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34kurt
3 years ago
8

What is the vertex of g(x) = 8x2 – 48x + 65? (–3, –7) (3, –7) (24, –7) (–24, –7)

Mathematics
1 answer:
monitta3 years ago
4 0

B. (3, -7)

When the equation is graphed, the vertex is at the point (3,-7). I hope this helps!!!

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A life guard in a tower 20 ft above sea level spots a struggling surfer at an angle of depression of 15 . How far is the surfer
GalinKa [24]

Answer: 19.31\ ft

Step-by-step explanation:

Given

The tower is at a height of h=20\ ft

the angle of depression is 15^{\circ}

Suppose the surfer is x ft away from the base of the tower

\therefore \text{From the figure, we can write}\\\\\Rightarrow \cos 15^{\circ}=\dfrac{x}{h}\\\\\Rightarrow x=h\cos 15^{\circ}\\\Rightarrow x=20\cos 15^{\circ}\\\Rightarrow x=19.31\ ft

Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.

7 0
3 years ago
Hi help please! i’m struggling lol i already know the first part
sladkih [1.3K]

Answer:

180 Degrees minus 117= sixty three

answer is x is 63

Where did I get the 180?

- straight Angles have 180

- 117 is a part of 180

-so that is why you had to subtract

I hope this Helps You!!

7 0
2 years ago
Which pair shows equivalent expressions?
balu736 [363]

Answer:

2(2/5x+2)= 2*2/5x + 2*2= 4/5x+4

3 0
3 years ago
Read 2 more answers
Determine the rate of change of the following linear equation as it translates from (-5, -1) to any other point on the line.
Norma-Jean [14]
The rate of change of a linear equation (first degree) is equivalent to the slope of a line. Slope is described as the vertical movement (rise) of the line over its horizontal counterpart (run). In determining the rate of change or slope (m) given 1 data point (x',y'), point-slope form is applicable. Point-slope form is: (y-y') = m (x-x'). Substitute the given point (-5,-1) in the equation. By substitution, [y-(-1)] = m [x-(-5)]. Re-arranging the equation, the rate of change or slope is, m = (y+1)/(x+5).
4 0
3 years ago
Gisele has $5.90 in quarters and nickels. If Gisele has 16 more nickels than quarters, how many quarters does she have? [I don't
krok68 [10]

Answer:

See below

Step-by-step explanation:

Quarters= 25(x)

Nickels =5(x+16)

25x+5(x+16)=590 (no decimal)

If you solve for x, you’ll get the number of quarters.

3 0
3 years ago
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