Answer:
(5, 1) and (-5, -7)
Step-by-step explanation:
Given the simultaneous equations
x^2– y^2 = 24 .... 1
x= 3 + 2y .... 2
Substitute 2 into 1
(3-2y)^2-y^2 = 24
Expand
9 - 12y + 4y^2 - y^2 = 24
9 - 12y + 3y^2 = 24
3y^2 - 12y + 9-24 = 0
3y^2 -12y -15 = 0
y^2-4y-5 = 0
y^2+5y - y - 5 = 0
y(y+5) - 1 (y+5) = 0
y-1 = 0 and y+5 = 0
y = 1 and -5
Substitute the values of y into 2
Recall that x = 3+3y
when y = 1
x = 3 + 2(1)
x = 5
when x = -5
x = 3 + 2(-5)
x = 3 - 10
x = -7
Hence the solutions are (5, 1) and (-5, -7)
Answer:
b. 63
Step-by-step explanation:
A Parallelogram is known to be a flat shape quadrilateral which has four opposite sides Each two opposite sides are parallel and are equal in length. The opposite angles are equal.
The above answer is correct because opposite angles of a parallelogram are equal:
m∠CDA = m∠ABC
where m∠CDA = 63
∴ m∠ABC = 63 (answer)
nt / (n+t)
substitute n=15 and t=7
(15*7)/(15+7)
105/22
22 goes into 105 4 times with 17 left over
4 17 /22
Okay, so to start you off, try to write an equation, like 5x+6=21. Then, subtract the 6 to both sides of the equal sign. This gets you 5x=15. At this point, divide the five on both sides. This will then get you x=3. I hope that that was what you were looking for. Have a great day!!!!!
I got it!! Ok are you ready to work on this problem???
