The distance between points M and N according to the task content is; 9.8 meters.
<h3>What is the distance between points M and N?</h3>
From observation of the task content information; it can be deduced for a fact that the line segment MN which joins points M and N is parallel to the line JK. This follows from the fact that M and N are midpoints KL and JL respectively.
Hence, it follows that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality;
NM/19.6 = 7.4/(2×7.4)
NM = 19.6/2 = 9.8 meters.
This follows from congruence theorems in which case, the ratio of corresponding sides of congruent triangles are equal.
Read more on congruent triangles;
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Answer:
Step-by-step explanation:
Step 1. Switch sides.
Step 2. Since the fraction 1/2 multiplies b, multiply both sides by the reciprocal of 1/2 which is 2.
Step 3. Since h is multiplying b, and you want b alone, divide both sides by h.
Answer:
I think you mean to say
. If
is in the third quadrant, then
and
. Recall that
We expect
to be negative, so we take the negative root. We end up with
We also know to expect
, so
By definition, we have
and so
Answer:
A, D, E
Step-by-step explanation:
Just took the test.
F(x) = x² + 4x - 12
x = -b/2a
x = -(4)/2(1)
x = -4/2
x = 2
f(x) = x² + 4x - 12
f(2) = (2)² + 4(2) - 12
f(2) = 4 + 8 - 12
f(2) = 12 - 12
f(2) = 0
The vertex of the function is (2,0).
