Answer:
(4.2 X 10,000) X (2 X 1,000)
42,000 X 2,000= 84,000,000
Step-by-step explanation:
Hope this helps
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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-4y+2=2y-6
-2y -2-2y -2
-6y =-8
divide by -6
y= 1 1/3
Answer:
(y - 4)² = 12(x - 5)
Step-by-step explanation:
the vertex and focus lie on the principal axis y = 4
The focus is inside the parabola to the right of the vertex
This is therefore a horizontally opening parabola
with equation
(y - k)² = 4p(x - h)
where (h, k) are the coordinates of the vertex and p is the distance from the vertex to the focus/ directrix
here p = 8 - 5 = 3
The directrix is vertical and to the left of the vertex with equation x = 2
From any point (x, y) on the parabola the focus and directrix are equidistant
using the distance formula, then
= | x - 2 |
squaring both sides
(x - 8)² + (y - 4)² = (x - 2)²
(y - 4)² = (x - 2)² - (x - 8)² = x² - 4x + 4 - x² + 16x - 64 = 12x - 60
(y - 4)² = 12(x - 5) ← equation of parabola