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ruslelena [56]
3 years ago
5

03.03 mc) find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option belo

w.
Mathematics
1 answer:
Archy [21]3 years ago
6 0
5x - 6y = 30

to find x intercept, sub in 0 for y
5x - 6(0) = 30
5x = 30
x = 30/5
x = 6......so the x intercept is (6,0)

to find the y intercept, sub in 0 for x
5(0) - 6y = 30
-6y = 30
y = 30/-6
y = -5...so the y intercept is (0,-5)
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Arada [10]

Answer:

see explanation

Step-by-step explanation:

Given

y = x² - 2x - 8

To find the x- intercepts let y = 0 , that is

x² - 2x - 8 = 0 ← in standard form

(x - 4)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 2 = 0 ⇒ x = - 2

x- intercepts : x = - 2, x = 4

The x- coordinate of the vertex is mid way between the x- intercepts, that is

x_{vertex} = \frac{-2+4}{2} = \frac{2}{2} = 1

Substitute x = 1 into the equation for corresponding y- coordinate

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8 0
3 years ago
A race car accelerates at 2 m/s2 from 12 m/s to 18 m/s. Find distance and time
Marizza181 [45]

Answer:

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Step-by-step explanation:

Here, we want to calculate distance and time

To find the time, we can use one of the Newtons law of motion

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In this question

V = final velocity = 18 m/s

U = initial velocity = 12 m/s

a = acceleration

Thus;

18 = 12 + 2(t)

18-12 = 2t

2t = 6

t = 6/2

t = 3 seconds

Mathematically we can also find the distance using one of the equation of motion;

D = ut + 1/2 at^2

D = 12(3) + 1/2 * (2) * 3^2

D = 36 + 9

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Answer:

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Step-by-step explanation:

2 Because visual specialization skills are important to success in so many career

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Jill is factoring the expression 13XY -52y. Her work is shown below
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Step-by-step explanation:

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