Answer:
7(2+x)(2-x)
Step-by-step explanation:
Both terms are perfect squares,use the difference of square formulas
a^2-b^2=(a+b)(a-b) where a=2 and b=x
Answer:
Cost of small box = $13
Cost of large box = $18
Step-by-step explanation:
Let the cost of small box of candy = $s
And the cost of large candy box = $b
Beth sold 9 small and 10 large boxes of candies for $297.
9s + 10b = 297 -----(1)
Sarah sold 8 small and 5 large boxes of candies for $194.
8s + 5b = 194 -------(2)
Multiply equation (2) by 2 then subtract equation (1) from (2).
2(8s + 5b) - (9s + 10b) = (2×194) - 297
16s + 10b - 9s - 10b = 388 - 297
7s = 91 ⇒ s = $13
From equation (2),
(8×13) + 5b = 194
104 + 5b = 194
5b = 90
b = $18
Answer:
The object will accelerate upwards.
Step-by-step explanation:
If you have two opposite forces acting on an object, the stronger one will be expressed. In this case, since 300N is upwards and 200N is downwards, 100N of upward force will be expressed.
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
radius = √98
center = (5.9,6.7)
equation of the circle = ?
Step 02:
Equation of the circle
(x - a) ² + (y - b) ² = r ²
(a , b) = center
(x - 5.9) ² + (y - 6.7) ² = (√98) ²
(x - 5.9) ² + (y - 6.7) ² = 98
The answer is:
(x - 5.9) ² + (y - 6.7) ² = 98
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Collect like terms
Subtract sides 35
Divide sides by 25
Thus ;
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