Answer:
The values of a and b are 1 and -8
Step-by-step explanation:
Let us solve the question by comparing the two sides.
∵ x² + 2x - 7 = (x + a)² + b
→ Let us solve the bracket on the right side
∵ (x + a)² = (x)(x) + 2(x)(a) + (a)(a)
∴ (x + a)² = x² + 2ax + a²
→ Substitute it in the right side above
∴ x² + 2x - 7 = x² + 2ax + a² + b
→ Compare the like terms on both sides (terms of x², terms of x
and numerical terms)
∵ The terms of x are 2x and 2ax
→ Equate them
∵ 2x = 2ax
→ Divide both sides by 2x
∴ =
∴ 1 = a
∴ The value of a = 1
∵ The numerical terms are -7 and a² + b
→ Equate them
∵ -7 = a² + b
→ Substitute a by 1
∴ -7 = (1)² + b
∴ -7 = 1 + b
→ Subtract 1 from both sides
∵ -7 - 1 = 1 - 1 + b
∴ -8 = b
∴ The value of b = -8
∴ The values of a and b are 1 and -8
Answer: m=−y+3−x+2
x=2m+y−3m
Step-by-step explanation:
m(2−x)=3−y
Step 1: Factor out variable m.
m(−x+2)=−y+3
Step 2: Divide both sides by -x+2.
m(−x+2)−x+2=−y+3−x+2
m=−y+3−x+2
__________________________________________________
m(2−x)=3−y
Step 1: Add -2m to both sides.
−mx+2m+−2m=−y+3+−2m
−mx=−2m−y+3
Step 2: Divide both sides by -m.
−mx−m=−2m−y+3−m
x=2m+y−3m
Answer:
1
Step-by-step explanation:
The cone is sliced by a plane, which produces a smaller cone on top. This cone is similar to the original cone. Therefore:
R / H = r / h
2 / 8 = r / 4
r = 1
4 pm, who goes to soccer at 4 am
Your fuel expense is said to be $800.00 last year which is your annual total. And this year the expense jumped up to $960.00. So we need to solve for the percentage increased of your fuel expense last year to this year. => 960 dollars - 800 dollars = 160 dollars=> 160 dollars / 800 dollars = 0.2 => 0.2 * 100% = 20% is the increased of your fuel expense.
So your answer is 20%.
Hope this helps!
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