MATHEMATICS HIGH SCHOOL

Which corresponds to the perimeter of triangle ABC?A (-5,-1)
B (-2,3)
C (6,-3)


A. 15 units
B. square root 250 units
C.15+ square root 125 units
D.125+ square root 125 units

Answers

Answer 1
Answer:

Answer:

The answer to your question is: letter C

Step-by-step explanation:

Data

A (-5 , -1)

B (-2, 3)

C (6, -3)

Perimeter = ?

Formula

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

distance AB      d = \sqrt{(-2 + 5)^(2) + (3 + 1)^(2) }

                         d = \sqrt{(3)^(2) + (4)^(2) }

                         d = √((9 + (16) )

                                 d = √(25)

                                        d = 5

Distance BC    d = \sqrt{(-3 - 3)^(2) + (6 + 2)^(2) }

                         d = \sqrt{(-6)^(2) + (8)^(2) }

                         d = √(36 + 64)                    

                         d = √(100)

                                d = 10

Distance AC     d = \sqrt{(-3 + 1)^(2) + (6 + 5)^(2) }

                         d = \sqrt{(-2)^(2) + (11)^(2) }

                         d = √(4 + 121)

                         d = √(125)

                                d = 11.2

Perimeter = 5 + 10 + 11.2

                = 15 + √(125)

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a cyclist covers a distance of 12 km at a speed of 8 km per hour calculate the time taken to cover this distance​

Answers

1.5 hours

To find how long it took for them to travel 12km, subtract 8 from 12. (4)

If it took them 1 hour to travel 8km and 4 is half of 8, then it would have took them 1 and a half hours to travel the 12km.

If you need a larger explanation, please let me know :)

Hope this helps!

Need anything else?

Select the correct solution set. -7x ≥ 56

{x | x ≤ -8}
{x | x ≥ -8}
{x | x ≥ 8}

Answers

The solution is Option A.

The value of the inequality equation is {x | x ≤ -8}

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

-7x ≥ 56    be equation (1)

On simplifying the equation , we get

Divide by -1 on both sides of the equation , we get\

7x ≤ -56

Divide by 7 on both sides of the equation , we get

x ≤ -8

Therefore , the value of A is x ≤ -8

Hence , the inequality equation is x ≤ -8

To learn more about inequality equations click :

brainly.com/question/11897796

#SPJ2
{x | x ≤ -8} is the correct one

Hope I helped : )

I need help with the answers please....I have no idea how to do this and I'm already behind

Answers

Remember alternative exterior angles are congruent... that means for example 12 that the angles are congruent

Also, interior angles are congruent... that means for example 17 the angles are congruent (also 19)

And, vertical angles are also congruent... that means for example in 18 the angles are congruent...

Consecutive angles also are congruent... that means 14

Corresponding angles are also congruent.. that means for example 13

Any other ones that I didn't exactly list... if they look like the ones I DID list then they go under that definition...

Hope this helps :)

Bill cleans house windows for $20/houseplus $1/window. If your house has 22
windows; how much will it cost?
y= rate • x + constant

Answers