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Nikolay [14]
3 years ago
11

The area of triangle formed by points of intersection of parabola y=a(x−1)(x−4) with the coordinate axes is 3. Find a if it is k

nown that parabola opens downward.

Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer:

  a = -1/2

Step-by-step explanation:

In order for the triangle with a base of 4-1 = 3 units to have an area of 3 square units, the height of it must be 2. Since the parabola opens downward, the y-intercept of the equation must be -2. Filling in known values for that point, we have ...

  -2 = a(0 -1)(0 -4)

  -2 = 4a . . . . . . . . . simplify

  -2/4 = a = -1/2

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Answer:

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Step-by-step explanation:

1)

⇒ x + 6 = 4

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2)

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⇒ x + 4 = -6

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3)

⇒2(x-1) = -200

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4 0
3 years ago
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A pack of cinnamon scented pencils sells for $9.00. What is the sales tax rate of the total cost of the pencils is $9.36
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The tax rate would be 4%
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A grocery store charges $1.49 per pound of bananas. Use this unit rate to find the price of 3 pounds of bananas.
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Step-by-step explanation:

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3 years ago
Find each measurement indicated. Round your answers to the nearest tenth. Please show work. Part 1​
timama [110]

9514 1404 393

Answer:

  1. 33.0 m
  2. 26.1 mi
  3. 28.0 mi
  4. 33.0 mi

Step-by-step explanation:

In each of these Law of Sines problems, you are given side a and angles B and C and asked for side c (problems 1, 3, 4) or side b (problem 2). The solution is basically the same for each:

Find the missing angle. Find the side from ...

  c = a·sin(C)/sin(A)

__

1. angle A = 180°-89°-58° = 33°

  c = (18 m)sin(89°)/sin(33°) ≈ 33.0 m

__

2. angle C = 180°-13°-17° = 150°

  b = (58 mi)sin(13°)/sin(150°) ≈ 26.1 mi

__

3. angle A = 180°-61°-89° = 30°

  c = (16 mi)sin(61°)/sin(30°) = 28.0 mi

__

4. angle A = 180°-39°-127° = 14°

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7 0
3 years ago
48 m
g100num [7]

Answer:

Answer in terms of π=144π m^3

Answer by replacing π with 3.14 is 452.16 approximately 452.2m^3

Answer to the nearest whole no. is 452m^3

Step-by-step explanation:

volume \: of \: a \: cone =  \frac{1}{3} \pi {r}^{2} h

radius =  \frac{diametre}{2}

radius = 24

height = 18

slant \: height \:  = 30

first \: step

the \: exact \: volume \: of \: the \: cone \: in \: terms \: of \: \pi

v =  \frac{1}{3} \pi {r}^{2} h

\:  \:  =  \frac{1}{3}  \times \pi \times 24 \times 18

\:  \:  \:  =  \frac{432\pi}{3}

\:  \:  \:  = 144\pi

second \: step

approximate \: answer \: using \: 3.14 \: in \: place \: of \: \pi

144 \times 3.14

= 452.16

approximately \: 452.2

last \: step

answer \: to \: the \: nearest \: whole \: number

452 {m}^{3}

7 0
3 years ago
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