<h3>
Answer: -4/3</h3>
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Explanation:
Let's square both sides and do a bit of algebra to get the following.
Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25
This then means tan(2x) = sin(2x)/cos(2x) = 24/7.
From here, you'll use this trig identity
which is the same as solving
where w = tan(x)
Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4
So either tan(x) = -4/3 or tan(x) = 3/4.
If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.
Since tan(x) < 0 in this case, we go for tan(x) = -4/3
Answer:
Lenne=10 Gilberto=10 Alana=7.50
Step-by-step explanation:
Answer:
x = -1, and y = -2, giving you the answer (-1, -2)
Step-by-step explanation:
In the second equation, we're told that y is equal to 2x. With that, we can replace "y" in the first one with "2x", giving us:
-4x - 2x = 6
-6x = 6
x = -1
Now that we know the value of x, we can simply plug it into the first equation to find y:
-4x - y = 6
-4(-1) - y = 6
4 - y = 6
-4 + y = -6
y = -6 + 4
y = -2
So x = -1, and y = -2
Answer:
a = -2
Step-by-step explanation:
7a + 10 = 2a
subtract 7a from each side
7a-7a+10 = 2a-7a
10 = -5a
divide by -5
10/-5 = -5a/-5
-2 = a
check
7 (-2) +10 = 2(-2)
-14 + 10 = -4
-4 = -4
Answer:
°
Step-by-step explanation:
For the upper left angle, we know that they are supplementary, so we can find the first angle of the triangle by
For the bottom right angle, we know that they are supplementary, so we can find that angle by
As a triangle has 180 degrees, we can subtract the values of the other two angles to find the final upper right angle.
Lastly, The upper right angle and x are supplementary so we can find x by subtracting the angle from 180
