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3 years ago

Need answer ASAP I’m timed What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Mathematics

1 answer:

Whitepunk [10]3 years ago

3 0

Answer:

Step-by-step explanation:

(7, 8) (-8, 0)

First find how much the point moved in y to the second point.

8-0=8

So one side is 8.

Then find how much it moved in x. 7-(-8)=15

So the other side is 15

This will give you 2 sides of a triangle where one sides lenght is 8 the other is 15. Use the pythagoras theorem which is x squared plus y squared = c squared

8^2+15^2=c^2

64+225=c^2

289=c^2 Take the square root of both sides to solve for C

√289= √C^2

17 = c

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the length of johns patio is 5 feet less than 3 times the length of howards patio .johns patio has a length of 40 feet . what is

garri49 [273]

Hi there! The answer is 15 feet.

The easiest way of solving this problem is by setting up and solving an equation.

Let the length of Howard's patio be represented by X. Now we can get the following expressions

3 times the length of Howard's patio would be 3X (multiply by three).
5 feet less than 3 times the length of Howard's patio would be 3X - 5 (just subtract five).

Now we've found an expression that represents the length of John's patio. Knowing this we can set up and solve an equation.

$3x - 5 = 40$
First add 5 to both sides of the equation.

$3x = 40 + 5$
$3x = 45$
Finally divide both sides by 3.

$x = \frac{45}{3} = 15$
Therefore, the length of Howard's patio is 15 feet. The answer is 15 feet.

~ Hope this helps you!

6 0

4 years ago

∠2 and ∠3 form a linear pair. ∠3 and ∠1 are vertical angles. m∠1= 62 ∘ . What is m∠3?

Rashid [163]

M<3 is he sam as 123

3 0

3 years ago

Read 2 more answers

A company logo

Pie

$\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2} ~~ \begin{cases} s=sides\\[-0.5em] \hrulefill\\ s=2 \end{cases}\implies h=\cfrac{2\sqrt{3}}{2}\implies h=\sqrt{3}\implies h\approx 1.7$

5 0

1 year ago

Suppose that Matthew can choose to get home from work by car or bus.

Verizon [17]

Answer:

B-91%

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: arriving home after 7 p.m.

Event B: getting home by bus.

When he chooses to get home by bus, he arrives home after 7 p.m. 25 percent of the time.

This means that $P(A|B) = 0.25$

Because the bus is cheaper, he uses the bus 70 percent of the time.

This means that $P(B) = 0.7$

Probability of getting home after 7 p.m.

70% of the time he uses bus, and by bus, he arrives arrives home after 7 p.m. 25 percent of the time.

100 - 70 = 30% of the time he uses the car, and by car, he arrives home after 7 p.m. 6 percent of the time.

$P(A) = 0.7*0.25 + 0.3*0.06 = 0.193$

What is the approximate probability that Matthew chose to get home from work by bus, given that he arrived home after 7 p.m.?

$P(B|A) = \frac{0.7*0.25}{0.193} = 0.9067$

Rouding up, 91%.

So the correct answer is:

B-91%

7 0

4 years ago

7х + Зу = 8

Naddika [18.5K]

Explanation: the positive 3y and the negative 3y cancel each other out. Then you combine the x values which equals 13x=13
X=1 then plug the x back into the equation 7x+3y=8. X=1 and Y=1/3

4 0

4 years ago