3 years ago

How do I solve this with Substitution?

1 answer:

8 0

They give you an "x =" statement so you plug in the right side of the equals sign into the first equation wherever x appears. So...

y = 10 - 2(y - 4)
y = 10 - 2y + 8
y = 18 - 2y
y + 2y = 18
3y = 18
y = 6

Now we plug in this result for the y-value into the "x =" statement.

x = 6 - 4
x = 2

Your answer is (2, 6)

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What is the solution for the system of equations x+y=2 and x-y=4

dmitriy555 [2]

X+y=2 (label equation one)
x-y=4 (label equation two)

y=-x+2 (equation one rearranged, label this equation equation three)

sub 3 into 2
x-(-x+2)=4
x+x-2=4
2x-2=4
2x=6
x=3
sub x=3 into equation one

3+y=2
y=-1

therefore x=3 and y=-1

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3 years ago

The measure of five of of the interior angles of a hexagon are 150, 100, 80, 165, and 150. what is the measure of the sixth inte

givi [52]

Answer:

75°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

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let x be the sixth angle, then sum and equate to 720°

150 + 100 + 80 + 165 + 150 + x = 720

645 + x = 720 ( subtract 645 from both sides )

x = 75

The sixth interior angle is 75°

7 0

2 years ago

Which is a critical point of the function f(x) = sin(2x) in the interval [0,2pi] ?

MrRissso [65]

Answer:

D pi/4, 3pi/4

Step-by-step explanation:

Differentiate the function then equal it to zero and solve for the interval (see attached workings)

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2 years ago

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schepotkina [342]

I believe it is a triangular prism

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2 years ago

Neil has 3 partially full cans of white paint. They contain 1/3 gallon, 1/5 gallon and 1/2 gallon of paint. About how much paint

lorasvet [3.4K]

Answer:

31/30 or 1 1/30

Step-by-step explanation:

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2 years ago