Answer:
#7. JK = 1
Step-by-step explanation:
So all these problems are similar in the fact that you are given three pieces of information and you need to determine x. Let's look at #7.
We are to find the length JK but we are given it in terms of x. To find the length, we need to find x. Using the information we have about KL and JL, we can find this. Note, the value of JL is 5, and the value of KL is x + 8.
JK + KL = JL
( 2x + 9 ) + ( x + 8 ) = 5
3x + 17 = 5
3x = -12
x = -4
Now that we have the value of x, we can find the value of JK:
JK = 2x + 9
JK = 2(-4) + 9
JK = -8 + 9
JK = 1
Hence, the length of JK is 1.
Using this same basic idea, you can solve all of these problems.
Cheers.
Answer:
0.002
Step-by-step explanation:
Know about the following<span> topics. </span>1<span>. Converse of Pythagorean Theorem. </span>2. 45-45-<span>90 </span>Right Triangles<span>. </span>3<span>. 30-60-90 </span>Right Triangles<span>. </span>4<span>. Tangent Ratio. </span>5. Sine Ratio. 6<span>. ... </span>Check<span> to see whether the </span>side lengthssatisfy the equation c2. = a2 + b2. (√113)2<span> = 72 + 82. 113 = 49 + 64. 113 = 113 </span>✓<span>. </span>7<span>. 8. √113 ? ? The triangle is a.</span>
For this case we have the following difference equation:

Applying separable variables we have:

Integrating both sides we have:

applying exponential to both sides:

For y (1) = 1 we have:

Thus, the particular solution is:

Whose domain is all real.
Answer: y = 0.2 * exp ((3/2) x ^ 2) Domain: all real numbers