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Alenkinab [10]
3 years ago
12

Solve -4(3x-7) =40 for x

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0

Answer:

x = -1

Step-by-step explanation:

-4(3x-7) =40

Divide each side by -4

-4(3x-7)/-4 =40/-4

3x-7 = -10

Add 7 to each side

3x-7+7 = -10+7

3x = -3

Divide each side by 3

3x/3 = -3/3

x = -1

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A ship travels 62 km on a bearing of 12 degrees, and then travels on a bearing of 102 degrees for 111 km. Find the distance from
Zigmanuir [339]
A bearing is an angle measured from the North.

The diagram should be something like that given above. (Note that the angles may not be measured accurately).

The diagram is drawn as follows:
1. The ship travels on a bearing of 12 degrees from the North line first so measure 12 degrees from the North line.
2. Then from that point, after it travels 62 km, the ship goes on a bearing of 102 degrees so draw another imaginary north line, and measure 102 degrees from it.

The diagram now takes shape of a triangle. Use the cosine rule to find the missing side (marked x km). Here is how I do the cosine rule:

First find the missing angle at the top of the triangle: 180 - 102 = 78 degrees. (Angles on a straight line add up to 180 degrees)

So, remember this formula:

Suppose the missing side is: c^2.

c^2 = a^2 + b^2 - (2ab cosC)

If you look at the diagram above, the angle C and the sides a, b, and c have been marked.

Use the formula given above and find the side c (that's the question you have been asked).

c^2 = 62^2 + 111^2 - (2(62)(111) cos 78)

c^2 = ANS (a very long number - better if you don't round off a number in the middle of an equation)

c = square root of ANS (following the rules of Algebra)

c = 115.34 km or simply 115 km

So the distance between the starting point to the end of the trip is 115 km.

3 0
3 years ago
Can y’all help me with this plzzzz
Leviafan [203]

Answer:

the answer is 1080 so yea

6 0
3 years ago
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Simplify <br> 4y + 7x + 16y – 12x
vredina [299]
-5x + 20y
That is the answer, I would like brainliest please
5 0
2 years ago
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In the coordinate plane, point A(-1,-1) is translated to point A' (-3.-3). Under the same translation, the points B(-4,-4) and C
Nat2105 [25]

Answer:

B' (- 6, - 6 ) , C' (- 7, - 7 )

Step-by-step explanation:

Consider the coordinates of A and A'

A (- 1, - 1 ) , A' (- 3, - 3 )

- 1 to - 3 in both the x and y direction means subtracting 2 units , then

translation rule is

(x, y ) → (x - 2, y - 2 ) , then

B (- 4, - 4 ) → B' (- 4 - 2, - 4 - 2 ) → B' (- 6, - 6 )

C (- 5, - 5 ) → C' (- 5 - 2, - 5 - 2 ) → C' (- 7, - 7 )

3 0
3 years ago
Which is the graph of the cube root function f(x) = RootIndex 3 StartRoot x EndRoot?
lara [203]

Answer:

<h3>On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).</h3>

Step-by-step explanation:

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7 0
3 years ago
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