Answer:
(-4,2) belongs in this direct variation.
Step-by-step explanation:
Let the direct variation relationship is expressed by the equation y = mx ........ (1), where x and y are in direct variation and k is the variation constant.
Now, the point (4,-2) is included in the direct variation relationship, then from equation (1) we get, -2 = 4m
⇒
Therefore, the equation (1) becomes
⇒ x + 2y = 0 ......... (2)
Now, from the given four options only the point (-4,2) satisfies the relation (2).
Hence, (-4,2) belongs in this direct variation. (Answer)
Answer:
just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5
Step-by-step explanation:
x - 2 = y 3
and so on
The meaning of the question is
Let the unknown number be x
Therefore x+7=16-2x
Now 2x+x=16-7
3x=9
X=9/3
x=3
10,15 in the simplest form is 2,3
Answer:

Step-by-step explanation:
We know that r and s have a combined length of 70. Therefore:

Notice that we can determine r by using the Pythagorean Theorem. In this case, r is the hypotenuse, and 20 and 8 are the legs. Therefore:

Substituting 20 and 8 for a and b and r for c yields:

Compute:

Therefore:

Now, we can determine s. We know that:

So, by substitution:

Therefore:

Now, notice that, with respect to x, 20 is the opposite side and s is the hypotenuse.
Therefore, we can use the sine ratio. The sine ratio is the ratio between a right triangles opposite side to its hypotenuse.
In this case, the opposite to x is 20, and the hypotenuse is s, or 70-4√29. Therefore:

By substitution:

Take the inverse sine of both sides:

Use a calculator. Therefore:
