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3 years ago

If P = (3, 1) and Q = (-3, -7), find The distance PO

Mathematics

1 answer:

Monica [59]3 years ago

7 0

Answer:

10 units

Step-by-step explanation:

Given data

P = (3, 1) and Q = (-3, -7)

x1=3

y1=1

x2= -3

y2= -7

The expression for the distance between two coordinate is

d=√((x_2-x_1)²+(y_2-y_1)²)

Substitute

d=√((-3-3)²+(-7-1)²)

d=√((-6)²+(-8)²)

d=√36+64

d=√100

d=10 units

Hence the distance is 10 units

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3 years ago

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4 if the perimeter of the triangle is 13.5 inches find the

marissa [1.9K]

Answer:

The shortest side of the triangle is 3 inches.

Step-by-step explanation:

Given:

The ratio of the measure of the sides of the triangle is 1/6: 1/3: 1/4.

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Now, to find the shortest side.

Let the one side be $\frac{1}{6}x$

And the second side be $\frac{1}{3}x$ .

And the third side be $\frac{1}{4}x$ .

According to question:

$\frac{1}{6}x+\frac{1}{3}x+\frac{1}{4}x=13.5$

⇒ $\frac{x}{6}+\frac{x}{3}+\frac{x}{4}=13.5$

Adding all the variables by taking common denominator we get:

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Multiplying both sides by 12 we get:

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Dividing both sides by 9 we get:

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3 years ago

Radioactive Decay Beginning with 16 grams of a radioactive element whose half -life is 30 years ,the mass y(in grams) remaining

Flura [38]

Answer:

the equation should be corrected to fit the data of the problem. With the corrected equation a mass of 0.5 grams remains after 150 years

Step-by-step explanation:

for the mass y( in grams)

y=23* (1/2)^(t/45), t ≥ 0.

the initial mass is at t=0 , then

y= 23 grams → should be 16 grams

half-life from the equation = 45 years → should be 30 years

the correct equation should be

y=16*(1/2)^(t/30), t ≥ 0

then after 150 years → t= 150

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then a mass of 0.5 grams remains after 150 years

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3 years ago

If P = (3, 1) and Q = (-3, -7), find The distance PO​

If P = (3, 1) and Q = (-3, -7), find The distance PO