MATHEMATICS MIDDLE SCHOOL

The point A(-8,6) is translated using T: (x,y) = (x + 5. y - 4).What is the distance from A to A'?

Answers

Answer 1

Answer:

Step-by-step explanation:

For this problem, we can simply plug in the coordinate point into the given formula.

(-8, 6) = (-8 + 5, 6 - 4)

(-8, 6) = (-3, 2)

So, A' is at point (-3, 2)

Now, we have to find the distance from A to A'. We can use the distance formula.

$d=√((x2-x1)^2+(y2-y1)^2)$

$d=√((-3-(-8))^2+(2-6)^2)$

$d=√((5)^2+(-4)^2)$

$d=√(25+16)$

$d=√(41)$

So, the distance between A and A' is about 6.4 units.

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A volcanic plug shaped like a cone has a diameter of 24 km and a height of 3 km.What is the volume of the plug?

Use 3.14 to approximate pi, and express your final answer in hundredths.

and

Ellie’s bird feeder is shaped like a cone with a height of 24 in. and a radius of 3 in. Packages of bird seed are cylindrical and come in different sizes.

What is the height of the package that has a radius of 6 in. and contains exactly enough bird seed to fill the feeder?

Use 3.14 to approximate pi.

Answers

volume of a cone=height times 1/3 times are of base
area of base=circle=pi times radius^2
pi is aprox in this problem 3.14
volume=height times 1/3 times 3.14 times radius^2
height=3
diameter=2radius
radius=1/2diameter
radius=1/2 times 24=12

volume=3 times 1/3 times 3.14 times 12^2
volume=1 times 3.14 times 144
volume=452.16 km^3 cubic km

second:
so bird feeder height=24
radius=3
volume=24 times 1/3 times 3.14 times 3^2
volume=8 times 3.14 times 9
volume=226.08
then find height of package with same volume
226.08=height times 1/3 times 3.14 times 6^2
226.08=height times 3.14 times 36 times 1/3
226.08=height times 3.14 times 12
226.08=heigh times 37.68
divide both sides by 37.68
6=height

the height is 6 inches

ANSWERS
1. 452.16 km^3 or 452.16 cubic km

2. 6 inches or 6 in

Linda buys pack of 9 towels for $24.30. Find the unit price in dollars per towel. If necessary, round your answer to the nearest cent

Answers

Each towel costs $2.70

The cost in dollars to print n books is 500 + 10n.How many books are printed for a cost of $15 000?

Answers

500 + 10n = 15,000

Subtract 500 from each side:

10n = 14,500

Divide each side by 10 :

n = 1,450 books

$500+10n=15.000 \n \n 500-500+10n =15.000-500 \n \n 10n=14.500 \n \n n= (14.500)/(10) \n \n \boxed{n=1.450}$

Juan spent 10 minutes on his history homework and 3 minutes per question on this math homework Which graphshows the homework t o the number of math questions ?
82

Answers

Answer:

The graph should have a slop of 10/3 or something like that

If a spacecraft was parked on Venus and needed to make a flight to Jupiter, how far would it need to travel? (Assume both planets are aligned with the sun and are on the same side of the sun.) in scientific notation.

Answers

Answer:

1.08⋅10^8 km

Step-by-step explanation:

Max purchased a box of green tea mints. The nutrition label on the box stated that a serving of three mints contains a total of 10 calories. Write an equation that represents C(x), where C(x) represents the number of Calories in x mins. A full box of mints contains 180 calories. Determine the total number of mints in the box.

Answers

ok so 3 mints=10 calories
if you input 3 for number of mints, ou get 10 for caloires
10=k3
divide both sides by 3
10/3=k

therfor
C(x)=(10/3)x

full box =180 caloies
therefor
full=180=(10/3)x
multiplyboth sides by 3/10 to clear fraction (since 10/3 times 3/10=30/30=1)
540/10=x
54=x

54 cookies

ANSWER
equation is
c(x)=(10/3)x
54 mints per box

C(x)= 180 we know 3 mints=10 cal. so if there's 180 cals. 18*3= 54 hope I helped.

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