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3 years ago

9

Please help me with this

1 answer:

Feliz [49]3 years ago

4 0

Y=3(x²+10x)+71
Now we need to complete square for (x²+10)
It should look like this
a²+2ab+b²=(a+b)²

y=3(x²+2*5x+5²)-3*5²+71
y=3(x+5)²-75+71
y=3(x+5)²-4
Vertex has coordinates x=-5, y=-4.
Vertex in this case is the extreme value (-5,-4)

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Using the 60-30-90 right triangle method, find x and answer in simplest radical form.

wariber [46]

Answer:

x = 2 $\sqrt{10}$

Step-by-step explanation:

Since the triangle is right we can use the sine ratio to find x

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{\sqrt{30} }{x}$

[ note the exact value of sin60° = $\frac{\sqrt{3} }{2}$ ], hence

$\frac{\sqrt{3} }{2}$ = $\frac{30}{x}$

multiply both sides by 2x, hence

$\sqrt{3}$ x = 2 $\sqrt{30}$

divide both sides by $\sqrt{3}$

x = $\frac{2\sqrt{30} }{\sqrt{3} }$ = 2 $\sqrt{\frac{30}{3} }$ = 2 $\sqrt{10}$

8 0

3 years ago

Find the average rate of change of the parabola below over the interval [1,3]

weeeeeb [17]

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here (a, b ] = [ 1, 3 ], thus

f(b) = f(3) = 5 ← from graph

f(a) = f(1) = - 3 ← from graph

average rate of change = $\frac{5-(-3)}{3-1}$ = $\frac{8}{2}$ = 4 → D

5 0

2 years ago

If y varies directly as x and y = 3 when x = 24, find y when x = -16

HACTEHA [7]

Answer:

-2

Step-by-step explanation:

y/x=constant

3/24=y/(-16)

y=-2

6 0

3 years ago

. Complete. y2 + 15y + 56 = (y + 7)(y +)

malfutka [58]

In this equation when it says y2 do you mean 2y or no

6 0

3 years ago

Read 2 more answers

4. Find the distance between the two points. Round to the nearest tenth if necessary.

Archy [21]

Answer:

Distance = 7.8 units

Step-by-step explanation:

In coordinate geometry, the distance between the 2 points is given by

$Distance = \sqrt{(x1-x2)^{2} + (y1-y2)^{2} }$

where (x1,y1) and (x2,y2) are coordinates of the 2 points.

Above the 2 points given are, (-2,-1) and (3,5).

<em>x1 = -2 , y1 = -1 , x2 = 3, y2 = 5</em>

<em> $Distance = \sqrt{((-2)-(3))^{2} + ((-1)-(5))^{2} }$ </em>

<em> $Distance = \sqrt{61}$ </em>

<em>Distance = 7.8102 units</em>

To the nearest tenth, Distance = 7.8 units

3 0

3 years ago