Answer:
In the attachment
Step-by-step explanation:
<, > - dots line
≤, ≥ - solid line
<, ≤ - shading to the left
>, ≥ - shading to the right
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We have x > -2
dot line x = -2
shading to the right
Answer:
50 golf balls
Step-by-step explanation:
200/4 is 50. I did that because it says the golf balls are DIVIDED into 4 smaller buckets.
To check the answer you do 50 times four.
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Answer:
first group x's with x's and y's with y's
then complete the squra with x's and y's
2x^2-8x+2y^2+10y+2=0
2(x^2-4x)+2(y^2+5y)+2=0
take 1/2 of linear coeficient and square
-4/2=-2, (-2)^2=4
5/2=2.5, 2.5^2=6.25
add that and negative inside
2(x^2-4x+4-4)+2(y^2+5y+6.25-6.25)+2=0
factor perfect squares
2((x-2)^2-4)+2((y+2.5)^2-6.25)+2=0
distribute
2(x-2)^2-8+2(y+2.5)^2-12.5+2=0
2(x-2)^2+2(y+2.5)^2-18.5=0
add 18.5 both sides
2(x-2)^2+2(y+2.5)^2=18.5
divide both sides by 2
(x-2)^2+(y+2.5)^2=9.25
that is a circle center (2,-2.5) with radius √9.25
These angles are supplementary, meaning that their sum should be 180.
Write an equation.
5x+110=180
5x+110-110=180-110
5x=70
x=14
To find the angle measure,
multiply 5 by 14.
5 x 14= 70
To check:
70+110=180
Therefore, the variable has a value of 14.