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posledela
2 years ago
15

Kendra has a math test every 12 school days and a vocabulary test every 9 school days. She had both a math test and a vocabulary

test today. The next time she will have both tests on the same day will be in
school days.
Mathematics
2 answers:
klasskru [66]2 years ago
8 0
You need the Least Common Multiple of 12 and 9.

That's 36.

3 x 12 = 36
4 x 9 = 36
I am Lyosha [343]2 years ago
7 0

Answer:

36

Step-by-step explanation:

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What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)
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Answer:

(-5,-28)

Step-by-step explanation:

Given

f(x)=x^2+10x - 3

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

f(x)= ax^2+bx +c

By comparison;

a = 1\ b = 10\ and\ c = -10

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

x = \frac{-b}{2a}

Substitute 10 for b and 1 for a

x = \frac{-10}{2*1}

x = \frac{-10}{2}

x = -5

Substitute x = -5 in the given function;

y=x^2+10x - 3

y=(-5)^2+10*-5 - 3

y=25-50 - 3

y=-28

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

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3 years ago
A trapezoid is 64cm^2. The height is 12 cm and one base is 4cm. What is the length of the missing base?
Debora [2.8K]

Answer:

20/3

Step-by-step

(base1+base2)/2 * height = area of a trapezoid

64/12=16/3

16/3*2 = 32/3

32/3-4 = 20/3

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