Answer:
The equation of the line would be y = 1/5x + 6
Step-by-step explanation:
First, to find the slope of a perpendicular line, you need to find the opposite and reciprocal of the original slope. Since the original is -5, we first change the sign (which makes it just 5). Now we take that 5 and flip it to get 1/5.
Now that we have the slope as 1/5, we can use that and the intercept in slope-intercept form to get the equation.
y = mx + b
y = 1/5x + 6
Answer:
C:
Step-by-step explanation:
Both angles add up to 180°
<BCG + <BFG = 180°
2x+146+4x+238=180
6x+384 = 180°
6x = 180-384
6x = -204
Dividing both sides by 6
x = -34
Too add mixed numbers, first convert them to improper fractions:
34/5 + 53/10
Next, find a common denominator, which in this case is 10.
Convert 34/5 so that it has a denominator of 10 by multiplying the ENTIRE fraction by 2: 68/10
68/10 + 53/10 = 121/10
You can either give your answer in the form of an improper fraction: 121/10, or a mixed number 12 1/10
You can use the identity
cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.
(1/4)² +sin(x)² = 1
sin(x)² = 1 - 1/16
sin(x) = ±(√15)/4
Then the tangent can be computed as the ratio of sine to cosine.
tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
tan(x) = ±√15
There are two possible answers.
In the first quadrant:
sin(x) = (√15)/4
tan(x) = √15
In the fourth quadrant:
sin(x) = -(√15)/4
tan(x) = -√15
Answer:
g²/f⁷h
Step-by-step explanation:
Because f⁹-f²=f⁷ which leaves f⁷ on the bottom, g³-g=g² which leaves g² on the top, and h⁵-h⁴=h which leaves h on the bottom.
