The midpoint lines are half the opposite side length.
Line DE is given as 7 , So Line F = 7 x 2 = 14
Line EF is given as 12, so Line D = 12 x 2 = 24
Line DF is given as 16, so line E = 16 x 2 = 32
The perimeter is the sum of the 3 sides:
Perimeter = 14 + 24 + 32 = 70
9514 1404 393
Answer:
x ≈ -4.9
Step-by-step explanation:
There are no algebraic methods for solving this equation. The solution is nicely found by a graphing calculator.
x ≈ -4.9
_____
Using iterative techniques, the calculator can give an answer to the full precision available. It is ...
x ≈ −4.91733286844
Solve for x:
2 (6 - x) = x (x + 5)
Expand out terms of the left hand side:
12 - 2 x = x (x + 5)
Expand out terms of the right hand side:
12 - 2 x = x^2 + 5 x
Subtract x^2 + 5 x from both sides:
-x^2 - 7 x + 12 = 0
Multiply both sides by -1:
x^2 + 7 x - 12 = 0
x = (-7 ± sqrt(7^2 - 4 (-12)))/2 = (-7 ± sqrt(49 + 48))/2 = (-7 ± sqrt(97))/2:
Answer: x = (-7 + sqrt(97))/2 or x = (-7 - sqrt(97))/2
The logarithm :
÷
= 4.
<h3>What is logarithm?</h3>
- Logarithm, the exponent or electricity to which a base should be raised to yield a given number.
- Expressed mathematically, x is the logarithm of n to the bottom b if b^x = n, wherein case one writes x = log_b n.
- Logarithms are described because the answers to exponential equations and so are nearly beneficial in any scenario in which one wishes to remedy such equations (together with locating how lengthy it's going to take for a populace to double or for a financial institution stability to attain a given fee with compound interest).
- A logarithm is the electricity to which a number of should be raised so that it will get a few different number.
- For example, the bottom ten logarithm of a hundred is 2, due to the fact ten raised to the electricity of is a hundred: log(100) = 2.
To learn more about logarithm from the given link:
brainly.com/question/28346542
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To turn 105.6% into a decimal, we can remove the percent sign and divide by 100.
105.6 ÷ 100 = 1.056
Therefore, 105.6% can be written as the decimal 1.056.