I think the answer would be 16, Hope this helps
9514 1404 393
Answer:
b. 9 inches
Step-by-step explanation:
The area of a triangle is given by ...
A = 1/2bh
Solving for h, we get ...
h = 2A/b
h = 2(36 in²)/(8 in) = 72/8 in
h = 9 in
The height of the triangle is 9 inches.
Linear equations are all solved the same way. Figure out the operations performed on the variable. Undo those in reverse order.
Here, the variable is
- divided by 2
- has -7 added.
In reverse order, we undo these operations by
- adding 7
- multiplying by 2.
Whatever we do to one side of an equation, we must also do to the other side. That is how the equal sign remains valid.
2 = m/2 -7
2 +7 = m/2 -7 +7 . . . . . add 7
9 = m/2 . . . . . . . . . . . . simplify
2*9 = 2*m/2 . . . . . . . . multiply by 2
18 = m . . . . . . . . . . . . . simplify. (You know that 2/2 = 1, and m*1 = m.)
The answer is m = 18.
_____
Check:
.. 2 = 18/2 -7
.. 2 = 9 -7 . . . . . . . true. The answer checks OK.
Answer:
x⁴ + x³ + 4x² - 5x
Step-by-step explanation:
The polynomials given in the question are:
x⁴ - 3x + 1
4x² - 2x + 8
x³ - 9
We have to add all them
First write all the polynomial in the summation form:
(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)
Open the brackets:
x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9
Group together the similar terms
(x⁴) + (x³) + (4x²) + (-3x -2x) + (1 + 8 - 9)
Finding the sum in brackets:
x⁴ + x³ + 4x² + (-5x) + (0)
x⁴ + x³ + 4x² - 5x
Note that the sum is in descending powers of x
The probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 is 0.4179.
<h3>How to calculate probability?</h3>
The probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 will ba calculated thus:
= [(9C6 /12C9) × 1/2] + [(9C7)/12C10) × 1/2]
= 42/220 + 18/66
= 0.1909 + 0.2727
= 0.4179
In conclusion, the probability is 0.4179.
Learn more about probability on:
brainly.com/question/24756209
