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amm1812
3 years ago
9

A mirror has a parabolic surface defined by the equation y =¹⁄₂₄ x² with the vertex (0, 0) at the center of the mirror. When the

width of the mirror is 8 inches, what is the depth, y, of the mirror?
A.) ¹⁄₃₆ in.
B.) ⅙ in.
C.) ⅔ in.
D.) 2⅔ in.
Mathematics
1 answer:
bagirrra123 [75]3 years ago
6 0

Answer:

ITS C: 2/3 in.

Step-by-step explanation:

edg 21 ^u^

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Two combines are able to harvest 320 acres of crops in a certain amount of time. How many acres will (a)3, (b)4, (c)6 and (d)7 c
never [62]

Answer:

a) 480 acres

b)640 acres

c)960 acres

d)1120 acres

Step-by-step explanation:

Two combines are able to harvest acres of crops = 320

1 is able to harvest acres of crop = \frac{320}{2} = 160

Three combines are able to harvest acres of crops = 160 \times 3

                                                                                    = 480

Four combines are able to harvest acres of crops = 160 \times 4

                                                                                    = 640

Six combines are able to harvest acres of crops = 160 \times 6

                                                                                    = 960

Seven combines are able to harvest acres of crops = 160 \times 7

                                                                                    = 1120

8 0
3 years ago
What is the slope of the line NP
Luba_88 [7]

Answer:

The slope of NP is \frac{-5}{7} ⇒ B

Step-by-step explanation:

  • In any square, every two opposite sides are parallel and every two consecutive sides are perpendicular
  • Parallel lines have the same slope
  • The product of the slopes of the perpendicular lines is -1, which means if the slope of one m, then the slope of the other is \frac{-1}{m} (reciprocal m and change its sign)
  • The rule of the slope of the line which passes through the points (x1, y1) and (x2, y2) is m = \frac{y2-y1}{x2-x1}

In square MNPR

∵ MN and NP are adjacent sides

∴ MN ⊥ NP

∵ M = (3, 8) and N = (-2, 1)

∴ x1 = 3 and y1 = 8

∴ x2 = -2 and y2 = 1

→ Use the rule of the slope above to find the slope of MN

∴ m(MN) = \frac{1-8}{-2-3}

∴ m(MN) = \frac{-7}{-5}

∴ m(MN) = \frac{7}{5}

∵ MN ⊥ NP

∴ The product of their slopes = -1

→ Reciprocal the slope of MN and change its sign

∴ m(NP) = \frac{-5}{7}

∴ The slope of NP is \frac{-5}{7}

8 0
3 years ago
Math help please (80 points)
Inga [223]

Answer:

1. x^4 -x^3 -4x^2 -3

a1 = -7.4

an = an-1 -13.8  (choice 1)

Step-by-step explanation:

f(x) = x^4 -x^2 +9

g(x) = x^3 +3x^2 +12

We are subtracting

f(x) -g(x) =x^4 -x^2 +9 - ( x^3 +3x^2 +12)

Distribute the minus sign

x^4 -x^2 +9 -  x^3 -3x^2 -12

I like to line them up vertically

x^4      -x^2 +9

-  x^3 -3x^2 -12

-------------------------

x^4 -x^3 -4x^2 -3


2.  a1 = -7.4

To find the common difference, take term 2 and subtract term 1

-21.2 - (-7.4)

-21.2 + 7.4

-13.8

an = an-1 -13.8

5 0
4 years ago
Read 2 more answers
URGENT** PLEASE ANSWER AS SOON AS POSSIBLE: 40 POINTS
solong [7]

38%

~explaination~

1) what I was taught was make a decimal

2) 0.380 to the right to the right

3) BOOM

4) 38.0 -> 38%

8 0
4 years ago
PLS HELP I WILL MARK YOU THE BRAINLEST<br> Graph ​y&gt;1−3x.
viva [34]

Answer:

D

Step-by-step explanation: ny line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

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y

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1

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Graph the line using the slope and the y-intercept, or the points.

Slope:

−

3

y-intercept:

(

0

,

1

)

x

y

0

1

1

3

0

6 0
3 years ago
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