A) 4*3 x 5*2
b) 9*4 x 7*2
c) 3 x 7*4
d) 2*2 x 9*4
8*5
Answer:
x = 4 and -10
Step-by-step explanation:
Given the equation
x²+6x-40= 0
The common factors to use for the factorisation are +10 and -4
x²+(10x-4x)-40=0
(x²+10x)-(4x-40) = 0
x(x+10)-4(x+10) = 0
(x-4)(x+10) = 0
x-4 =0 and x+10 = 0
x = 4 and x = -10
Answer:
≈ 9.6 units
Step-by-step explanation:
<em>Refer to attachment</em>
The diagonal d is the hypotenuse of right triangle with sides of 5 and a
The line a is the hypotenuse of the right triangle with the sides of 2 and 8.
<u>So, as per Pythagorean theorem:</u>
- d² = 5² + a²
- d²= 5² + 2²+ 8² = 25 + 4 + 64 = 93
- d² = 93
- d = √93
- d ≈ 9.6 units (rounded to the nearest tenth)
1) Sundaes - $2 ; Banana Splits - $3
3x + 2(x+8) = 156
3x + 2x + 16 = 156
5x = 156 - 16
5x = 140
x = 28 banana split ; x + 8 = 28 + 8 = 36 sundaes
2) Palanzio's = 6.80 + 0.90x ; Guido's = 7.30 + 0.65x
6.80 + 0.90x = 7.30 + 0.65x
0.90x - 0.65x = 7.30 - 6.80
0.25x = 0.50
x = 2 number of toppings.
6.80 + 0.90x = 7.30 + 0.65x
6.80 + 0.90(2) = 7.30 + 0.65(2)
6.80 + 1.80 = 7.30 + 1.30
8.60 = 8.60
3) 6x - y = 4 ; y = 4x + 2
6x - (4x+2) = 4
6x - 4x - 2 = 4
2x = 4 + 2
2x = 6
x = 6/2
x = 3
y = 4x + 2
y = 4(3) + 2
y = 12 + 2
y = 14
6x - y = 4
6(3) - 14 = 4
18 - 14 = 4
4 = 4
