Answer:
a) x =3 and x=5
c) x =-1 and
i) x =0 and
Step-by-step explanation:
a)
Given that the quadratic equation
x² - 8x +15 =0
The factors of 15 = 5 × 3
x² - 5x -3x +15 =0
x(x -5) -3(x-5) =0
(x-3)(x-5) =0
x =3 and x=5
c)
3 x² + 10 x +7 =0
⇒ 3x² + 3x + 7x +7 =0
⇒ 3x (x +1) +7(x+1) =0
⇒ (x+1) ( 3 x +7) =0
⇒ x =-1 and
i)
2 x ² + 9 x =0
⇒ x( 2 x + 9) =0
⇒ x =0 and 2 x = -9
⇒ x =0 and
Answer:
Hungary
Step-by-step explanation:
Just did the question
Answer:
3/14 of an hour
Step-by-step explanation:
9 hours/42 dollars
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form: where m is the slope and b is the y-intercept (the value of y when x is 0)
- Parallel lines always have the same slopes
<u>1) Determine the slope (m)</u>
The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (2,4) to solve for b
Add 4 to both sides to isolate b
Therefore, the y-intercept of the line is 8. Plug this back into :
I hope this helps!
Answer:
108 cm²
Step-by-step explanation:
A = πr²
A = 3 * 6²
A = 3 * 36
A = 108
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-Chetan K