Answer:
y = -2x + 16
Step-by-step explanation:
So first you plug in the values you know into the slop int. form, equation, in which it is y = mx +b. When you plug in the slope value then you will get the equation of y = -2x +b, in which then you have to solve for the b value.
In order to solve for the b value, you then plug in the x and y values of the coordinate that is given so what you would do is this: 6 = -2(5) +b
6 = -10 +b
16 = b
So then you find out b is 16 in which you just plug back into the equation. So finally you write the equation, y = -2x+16.
We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.
11.
Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.
tan B = b/a
b = a tan B = 65.7 tan 28.9° = 36.3 m
12.
Similar story, boat at B, opposite b=3.5 m, rope c=12 m
sin B = b/c
B = arcsin b/c = arcsin (3.5/12) = 17.0°
13.
c=124 m, A=58°
sin A = a/c
a = c sin A = 124 sin 58 = 105.2 m
14.
That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so
cos A = b/c
A = arccos b/c = arccos (1.8/2.8) = 50.0°
15.
Not a right triangle, an isosceles triangle. Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°. We're after d=2b:
sin B = b/c
b = c sin B
d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm
Almost equilateral
Answer:
a
d
A
c
c
Step-by-step explanation:
Answer:
isk
Step-by-step explanation:
