Answer:answer is a (x+8)^2=86
Step-by-step explanation:
x+8=±√
86
2 Break down the problem into these 2 equations.
x+8=\sqrt{86}x+8=√
86
x+8=-\sqrt{86}x+8=−√
86
3 Solve the 1st equation: x+8=\sqrt{86}x+8=√
86
.
x=\sqrt{86}-8x=√
86
−8
4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√
86
.
x=-\sqrt{86}-8x=−√
86
−8
5 Collect all solutions.
x=\sqrt{86}-8,-\sqrt{86}-8x=√
86
−8,−√
86
−8
x
2
+16x−22=0
2 Use the Quadratic Formula.
x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=
2
−16+2√
86
,
2
−16−2√
86
3 Simplify solutions.
x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√
86
,−8−√
86
Answer:
B) Only (-3, 5)
Step-by-step explanation:
Slot in the options into the equation
(-2, 4),
Compare with (x, y)
x = -2, y =4
y =-3x - 4
4 =( -3 * -2 ) - 4
4 = 6 - 4
This is not true hence, option A is wrong
Using (-3, 5)
x = -3, y= 5
5 = (-3*-3) - 4
5 = 9 - 4
This is correct hence, option B is correct
Option c is wrong because (-2,4) is not a solution to the equation
Option D is wrong because option B is correct
Answer:
9
Step-by-step explanation:
"For each nickel, she has one dime"
That means she has the same number of nickels and dimes.
"for each dime she has one quarter"
That means she has the same number of quarters and dimes.
She has the same number of each coin.
Let's say she has x coins of each type.
The nickels are worth 0.05x; the dimes are worth 0.10x. The quarters are worth 0.25x. Altogether, the coins are worth
0.05x + 0.10x + 0.25x
We are told her coins are worth $1.20, so we set those two amounts equal and solve for x.
0.05x + 0.10x + 0.25x = 1.20
0.40x = 1.20
x = 1.20/0.40
x = 3
She has 3 coins of each type. Since there are 3 types of coins, she has 9 coins.
Answer:
its 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
1). 7x - 2y = 5 , A = 7 , B = 2 , C = 5
2). 4x - y = 1 , A = 4 , B = - 1 , C = 1
3). 5x - 2y = 3 , A = 5 , B = - 2 , C = 3
4). 4x - 3y = 3 , A = 4 , B = - 3 , C = 3
5). 2x + y = 15 , A = 2 , B = 1 , C = 15
