What is the distance between points M and H? Round to the nearest tenth of a unit. units Two points on a coordinate grid. Point Ms coordinates are negative two, five. Point Hs coordinates are six, zero.

Answers

Answer 1

Answer: I graphed the points and I observed that it can form a right triangle. The distance required is the hypotenuse of the right triangle.

long leg is from -2 to 6 value of the x line. Its measure is 8.
short leg is form 0 to 5 value of the y line. Its measure is 5.

We will use the Pythagorean theorem to get the hypotenuse or distance of two points.

a² + b² = c²
8² + 5² = c²
64 + 25 = c²
89 = c²
√89 = √c²
9.43 = c

The distance of the two points, M and H, is 9.43

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A new pencil weighs 25 grams. After the pencil has been used for a while, it weighs 2 decagrams. How many grams of the pencil have been used up

Answers

5 grams of the pencil have been used up.

5 grams have been used up.

2 decagrams = 20 grams

You originated with 25.

25 - 5 = 20

Therefore the answer is 5 grams.

Solve for x: −3|x + 7| = −12

Answers

-3Ix + 7I = -12 (divide -3 from each side)

Ix + 7I = -12/3

Ix + 7I = -4

x + 7 = -4 or -x - 7 = -4

x = -11 or -x = 3
x = - 3

x = -3 or -11

-3|x+7|= -12
⇒ |x+7|= -12/(-3)
⇒ |x+7|= 4
⇒ x+7= 4 or x+7= -4
⇒ x= 4-7 or x= -4 -7
⇒ x= -3 or x= -11

Final answer: x= -3 or x= -11~

A red candle is 11 2/5 inches tall. The label claims that the candle will melt 1 1/8 inch every hour it burns. If the label is correct, for how many hours will the candle burn?

Answers

$11(2)/(5)\ inches\ burn\ in\ x\ hours\n\n1(1)/(8)\ inches\ burn\ in\ 1\ hour\n\ncross\ multiplication\n\n11(2)/(5)=1(1)/(8)x\ \ \ \ | divide\ by\ 1(1)/(8)\n\n((57)/(5))/((9)/(8))=x\n\n(57)/(5)*(8)/(9)=x\n\nx=(456)/(45)=10(2)/(15)\n\nCandle\ will\ burn\ in \ 10(2)/(15)\ hours.$

How many small cubes are needed to completely fill the rectangular prism?

Answers

Do you have the volume of the rectangular prism? Or maybe just the side lengths?

The area of the garden is 851 square meters. If the length of the garden is 23 meter, what is the width of the garden?

Answers

A=LW
so 851=23W
Divide both sides by 23 to get the width by itself and you get
37=W or the width is 37 meters

The correlation coefficient between two variables is 0.9. how do you describe this value?

Answers

A correlation coefficient of 0.9 shows a strong, almost perfect correlation between the two variables. A positive correlation implies that when one variable increases, the other variable increases together with it. When one variable decreases, the other variable decreases as well.

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