Answer: -4, -3, -2
Step-by-step explanation:
By inspection, we know 
is a root.
We can thus rewrite the equation as
Answer:
y = 8
x = 21
Step-by-step explanation:
Find x first. Since there is a straight line, we can conclude it's equal to 180 degrees.
11x + 10 -61 = 180
Add 10 to negative 61.
11x - 51 = 180
Add 51 to both sides.
11x = 231
Divide 11 both sides
x = 21.
Now put x in the equations to solve.
This is for the small angle on the right side.
(21+10) = 31
This is for the big angle on the right side.
(10(21) - 61)
210 - 61 = 149.
Now for the other side, we know the degree for the smaller side on the left side since it's a vertical angle.
31 degrees for top left angle. Since we know this side is 180 just subtract 31 from 180 and you'll get 149.
18y + 5 = 149
Subtract 5 both sides.
18y = 144
y = 8.
Answer:
10.25
Step-by-step explanation:
The slope of AC is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -1)/(3 -(-1)) = -5/4
Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-4) = 4/5(x -3) . . . . line CB
When y = 1 (to match the y-value of A), then ...
1 +4 = 4/5(x -3)
5(5/4) = (x -3) . . . . . multiply by 5/4
6.25 +3 = x = 9.25 . . . . add 3
Point B is (9.25, 1).
The length of the hypotenuse is ...
9.25 -(-1) = 10.25
ANSWER
As given in question
plant’s height = 37 centimeters
it grows at a rate of 0.004 centimeter per hour of sunlight
Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives.
the number of hours of sunlight = s
Than the equation become in the form
f(s) = 0.004s + 37
this equation shows the height of the plant .
Hence proved
Answer:
The values of sin θ and cos θ represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for cos θ finds the unknown leg, and then all other trigonometric values can be found.
