Answer:
[-1, infinity)
Step-by-step explanation:
I must assume that you meant y = √(x - 5) - 1.
The range of the square root function is [0, infinity.
If 1 is subtracted from the square root function, the range of the resulting function is [-1, infinity).
Answer:
15.2 m
Step-by-step explanation:
You need to draw a figure. Start by drawing a horizontal segment approximately 10 cm long; that is the ground. Label the left end point A and the right endpoint B. On the right endpoint, B, go up a short 1 cm vertically. That is 1.5 m, the height of Zaheer. Label that point C. Now from that point draw a horizontal line that ends up above point A. Label that point D. Now go back to point C. Draw a segment up to the left at a 30 deg angle with CD. End the segment vertically above point D. Label that point E. That is the top of the flagpole. Draw a vertical segment down from point E through point D ending at point A. Segment AE is the flagpole. Go back to point C. Move 3 cm to the left on segment CD, and draw a point there and label it F. That is where Zaheer moved to. Now connect point F to point E. That is a 45-deg elevation to point E, the top of the flagpole.
m<EFD = 45 deg
m<EFC = 135 deg
m<FEC = 15 deg
m<ECD = 30 deg
We now use the law of sines to find EC
(sin 15)/10 = (sin 135)/EC
EC = 27.32
Because of the 30-60-90 triangle, ED = EC/2
ED = 13.66
Now we add the height of Zaheer to find AE.
13.66 + 1.5 = 15.16
Answer: 15.2 m
Y = mx + b
slope(m) = -1
(2,-4)...x = 2 and y = -4
now we sub and find b, the y int
-4 = -1(2) + b
-4 = -2 + b
-4 + 2 = b
-2 = b
y = -x - 2
x + y = -2 <== standard form
I think your answer will be 53
I hope this helps.
When you use F.O.I.L. on problems you get an answer that looks like this; ax^2 + bx + c. The middle term is bx. To find this term we solve out by multiplication. so x*x + 5*x + 2*x + 5*2 or x^2 + 7x + 10, so the middle term is 7x.