Answer:
x = 16 or -2
Step-by-step explanation:
If both lines are congruent, their magnitudes are equal.
To find the magnitude of a line, the equation to use is;
D = √(x2-x1)^2 + (y2-y1)^2
So for AB, we have
D = √(-2 + 11)^2 + (5 + 3)^2
D = √81 + 64 = √145
For the second line
The distance would be;
D = √x-7)^2 + (9-1)^2
D = √(x-7)^2 + 8^2
Equate both magnitude
√145 = √(x-7)^2 + 64)
Simply remove the square roots on both sides
145 = 64 + (x - 7)^2
145 -64 = (x -7)^2
81 = (x-7)^2
Thaw the square root of both sides
x - 7 = 9
or x -7 = -9
x = 9 + 7 or x = -9 + 7
x = 16 or -2
Quarterly payment (before Svc Chg): PV 35,125, N 40, R 1.86% computes to Annuity of 1,252.70
Total paid (1,252.70 x 40) 50,108 - 35,125 = 14,983 Interest paid + 5,180.70 Svc Chg = 20,163.70, of which Svc Chg was 25.69%
1 ounce = 0.125 cups
Multiply:
56 * 0.125 = 7
So there are 7 cups in 56 ounces.
Answer:
3x+24 more widgets
Step-by-step explanation:
A company owns two manufacturing plants:
1st plant: 8x+17 widgets;2nd plant: 5x-7 widgets.
To find how many more items the first plant produces daily than the second plant, we have to subtract from the number of widgets the first plant produces the second plant produces. So,
(8x+17)-(5x-7)\\ \\=8x+17-5x+7\ [\text{Eliminate brackets}]\\ \\=(8x-5x)+(17+7)\ [\text{Combine the like terms}]\\ \\=3x+24
hope this helps!
Step-by-step explanation:
Hi there!
First you simplify.
Simplified = 9x+(−5)+(−8)+x
Then you combine the like terms.
<span><span><span><span><span>9x</span>+(<span>−5)</span></span>+(<span>−8)</span></span>+x (*-5 and -8 are like terms) (9x and x are like terms)
</span></span><span><span><span>Combined it's~ (<span><span>9x</span>+x</span>)</span>+<span>(<span><span>−5</span>+<span>−8</span></span>)
</span></span></span><span><span><span>Solve and that comes to 10x</span>+<span>−<span>13 which is your answer. :)
Hope this helps.
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