in a dilation, what is preserved and what is altered?​

From the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

The addition property of equality states that to balance an equation, whatever value we add to one side of an equation must be added also from the other side of the equation.

In step 3, we have the following equation:

-8x - 42 = -22

Simon applied the addition property of equality by adding 42 to both sides of the equation to get -8x = 20 in step 4.

-8x - 42 + 42 = -22 + 42

-8x = 20

Therefore,  from the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

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Answer: the answer is $9,600

Step-by-step explanation:

option A = 40(24)   =  option B = x (.1)       where x is her gross sales

40(24) = x(.1)

40(24)/.1 = x = sales = $9600

Answer:

x > -4

Step-by-step explanation:

- 16x < 64

Divide by -16 on both sides. (Remember you always do the opposite on these type of questions!)

x > -4

(When dividing or multiplying by a negative the inequality sign flips!)

Hope this helps and have a good day!

Answer:

A

Step-by-step explanation:

Answer:

slope = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 12) ← 2 points on the line

m = [tex]\frac{12-0}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

Answer:

The slope of this line is 4.

Step-by-step explanation:

Pick any 2 points on the graph you want, just make sure they land perfectly on where the line meets the grid. I'll pick (1, 4) and (2, 8) here.

The slope formula is:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

where (x1, y1) and (x2, y2) are the first and second points you picked above. Now, all you need to do is plug those 2 points into the formula and solve.

[tex]m=\frac{8-4}{2-1}\\\\m=\frac{4}{1}\\\\m=4[/tex]

The slope of this line is 4.

Answer:

Sale price is [tex]15.2\$[/tex]

Step-by-step explanation:

Price is reduced by 80% from the original price.

Here original price is $76

Sale price is

[tex]=76-76\times\frac{80}{100}\\\\=0.2\times76\\\\=15.2\$[/tex]

Answer:

a]y= 0.11x + 3.44

b]y= 0.11x + 3.44

explanation:

y=mx+b form

Answer:

2 - n

Step-by-step explanation:

2 decreased by n means n less than 2.

Answer:

Write each phrase as an algebraic expression. Phrase, Expression. nine increased by a number x, 9 + x. fourteen decreased by a number p, 14

Step-by-step explanation:

2-n       Plz mark brainliest if correct

Answer:

i. 15.4

ii.45.2

Step-by-step explanation:

correct me if im wrong

tnx

Answer: a very straight forward b 2 4 and 6 c 9

Step-by-step explanation:

Answer:

Hi the answer is x=63

x/9=7

multiply both sides by 9

(x/9)*(9)=(7)*(9)

therefore 63 is the missing number

the line go through 2 points ( -4 ; -5 ) and ( 6 ; 4 )

ANSWER: [tex]y=\frac{9}{10}x -\frac{7}{5}[/tex]

ok done. Thank to me :>

Step-by-step explanation:

I cannot draw here, but I can show and tell you how to find 2 points of the individual lines that you can then mark on the chart and draw the line through them.

1)

y = 7/2 x - 2

so, the first and easiest point is the y-intercept (where x = 0).

x = 0, therefore, y = -2

so, the first point is (0, -2)

for the second point : what value of x would eliminate the fraction and make this whole integer number calculations ?

well, x = 2 !

so,

y = 7/2 × 2 - 2 = 7 - 2 = 5

and our second point is (2, 5)

2)

y = -6x + 3

the same principles. first x = 0, therefore y = 3

the first point is (0, 3)

for the second point we can choose any integer x, as all the other terms are integer too.

let's pick x = 1

y = -6×1 + 3 = -6 + 3 = -3

so, the second point is (1, -3)

3)

y = -5

this just means that for every possible value of x the resulting y value is -5.

that means it is a horizontal line through y = -5 or (0, -5)

4)

y = 6/5 x + 1

the same principles. x = 0, therefore y = 1

the first point is (0, 1)

for the second point, again, what x eliminates the fraction and makes all an integer operation ?

well, x = 5.

y = 6/5 × 5 + 1 = 6 + 1 = 7

ok, 7 is off the chart, so let's use x = -5 instead.

y = 6/5 × -5 + 1 = -6 + 1 = -5

so, the second point on the chart is (-5, -5)

Answer:

RS = 46 , RT = 38

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle (mid segment) is half the length of the third side, then

RS = 2 × UW = 2 × 23 = 46

RT = 2 × VW = 2 × 19 = 38

Answer:

there are infinitely many solutions

Step-by-step explanation:

1/2(b+14) is the same as (b+14)/2, so no matter what number you plug in for b, both sides will always be equal. thus, there is infinitely many solutions.

hope this helps <3

Answer: there is no solution.

Step-by-step explanation:

We can see mentally that when we multiply both sides by 2, we will be left with b+14 on both sides which will cancel out ( “b” will cancel out) so there is no solution.

Answer:

7743 :)

Step-by-step explanation:

d

$5604.41 will be worth after 20 years I think

Compound interest is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

Option 2 will be worth $7400.25 after 20 years.

Option C is the correct answer.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

Option 2.

1st year.

Principal = 1100

2nd year.

Principal = 1210

3rd year.

Principal = 1331

(1210 - 1100) / 1100 x 100

= 110/1100 x 100

= 10%

This means,

It is increasing at a rate of 10% annually.

Now,

P = $1100

r = 10%

n = 1

t = 20

A = P [tex](1 + r/n)^{nt}[/tex]

A = 1,100 [tex](1 + 0.1)^{20}[/tex]

A = $7400.25

Thus,

Option 2 will be worth $7400.25 after 20 years.

Option C is the correct answer.

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Answer:

inches: 0.5 miles: 14

inches: 1 miles 28

inches: 1.5 miles 42

Hope This Helps!!!

Answer:

try B for an answer, hope it helps

If -0.14 is changed to 2, the graph would become a positive graph, or it would be steeper, because it has a positive slope

The equation of the graph is given as:

[tex]y = -0.14x + 3[/tex]

The above equation is a linear equation, which is represented as:

[tex]y =mx + c[/tex]

Where m represents the slope of the linear equation.

By comparison, we have:

[tex]m = -0.14[/tex]

i.e. the slope of the equation [tex]y = -0.14x + 3[/tex] is -0.14

When -0.14 is replaced with 2, the equation becomes

[tex]y = 2x + 3[/tex]

And the slope of the new equation [tex]y = 2x + 3[/tex] is

[tex]m =2[/tex]

2 is greater than -0.14, and 2 is positive.

This means that the graph would become a positive graph, or it would be steeper, because it has a positive slope

Read more linear equations at:

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8 hours is twice as many as 4:

Multiply the number of windows in 4 hours by 2:

32 x 2 = 64 windows in 8 hours

Answer:

64

Step-by-step explanation:

32÷4=8 8 car windows per hour. 8×8=64

Answer:

start with what's inside the parenthesis so in this case do 54x6 first then solve (2+ whatever the answer was by multiplying 54 times 6  

Step-by-step explanation:

Answer A division

Answer:

a

Step-by-step explanation:

Answer:

2/5 and 3/5

Step-by-step explanation:

Answer:

x+y=10 which means that x=10-y

Replace 10-y in the other equation which gives you:

10-y-y=6

10-2y=6

-2y=-4

y=2

Replace 2 in any of the 2 equations same answer for both:

x+y=10

x+2=10

x=8

So,

[tex] {x}^{3} - y^{3} [/tex]

[tex] = {8}^{3} - {2}^{3} [/tex]

=512-8

=504

Hope this helps!

[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]

Answer:

3/8

Step-by-step explanation:

hope this helped

Answer:

6 to the right

Step-by-step explanation:

Yes, it might be scary at first sight bexause of the square mark. But it is no more special than any other graph transformation. The sqare mark here nly indicates that this graph is a parabola, and the 6 inside shifts the graph (be careful, it is negative so it moves the graph to the RIGHT, by 6 -- the square mark doesnt apply to that).

Answer:

36.7

Step-by-step explanation:

Answer:

V = 82,406.16 cm³

Step-by-step explanation:

Volume of a sphere

V = 4πr³/3

V = 4•3.14•27³/3

V = 247,218.48/3

V = 82,406.16 cm³