<span>24.54 cm ...............................</span>
Answer:
y = 1/2x - 14
Step-by-step explanation:
Parallel lines have the same gradient
So,
gradient for second line = gradient of the first line = 1/2
Also,
the line passes through (-6,-17)
So, we can find the y-intercept by substitution
y = mx + c
-17 = (1/2 * -6) + c
-17 = -3 + c
c = -14
So,
the equation is y = 1/2x - 14
Answer: x= - 3; y = -4
Step-by-step explanation:
-x + y = -7
<u>-3x - y = -5</u>
-4x = -12
x= -12 /- 4
x= - 3
-x + y = -7
-(-3) + y = - 7
3 + y = - 7
y = - 7 + 3
y = -4
-x + y = -7
-3 - 4 = - 7
- 7 = - 7
Answer: a) x = 5 or -1 b) x = √3+2
c) x = -1/2 or -3/2
Step-by-step explanation:
a) (x − 2)² = 9
First step is to take the square root of both sides to eliminate the square
√ (x − 2)² = √9
x-2 = +-3
x = +3+2
x = 5 and;
x = -3+2
x = -1
x = 5 or -1
b) 3(x-2)² = 9
First we divide both sides by 3 to get;
(x-2)² = 9/3
(x-2)² = 3
Second step is to take the square root of both sides to eliminate the square
√(x-2)² = √3
x-2 = √3
x = √3+2
c) 6 = 24(x+1)²
Dividing both sides by 24, we have
6/24 = (x+1)²
1/4 = (x+1)²
Taking the square root of both sides we have
√1/4 = √(x+1)²
= +-1/2 = x+1
x = +1/2-1 = -1/2 and;
x = -1/2-1 = -3/2
x = -1/2 or -3/2
Answer:
80
Step-by-step explanation:
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