Answer:
x=-5.5
Step-by-step explanation:
-3(x+4)=(-x-1)
1. Distribute
-3x+(-12)=-x-1
2. Simplify
-3x-12=-x-1
-2x-12=-1
-2x=11
x=-11/2
x=-5.5
The length of extra cable that is required to connect the two pieces of existing cable is equal to 182 meters.
<h3>How to determine the length of extra cable?</h3>
In order to determine the length of extra cable that is required to connect the two pieces of existing cable, we would apply the law of cosine as follows:
B² = A² + C² - 2(A)(C)cosB
Substituting the given parameters into the formula, we have;
B² = 325.0² + 430.0² - 2(325.0)(430.0)cos23
B² = 105,625 + 184,900 - 279,500(0.9205)
B² = 290,525 - 257,279.75
B² = 33,245.25
B = √33,245.25
B = 182.33 ≈ 182 meters.
Read more on cosine law here: brainly.com/question/11000638
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2x-3+7x-10=32
9x-13=32
9x=32+13
9x=45
x=5
Answer:
120 cc yards of water
Step-by-step explanation:
A farmer has 1,000-acre farm. And she irrigates her fields with 120,000 cubic yards of water. We are asked to find how many cubic feet of water does she apply per acre?
1000 acre is irrigated by = 120000 cc yard of water
Hence 1 Acre is irrigated by
cc yards of water
Hence 1 Acre is irrigated by 120 cc yards of water .
Y=3(x+1)(x-5)
I'm going to ignore 3 for now, but will add it later.
FOIL the (x+1)(x-5)
F = multiply the First numbers x and x
O = multiply the Outside numbers x and -5
I = multiply the Inside number 1 and x
L = multiply the Last numbers 1 and -5
3(x^2 + -5x + 1x + -5)
add -5x and x
3(x^2 + -4x + -5)
multiply the numbers inside the parenthesis by 3
3x^2 + -12x + -15
