Use the elimination method to solve the system of equations. Choose the correct ordered pair.

Mathematics

1 answer:

Alexxx [7]3 years ago

6 0

Answer:

(8,4)

Step-by-step explanation:

ape x

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Find 3 consecutive numbers where the product of the smaller two numbers in 19 less than the square of the largest number?

sineoko [7]

Answer is 5, 6, & 7

x = smallest number
y = x + 1
z = x + 2

(x)(y) = z^2 - 19
(x)(x+1) = (x + 2)^2 - 19
(x^2 + x) = (x^2 + 4x + 4) - 19
x^2 + x = x^2 + 4x + 4 - 19

x^2 term drops out from both sides

x = 4x + -15
15 = 4x - x
15 = 3x
15/3 = x
x = 5
y = x + 1 = 6
z = x + 2 = 7

Confirm by substituting back in for the variables:
(x)(y) = z^2 - 19
(5)(6) = (7)^2 - 19
30 = 49 - 19
30 = 30 [OK]

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3 years ago

Dan bought 35 pieces of candy. He gave 4 pieces to each of his friends. He only has 3 pieces left. Which equation when solved fo

vovikov84 [41]

Answer: 8 friends

Step-by-step explanation:

35(at first)-3(left)=32

32(given away) divided by 4(to each friend)= 8 friends

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3 years ago

CAN SOMEONE HELP ME WITH REFLECTIONS...ILL GIVE BRAINLEST AND POINTS

yan [13]

<h3>Answer: (-1, -3)</h3>

===================================

How I got that answer:

Step 1) Plot the point P = (-1,5)
Step 2) Draw a horizontal line through 1 on the y axis to create the line y = 1.
Step 3) Starting at point P, move down 4 spaces until you reach (-1,1) which is on the horizontal line. I'll call this point A.
Step 4) Move another 4 spaces vertically downward until you arrive at (-1, -3). This is the location of P' and it is the final answer.

The distance from P' to A is the same as the distance from P to A. In other words, P'A = PA.

A diagram is provided below.

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just olya [345]

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