.375 (not repeating)

2. 4/5 = 0.80 (not repeating)

$0.\overline{9}\n5.92\overline{1}\n2.\overline{01}\n13.14\overline{64}\n26.\overline{993}\n30.6\overline{841}\n\n(3)/(8)=(375)/(1000)=0.375\n(4)/(5)=(8)/(10)=0.8$

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Complete the table by converting each decimal to a fraction. Show your work. Repeating decimals. 0.2, 0.5, 0.7 Describe any patterns you noticed when converting the decimals in the table