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3 years ago

Please help me! ASAP I need help with the third box to the far right!

Mathematics

1 answer:

Goshia [24]3 years ago

3 0

Hope this isn't too late

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What is true about ABC? Check all that apply.

Ira Lisetskai [31]

In the given triangle , Coordinates of A (-1,3) , B (-5,-1), C (3,-1).

Let's find the slope of AB and AC .

Formula of slope is

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1}}$

For AB, slope is,

$m = \frac{-1-3}{-5+1} = \frac{-4}{-4} =1$

And slope of AC is

$\frac{-1-3}{3+1} = \frac{-4}{4} = -1$

Product of the slopes of AB and AC is

$= 1* (-1) =-1$

Since the product of the two slopes is -1, so AB and AC are perpendicular.

And if they are perpendicular, angle BAC is 90 degree, so the triangle is right triangle .

Now we check the length of the sides of the triangle, and for that we use distance formula , which is

$d = \sqrt{ (x_{2} - x_{1} )^2 + (y_{2} - y_{1} )^2}$

So for AB,

$AB = \sqrt{ (-3-1)^2 + (-5+1)^2} = \sqrt{32} = 4 \sqrt 2$

For AC,

$AC = \sqrt{ (-1-3)^2 + (3+1)^2 } =\sqrt{32} = 4 \sqrt 2$

For BC,

$\sqrt{(-1+1)^2 + (3+5)^2 } = 8$

And since two sides are equal, so the triangle is isosceles triangle .

8 0

3 years ago

Read 2 more answers

The United States Postal Service charges $0.55 to mail a first-class letter that weighs up to 1 ounce. Each additional ounce

musickatia [10]

Answer:

D is the answer.

Step-by-step explanation:

On edge, I took the test and put C the first time. I took the test again and D was the correct answer.

6 0

4 years ago

Read 2 more answers

Two integers a and b, have a product of 24. What's the least they can be?

xxTIMURxx [149]

Well think, 24= 8x4 right? So, 2 can go into 24 which=12 so lets divide.
24÷2= 12
12÷2=6
6÷2=3
3 is the smallest we can get so can 3 go into 24? yes, so 8 times
so the smallest they can be are 8*3 and you cant reduce 8 anymore because of the three once one gets the smallest they both do. hope this helped.

8 0

4 years ago

A boy flying a kite is standing 30 ft from a point directly under the kite. If the string to the kite is 50 ft long, what is the

masha68 [24]

Answer:

250

Step-by-step explanation:

because if he's directly under it that means it's a straight line

5 0

4 years ago

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Moe puts $1500 in a bank certificate that pays an annual rate of 4.5% compounded annually. No withdrawals or deposits are made.

SpyIntel [72]

Answer:

FV= $2,041.29

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,500

Number of periods (n)= 7 years

Interest rate (i)= 4.5% = 0.045

<u>To calculate the future value, we need to use the following formula:</u>

FV= PV*(1+i)^n

FV= 1,500*(1.045^7)

FV= $2,041.29

6 0

3 years ago