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3 years ago

Find the distance between M(-1,-10) and P(-12,-3) * Round to the nearest tenth.

Mathematics

1 answer:

DedPeter [7]3 years ago

8 0

Answer:

13.0 units

Step-by-step explanation:

To find the distance between two points, we use the formula

d = sqrt( (y2-y1)^2+ (x2-x1)^2)

sqrt((-3--10)^2 + (-12--1)^2)

sqrt( (-3+10)^2 + (-12+1)^2)

sqrt( (7^2 + (-11)^2)

sqrt( 49+121)

sqrt( 170)

13.038

Rounding to the nearest tenth

13.0

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nikitadnepr [17]

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Now, he makes, $4.75 in an hour.
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Answer

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3 years ago

Read 2 more answers

Lizzie has 30 coins that total $4.80. All of her coins are dimes, D, and quarters, Q. Algebraically determine how many of each t

Gnom [1K]

Lizzie has 18 dimes and 12 quarters

<em><u>Solution:</u></em>

Let "d" be the number of dimes

Let "q" be the number of quarters

We know that,

value of 1 dime = $ 0.10

value of 1 quarter = $ 0.25

Given that LIzzie has 30 coins

number of dimes + number of quarters = 30

d + q = 30 ---- eqn 1

Also given that the coins total $ 4.80

number of dimes x value of 1 dime + number of quarters x value of 1 quarter = 4.80

$d \times 0.10 + q \times 0.25 = 4.80$

0.1d + 0.25q = 4.8 ------ eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

d = 30 - q ---- eqn 3

Substitute eqn 3 in eqn 2

0.1(30 - q) + 0.25q = 4.8

3 - 0.1q + 0.25q = 4.8

0.15q = 1.8

From eqn 3,

d = 30 - 12

Thus she has 18 dimes and 12 quarters

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3 years ago