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ladessa [460]
3 years ago
6

Which of the following (x,y) pairs is the solution for the system of equations x+2y=4 and -2x+y=7

Mathematics
1 answer:
kakasveta [241]3 years ago
3 0

Answer:

(-2 ,3)

Step-by-step explanation:

Step 1: Rewrite first equation

x = 4 - 2y

-2x + y = 7

Step 2: Substitution

-2(4 - 2y) + y = 7

Step 3: Solve <em>y</em>

-8 + 4y + y = 7

-8 + 5y = 7

5y = 15

y = 3

Step 3: Plug in <em>y</em> to find <em>x</em>

x + 2(3) = 4

x + 6 = 4

x = -2

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The sum of the three interior angles of a triangle is 180°. Suppose one angle is 68° and the remaining two angles are the same m
disa [49]
Answer: 56 degree

Step-by-Step Explanation:

Let measure of unknown angle be ‘x’

One angle = 68 degree
Sum of all angles is 180 => 68 + 2x = 180

Therefore,
68 + 2x = 180
2x = 180 - 68
2x = 112
x = 112/2
=> x = 56

Therefore, the measure of the missing angles is 56 degrees each.
6 0
2 years ago
Read 2 more answers
If ∠BAC ≅ ∠DCA, is ABE ≅ CDE? Explain.
Tanzania [10]

Answer:

The answer is A.

Step-by-step explanation:

It is A because both sides match up except for the last pair, where they are the same. Hope this helped!

7 0
3 years ago
Mr Wallace sells appliances in receives a weekly salary of $275 plus a 3% Commission on all of his self last week is sells total
Greeley [361]

Answer:

The total earning of Mr Wallace for the week is $310.37  

Step-by-step explanation:

Given as :

The fixed weekly salary of Mr Wallace = $275

And The commission of 3% on his total sell

Last week Mr Wallace total sells amount= $1179

I.e 3% of total sells amount = 3% of $1179 = .03 × $1179 = $35.37

∴The total earning = $275 + $35.37 = $310.37

Hence The total earning of Mr Wallace for the week is $310.37    Answer

8 0
3 years ago
The rainfall total this year was 10.2 inches, which is 20% less than last year's rainfall total. What was last year's rainfall t
antoniya [11.8K]

Answer: 12.75 inches

Step-by-step explanation:

Let x represent last year's rainfall.

Multiply by 0.8 since this year was 20% less.

x(0.8)= 10.2

x = 12.75

6 0
3 years ago
Find the equation of the circle if one of the endpoints of the diameter is (-2,-3) and the midpoint of the circle's diameter is
tankabanditka [31]

Answer:

The answer to your question is    (x - 4)² + (y - 5)² = 100

Step-by-step explanation:

Data

Point = (-2, -3)

Midpoint = (4, 5)

Process

1.- Find the length of the radius using the formula of the distance between two points.

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

x1 = -2   y1 = -3   x2 = 4   y2 = 5

dPM = \sqrt{(4 + 2)^{2} + (5 + 3)^{2}}

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

dPM = \sqrt{36 + 64}

dPM = \sqrt{100}

dPM = 10

2.- Find the equation of the line

                  (x - h)² + (y - k)² = r²

h = 4

k = 5

r = 10

                 (x - 4)² + (y - 5)² = 10²

                 (x - 4)² + (y - 5)² = 100

8 0
2 years ago
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