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3 years ago

Find the distance between the points given. (-3, 2) and (9,-3)

Mathematics

1 answer:

marishachu [46]3 years ago

8 0

Answer:

Step-by-step explanation:

To find the distance between the points given, we use the Distance Formula (otherwise known as rewriting the pythagorean theorum).

d=√(x_2 - x_1)²+(y_2 - y_1)²)

Distance (d) = √(9 - -3)2 + (-3 - 2)2

= √(12)2 + (-5)2

= √169

= 13

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Show work to this problem

hoa [83]

X+y=70
x-y=30
x=30+y
30+y+y=70
2y=40
y=20
x+20=70
x=50
xy=(50)(20)=1000

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3 years ago

Use the rules of significant figures to simplify the following expression: 22.674 • 15.05

ArbitrLikvidat [17]

1. count how many sig figs are in the number with least sig figs
2. multiply
3. cut the result off at the number of sig figs on top

15.05 has 4 sig figs
341.2

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3 years ago

Find the apothem of an equilateral triangle with radius 8 cm.

Over [174]

In this question , the triangle is equilateral triangle , with radius equals to 8 cm and we have to find the length of apotherm, a .

Using sine ratio rule,

$sin C = \frac{ opposite}{hypotenuse}$

For triangle ODC, opposite is a cm and hypotenuse is of length 8 cm .

So we will get

$sin 30 = \frac{a}{8}$

Multiplying both sides by 8

$8 sin 30 =a
\\
8* \frac{1}{2} =a
\\
a = 4 cm$

So the length of the apothem is 4 cm .

4 0

3 years ago

Is this answer correct?

hodyreva [135]

Answer:

Step-by-step explanation:

How to solve :

(a-4)/(a^2+8a+12)*(a^2-2a-48)/(a^2+4a-32)

Factor:

a^2+8a+12 = (a+6)(a+2)

a^2-2a-48 = (a-8)(a+6)

a^2+4a-32 = (a+8)(a-4)

simplify a+6, and a-4

you are left with (a-8)/(a+2)(a+8) = (a-8)/(a^2+10x+16)

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3 years ago

A six-sided die is rolled twice. What is the probability that the result of both rolls are 1?

sweet [91]

<span>probability of every number is 1/6</span>

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3 years ago

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