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3 years ago

5

Line segment AB is dilated to create line segment A'B' using point Q as the center of dilation.

2 answers:

barxatty [35]3 years ago

8 0

Answer:

2

Step-by-step explanation:

Rashid [163]3 years ago

7 0

Answer:

2

Step-by-step explanation:

To find the scale of dilation, you have to compare the ratio of the after transform with before transform according to the center of dilation. In this case, the center of dilation is Q so you have to compare QA' : QA. We know that QA= 1.25 and AA' is 1.25. The distance of QA' will be:

QA'= QA + AA'= 1.25 + 1.25 = 2.5

The scale factor will be:

scale factor= QA' : QA.= 2.5 : 1.25

scale factor= 2

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nata0808 [166]

Answer:

3^4 = 81

Step-by-step explanation:

3x3x3x3

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2 years ago

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The prem

Ne4ueva [31]

Answer:

premium: 165 gallons
water: 120 gallons

Step-by-step explanation:

Let 'a' represent the amount of 95% antifreeze in the mix. Then the amount of water is (285 -a). The mix has this amount of antifreeze in it:

0.95a +0(285 -a) = 0.55(285)

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There are 120 gallons of water and 165 gallons of premium antifreeze in the mixture.

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2 years ago

Please help I learned this a while ago and forgot how to do it

lara [203]

Answer:

The slope-intercept form is $y=\frac{1}{2}x+\frac{11}{2}$

Step-by-step explanation:

To find the slope, use

$m=\frac{y^2-y^1}{x^2-x^1}$

Replace the x and y values with the points.

$m=\frac{7-5}{3-(-1)}$

Solve.

$m=\frac{2}{4}$

$m=\frac{1}{2}$

After that, find the y-intercept form.

Put the equation in point-slope form.

$y-5=\frac{1}{2}(x+1)$

Replace x with 0.

$y-5=\frac{1}{2}(0+1)$

$y-5=\frac{1}{2}$

Add 5 to both sides.

$y=5\frac{1}{2}$

Convert to improper fraction form.

The y-intercept is $\frac{11}{2}$

Now finally, write in slope-intercept form. (y=mx+b)

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7 0

2 years ago

Lily has two times as much money invested in 8% stocks as she has in bonds paying 6%. How much she has invested in stocks if her

EleoNora [17]

Answer:

Final answer is $4440.

Step-by-step explanation:

Let amount of money invested in 8% stock = x

Let amount of money invested in 6% stock = y

then total money invested $325.6 gives equation

8% of x + 6% of y = 325.6

0.08x + 0.06y = 325.6

8x + 6y = 32560...(i)

other equation will be x=2y...(ii)

plug (ii) into (i)

8x + 6y = 32560

8(2y) + 6y = 32560

16y+ 6y = 32560

22y = 32560

$y=\frac{32560}{22}$

y=1480

plug y=1480 into (ii)

x=2y=2(1480)=2960

Then total money invested in stocks = x+y= 1480+2960=4440

Hence final answer is $4440.

5 0

2 years ago