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elena-s [515]
3 years ago
8

PLZ HELP ASAP Geometry help: 2x^2 + 2y^2 - 8x +10y +2=0

Mathematics
1 answer:
Alexxx [7]3 years ago
6 0
Ok so this is conic sectuion
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

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alekssr [168]

Answer:

The width of the window should be 7.6\ ft and the height of the window should be 3.8\ ft

Step-by-step explanation:

we know that

The circumference of a semicircle (window) is equal to

C=\pi r

we have that

C=12\ ft

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substitute and solve for r

12=(3.14)r

r=12/3.14=3.8\ ft

so

the width of the window is equal to the diameter of the semicircle

so

The width of the window should be 3.8*2=7.6\ ft and the height of the window should be 3.8\ ft

4 0
3 years ago
What is 1,260 round to the nearest 100
DanielleElmas [232]

Answer:

1,300 is your answer! :)

6 0
3 years ago
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GaryK [48]

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thanks?

Step-by-step explanation:

6 0
2 years ago
Nadine bought 5 quarts of oil for her car. <br><br> How many fluid ounces is that?
DochEvi [55]
There are 160 fluid ounces in 5 quarts. Because there are 32 fluid ounces in 1 quart multiply that by 5 and you get 160. Your welcome!!!
6 0
3 years ago
In a city school, 70% of students have blue eyes, 45% have dark hair, and 30% have blue eyes and dark hair. What is the probabil
Travka [436]

<u>Answer:</u>

The correct answer option is 43%.

<u>Step-by-step explanation:</u>

We are given that 70% of students have blue eyes, 45% have dark hair, and 30% have blue eyes and dark hair.

We are to find the probability of a student getting selected will have dark hair with blue eyes.

P(D|B) = P(D∩B) / P(B)

Substituting the given values in it to get:

P(D|B) = 0.3 / 0.7 = 0.428

Rounding it to the nearest whole percent we get:

0.428 × 100 = 42.8% ≈ 43%

4 0
3 years ago
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