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andriy [413]
3 years ago
7

Find the area of the rectangle below by multiplying its length and width.

Mathematics
1 answer:
Radda [10]3 years ago
7 0

Answer:

10x^2-33x+20

Step-by-step explanation:

i- common knowledge :)

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Solve for x. + 6 = 10 4 1 16 64
Alecsey [184]

Answer: First, turn the mixed fraction 16 1/4 into a improper fraction. It would become 65/4

x+65/4=64

Next, I would multiply the entire equation by 4 to get rid of the fraction

It would become 4x+65=256

Now solve for X

4x=191

x=191/4

x=47.75

Step-by-step explanation:

4 0
2 years ago
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The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm
svet-max [94.6K]
The sides of the triangle are 3x, 4x and 5x

3x + 4x + 5x = 90
12x = 90
x = 90/12
x = 7.5

first side = 3x = 3 * 7.5 = 22.5 cm
second side = 4x = 4 * 7.5 = 30 cm
third side = 5x = 5*7.5 = 37.5 cm
7 0
3 years ago
The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15
katrin [286]
<h2>Hello!</h2>

The answer is: The first graphic representation.

<h2>Why?</h2>

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

h(t)=-16.1t^2 + 150\\0=-16.1t^2 + 150\\16.1t^2=150\\t^2=\frac{150}{16.1}=9.32\\t=+-\sqrt{9.32}=+-3.05\\t1=3.05\\t2=-305

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

a=-1\\b=0\\c=150

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

8 0
2 years ago
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What are the factors of 17
julia-pushkina [17]
1 and 17 are the only factors.
7 0
3 years ago
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If R=4. Which is the correct answer if R is substituted into R+9
lora16 [44]
The answer is 13


If R=4 the the equation would be 4+9 which equals 13.
6 0
3 years ago
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