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Svetradugi [14.3K]
3 years ago
12

Write an equation of the parabola in intercept form that passes through (-2, 0.05) with x-intercepts of -7 and -3

Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

1/100(x+7)(x+3)

Step-by-step explanation:

Point: (-2 , 0.05)  X intercepts: -7 and -3

Format: y = a( x + x-intercept )( x + x-intercept )

0.05 = a( -2 + 7 )( -2 + 3 )

0.05 = a( 5 )( 1 )

0.05 = 5a

0.05/5 x 100 = 5/500 = 1/100

a = 1/100

1/100(x+7)(x+3)

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Y = x ^3 - 5x² +16x-80
Leokris [45]

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(x-5)(x^2+16)

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An airplane takes off from the ground and reaches a height of 500 feet after flying 2 miles. given the formula h = d tan θ, wher
zloy xaker [14]

Height covered by the plane=h= 500 feet

Distance covered by the plane along the ground=d= 2 mile

Now, convert the mile into feet,

1 mile = 5280 feet

2 mile = 10560 feet

Now, use the formula

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5 0
3 years ago
Which problem can be represented by the equation 100x+50=710?
andrew-mc [135]

Answer: The first answer

A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?

Step-by-step explanation:

7 0
3 years ago
The midpoint of the line segment from P1 to P2 is (-6,5). If P1 = (-7,8), what is P2?
kipiarov [429]
You can determine midpoint by
x-midpoint = (x₁ + x₂)/2
y-midpoint = (y₁ + y₂)/2

Given from the question
x-midpoint = -6
x₁ = -7
y-midpoint = 5
y₁ = 8

Asked from the question
(x₂, y₂)

Solution
Find x₂, input the value of x₁ and x-midpoint to the formula
(x₁ + x₂)/2 = x-midpoint
(-7 + x₂)/2 = -6
-7 + x₂ = -6 × 2
-7 + x₂ = -12
x₂ = -12 + 7
x₂ = -5

Find y₂, input the value of y₁ and y-midpoint to the formula
(y₁ + y₂)/2 = 5
(8 + y₂)/2 = 5
8 + y₂ = 5 × 2
8 + y₂ = 10
y₂ = 10 - 8
y₂ = 2

Answer
P₂ = (-5,2)
5 0
3 years ago
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