Assuming that the triangle is a right triangle, we can reverse engineer the Pythagorean theorem (a^2+b^2=c^2).
60^2 + x^2 = 61^2
3600 + x^2 = 3721
x^2 = 3600 - 3721
x^2 = 121
x = sqrt121
x = 11
The answer would be D Graph b.
Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
5x - 11 = 3x + 5
Step 2: Solve for <em>x</em>
<u>Subtract 3x on both sides:</u> 2x - 11 = 5
<u>Add 11 to both sides:</u> 2x = 16
<u>Divide both sides by 2:</u> x = 8
Step 3: Check
<em>Plug in x to verify it is a solution.</em>
5(8) - 11 = 3(8) + 5
40 - 11 = 24 + 5
29 = 29
The expression for g(x) is wrong, you skipped some signs and, apparentely, some parentheses. The rigtht expression for g(x) should be g(x) = 3(x+1) + 4. Note that g(x) = 3(x+1) + 4 it is the same that f(x+1) + 4. When you add a number to the argument, the graph of function is shifted that number of units to the left; and when you add a number to the function the graph shifts that number of units up. Therefore, the steps that will translate f(x) = 3x to g(x) = 3(x+1) + 4 is shift f(x) one unit to the left and four units up.
For the answer to the question on w<span>hich steps will translate f(x) = 3x to g(x) = 3x + 1 + 4? The answer to this question is
</span>f(x) = 3x one unit to the left and four units up
