Answer:
x=12
Step-by-step explanation:
The two angles are equal to 180 degrees, we already know that one angle is 110, so we find the difference.
180-110=70
4x+22=70
70-22=48
48/4=12
Answer:
Step-by-step explanation:
a² - b² = (a + b) (a - b)
1)x² - 36 = x² - 6² = (x + 6)(x-6)
2) 4x² - 16 = 4x² - 4*4 = 4(x² - 4)
= 4(x² -2²)
= 4(x + 4)(x-4)
3) 9x² -1 = 3²x² - 1² = (3x)² - 1²
=(3x + 1)(3x - 1)
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Answer:

The exponent is 2.
Step-by-step explanation:
Remember multiplicity rules:
- If a factor has an odd multiplicity (e.g. it is raised to 1, 3, 5...) then it will cross the x-axis.
- If a factor has an even multiplicity (e.g. it is raised to 2, 4, 6...) then it will bounce off the x-axis.
At x=2, we have the factor (x-2).
From the graph, we can see that the graph bounces off at that point.
Hence, the multiplicity of (x-2) must be even.
Therefore, a possible exponent for the factor (x-2) is 2. Any even number will suffice.
Answer: The last option.
Step-by-step explanation:
The triangle shown in the figure attached is a right triangle.
1. You can calculate the lenght <em>a </em>as following:


Substitute values and solve for <em>a</em>. Then, you obtain:

2. You can calculate the lenght<em> b </em>as following:


Substitute values and solve for <em>b</em>. Then, you obtain:

