The angle measurements in the diagram are represented by the following expressions. ZA = 8 +6° B = 4x +38° Solve for x and then
1 answer:
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Answer:
1) x ≤ 2 or x ≥ 5
2) -6 < x < 2
Step-by-step explanation:
1) We have x^2 - 7x + 10, so let's factor this as if this were a regular equation:
x^2 - 7x + 10 = (x - 2)(x - 5)
So, we now have (x - 2)(x - 5) ≥ 0
Let's imagine this as a graph (see attachment). Notice that the only place that is above the number line is considered greater than 0, and that's when x ≤ 2 or x ≥ 5 (the shaded region).
2) Again, we have x^2 + 4x - 12, so factor this as if this were a regular equation:
x^2 + 4x - 12 = (x + 6)(x - 2)
So now we have (x + 6)(x - 2) < 0
Now imagine this as a graph again (see second attachment). Notice that the only place that is below 0 (< 0) is when -6 < x < 2 (the shaded region).
Hope this helps!
Answer:
√5 + π = 537766063.1 ×
Step-by-step explanation:
given data
√5 ≈ 2.2360679775
π ≈ 3.1415926535
to find out
√5 + π
solution
√5 + π = 2.2360679775 + 3.1415926535
√5 + π = 5.3776606310
√5 + π = 5.3776606310 ×
√5 + π = 537766063.1 ×
Answer:
y = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° =
sin45° = =
Multiply both sides by y
y × sin45° = 9, that is
y × = 9
Multiply both sides by
y = 9