Answer:
The equation of the line would be D) y - 7 = -3(x -5)
Step-by-step explanation:
In order to find this, we must first start with the base form of point-slope form.
y - y1 = m(x - x1)
Now we put the slope in for m and the point in for (x1, y1)
y - 7 = -3(x - 5)
Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
Answer:
y=7
Step-by-step explanation:
Since y "b" of the triangle is x and the hypotenuse is 2x, you can divide 14 by 2 and get 7, the answer.
9 sq. in because each side is 3 inch and area is length x width. each side is e inch so 3x3=9 sq in.
Answer:
12 girls.
Step-by-step explanation:
24 ÷ 2 = 12
(This is divided to find out 1 part of the whole class as ⅓)
⅓ = 12
1 (whole) take away ⅔ = ⅓
Since ⅔ + ⅓ = 1
⅓ = fraction of girls in class
1 part = 12
So ⅓ = 12 girls out of 36 total students
Hope this helps. :)