Growing 10 inches in 2 years
Answer:
y = -2x + 21
Step-by-step explanation:
use point intercept form: y = mx + b where m is the slope and b is the y intercept
to find the y intercept, b, plug in values into equation and solve for b
11 = (-2) (5) + b
b = 21
then plug into the equation the slope and intercept!
Step-by-step explanation:
if you draw an imaginary perpendicular line across the figure from the vertex which joins the line of 2 cm with the line that is making an angle of X then you can see that this figure is made up of two figures that is a triangle and a rectangle.
now from the angle given i.e X.
perpendicular= 5 cm
base = 14 -2= 12 cm
hypotenuse= ?
we know that,
h² = p²+b²
= 5²+12²=169
h= √169
h= 13
again,
cos X = b/h
= 12/13
Answer:
- top: no solution
- bottom: x = 7
Step-by-step explanation:
I find a graphing calculator very helpful to solving radical equations. It helps avoid extraneous solutions.
<u>top</u>
√(-14x +2) = x -3
-14x +2 = x² -6x +9 . . . . . square both sides
x² +8x +7 = 0 . . . . . . . . . .subtract the left side
Descartes' rule of signs tells you this has no positive real solutions. (There are no sign changes among the coefficients.) The value of the radical will be non-negative, so we must have x-3≥0, or x≥3. Since there are no positive real solutions to the quadratic, there are no values of x≥3 that will satisfy the equation. NO SOLUTION
__
<u>bottom</u>
4√(x -3) = 8 . . . . . given
√(x -3) = 2 . . . . . . divide by 4
x -3 = 4 . . . . . . . . . square both sides
x = 7 . . . . . . . . . . . add 3
Answer:
67.5 degrees
Step-by-step explanation:
The first angle is 45 and the second angle is x and the third angle is x (the second and third are equal)
We know the 3 angles of a triangle add to 180 degrees
45+x+x = 180
Combine like terms
45+2x=180
Subtract 45 from each side
45-45 +2x = 180-45
2x= 135
Divide by 2
on each side
2x/2 =135/2
x = 67.5
