What is the perimeter of triangle ABC with vertices A(-1,-2), B(2,-6), and C(-3,-6)?

Answers

Answer 1

Answer: find the distance between the points and that is perimiter

find
A to B
B to C
C to A
we need the distance formula
D= $\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}$
where D is the distance between points (x1,y1) and (x2,y2)

A to B
(-1,-2) to (2,-6)
D= $\sqrt{(2-(-1))^(2)+(-6-(-2))^(2)}$ =5

B to C
(2,-6) to (-3,-6)
since the y value stayed the same, find the distance betwen the x values
2 to -3 is distance of 5

C to A
(-3,-6) to (-1,-2)
D= $\sqrt{(-1-(-3))^(2)+(-2-(-6))^(2)}$ =2√5

add everybody

5+5+2√5=10+2√5 units

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Find 4 consecutive odd integers whose sum is 232

Answers

4 consecutive odd integers whose sum is 232 are : 55, 57, 59, 61

How to find the sum of consecutive integers?

$1 + 2 + 3 + ... + n = (n(n+1))/(2)$

Let the first integer be x and x is an odd number.

Let Four consecutive odd integers are;

x, x + 2, x + 4, x + 6

(x) + (x + 2) + (x + 4) + (x + 6) = 232

4x + 12 = 232

4x = 232 - 12

4x = 220

x = 220/4

x = 55

x + 2 = 55 + 2 = 57

x + 4 = 55 + 4 = 59

x + 6 = 55 + 6 = 61

The numbers are : 55, 57, 59, 61

Learn more about the concept here;

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4 consecutive odd integers...
x, x + 2, x + 4, x + 6

(x) + (x + 2) + (x + 4) + (x + 6) = 232
4x + 12 = 232
4x = 232 - 12
4x = 220
x = 220/4
x = 55

x + 2 = 55 + 2 = 57
x + 4 = 55 + 4 = 59
x + 6 = 55 + 6 = 61

so ur numbers are : 55, 57, 59, 61

Rene is going to the lake to visit some friends. If the lake is 60 miles away, and Rene is driving at 40 miles per hour the entire time, how long will it take her to get to the lake?

Answers

1 and a half hours. That is 60÷40=1.5

60 miles divided by 40 miles per hour equals 1 1/3 hours, or 1 hour and 20 minutes

Calculate the following total weekly wages:a) 38 hours at $22.10 per hour, plus 2 hours at time-and-a-half
b) 37 hours at $18.32 per hour, plus 3 hours at time-and-a-half and 2 hours at double time

Answers

So we would multiply 22.10 times 38, which is $839.00, then multiply 22.10 times the two extra hours which is $44.20, and then you'll divide 22.10 in half to find out how much it would be in a HALF hour, which is $11.05, and add all of those answers and your final answer for A. would be $894.25.

We would do the same as above for B., but only 2 hours at double would be 4 hours, and your final answer would be $815.24.

I hope I helped! =D

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!For which intervals is the function increasing?

Select EACH correct answer.

Answers

Answer: B. ( -∞ , 0) and C. (1, 2)

Step-by-step explanation:

The y-value is increasing between x = -∞ and x = 0.

The y-value is decreasing between x = 0 and x = 1.

The y-value is increasing between x = 1 and x = 2.

The y-value is decreasing between x = 2 and x = +∞

So, the y-value is increasing at ( -∞ , 0) ∪ (1, 2)

Justin wants to use 376ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden?

Answers

If the perimeter is fixed, the greatest possible area is a circle, and the next greatest is a square.

Justin should use his 376 ft of fence in a square with sides of 94 ft. The area will be 8,836 square feet. (94 x 94).

Can somebody help me please

Answers

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y−y1=m(x−x1) to find the line parallel to y=2x−7. y=2x+12

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