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3 years ago

1 substitute p=5, q=7, r = -2

Mathematics

1 answer:

lora16 [44]3 years ago

3 0

a.) 2q + 5r

2(7) + 5(-2)

14 - 10 = 4

b.) 3(p + 6) + q + r Plug in the numbers

3(5 + 6) + 7 - 2 Solve inside the parentheses first

3(11) + 7 - 2

33 + 5 = 38

a.) m(3m + 4n)

2(3(2) + 4(3))

2(6 + 12)

2(18) = 36

b.) n²(m + p²)

(3)²(2 + (-5)²)

9(2 + 25)

9(27) = 243

c.) 3m(8 + n) + n²

3(2) (8 + 3) + 3²

6(11) + 9

66 + 9 = 75

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Figure b is a scale image of Figure A, as shown. Figure a is an Rectangle with 9 on left side and 12 on bottom of rectangle. and

Ronch [10]

The scale factor that was applied to figure A to produce figure B is: 11/3 = 3.67.

<h3>How to Find the Scale Factor of a Dilation?</h3>

The ratio of the corresponding dimensions of the image to the preimage gives the scale factor of any dilation.

That is:

Scale factor = dimension of image (new figure) / corresponding dimension of pre-image (original figure).

The scale factor that was applied to figure A to produce figure B = dimension of figure B / corresponding dimension of figure A.

A dimension of figure B = 33

Corresponding dimension of figure A = 9

Therefore, we would find the scale factor as shown below:

The scale factor that was applied to figure A to produce figure B = 33/9

= 11/3 = 3.67

Therefore, the scale factor that was applied to figure A to produce figure B is: 11/3 = 3.67.

Learn more about the scale factor on:

brainly.com/question/2826496

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1 year ago

How to find the circumference of a circle

Alborosie

Answer:

Step-by-step explanation:

The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).

circle diameter radius

A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)

Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).

The circumference of a circle is found using this formula:

C=π⋅dorC=2π⋅r

5 0

3 years ago

Estimate then find the product 4x979

Vlad [161]

Estimate: 4x980= 3920

Actual Product: 3916

6 0

3 years ago

Read 2 more answers

What is the LCM of x^2+4x, x^2

nordsb [41]

$x^2+4x=x\cdot (x+4)\\
x^2= x\cdot x\\\\
\text{lcm}(x^2+4x,x^2)=x^2\cdot(x+4)=x^3+4x^2$

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3 years ago

Tomorrow Noelle wants to travel a total of 4 miles by walking and running she plans to run for 20 minutes at a rate of 6 miles p

elixir [45]

Answer:

Noelle will need to walk at a rate of 3 miles per hour for 2/3 of an hour to finish traveling the 4 miles.

Step-by-step explanation:

This will be a two part problem.

Noelle wants to travel 4 miles in total.

If she wants to run for 20 minutes at a rate of 6 miles/hour, we need to convert 20 minutes into terms of hours

20 minutes * 1 hour/60 minutes = 1/3 of an hour

let's find the distance she has traveled by running then using

d = r*t

where d is our distance in miles,

r is our speed in miles/hour, and

t is the time taken in hours

if r = 6 miles/hour and

t = 1/3 hours

we have

d = (6 miles/hour) * (1/3 hours)

hours will cancel out, leaving us with

d = 2 miles

If Noelle has covered 2 miles by running, how many minutes then will she need to walk at a rate of 3 miles per hour to cover the remaining two miles?

d = 2 miles

r = 3 miles/hour

2 miles = (3 miles/hour) *t divide both sides by 3 miles/hour

miles will cancel out, leaving us with

2/3 hours = t

Therefore, Noelle will need to walk at a rate of 3 miles per hour for 2/3 of an hour to finish traveling the 4 miles.

3 0

3 years ago