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Alisiya [41]
3 years ago
7

I need help with question 2-4

Mathematics
1 answer:
Tresset [83]3 years ago
5 0
Question 2 is 250  idk about 4

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What are the four points of intersection between 4x^2 + y^2 - 4y - 32 = 0 and x^2 - y - 7 = 0 ? Solve algebraically
tensa zangetsu [6.8K]
Remember (a²-b²)=(a-b)(a+b)

solve for  a single variable
solve for y in 2nd

add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton

4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero

x-3=0
x=3

x+3=0
x=-3

x-√5=0
x=√5

x+√5=0
x=-√5


sub back to find y

(x²-7)=y

for x=3
9-7=2
(3,2)

for x=-3
9-7=2
(-3,2)

for √5
5-7=-2
(√5,-2)

for -√5
5-7=-2
(-√5,-2)


the intersection points are

(3,2)
(-3,2)
(√5,-2)
(-√5,-2)
8 0
4 years ago
Pleaseee help me which one is it????
AURORKA [14]

Answer:

it is definitely negative, i think it is -3/2

Step-by-step explanation:

is there a better picture of the graph?

5 0
3 years ago
What is the surface area of this rectangular prism?
dybincka [34]

Answer:

256 ft²

Step-by-step explanation:

4 lateral faces + 2 bases

The total area

=2 \times (12 \times 4) + 2 \times (12 \times 5) + 2 \times (5 \times 4)

= 96 + 120 + 40

= 256

3 0
3 years ago
Which of the following are exterior angles? Check all that apply.
scoundrel [369]

Answer:<2 and <3 are the two angles that are exterior angles!

Step-by-step explanation:

Hope this helped!

<!> Brainliest is appreciated! <!>

3 0
3 years ago
Read 2 more answers
A table is going to be painted. How much less surface area of the table will be painted if the underside remains unpainted? leng
STALIN [3.7K]
440 will be remained out of 880
7 0
4 years ago
Read 2 more answers
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