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irinina [24]
3 years ago
5

Factor the following. ( Correct and best explained answer gets brainliest :)

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0
The answer is (x - 10)(x - 9).

Alright, so here is my thought process as I factored this out. 

The middle number, or second term, is the sum of the numbers within the parentheses after you factor. In this case, we had to get to -19.

Now, to figure out which two number are gonna add up to that, you need to figure out the factors of the last number in the equation, which is the constant. In this case, multiple choice tells us that 10 and 9 have got to be the factors of 90 we're looking for. 

Now, back to the first step. We have the numbers 10, 9, and -19. The only way to make 10 and 9 add up to -19 is by making 10 and 9 both negative. So -9 and - 10. 

Finally, you add the x's and the parentheses to make the lovely factored version of the equation: (x - 10)(x - 9)! :)
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Find the area of the trapezoid<br><br> A. 168 in^2<br> B. 94.5 ft^2 <br> C. 72 ft^2<br> D. 84 ft^2
Rainbow [258]

Answer:

D. 84 ft^2

Step-by-step explanation:

Formula for area of a trapezoid:

A=\frac{a+b}{2} h

where a and b = bases and h = height

The trapezoid shown has the following dimensions

base 1 = 9ft

base 2 = 12ft

height = 8ft

Using the following information we plug in the values into the formula

A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84

Hence, the area of the trapezoid is 84ft² and your answer is D

4 0
3 years ago
Polygon P'Q'R'S'T' shown on the grid below is an image of polygon PQRST after dilation with a scale factor of 3, keeping the ori
Allushta [10]

Answer:

D is the answer


8 0
3 years ago
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What is the measure of X?
AnnZ [28]

Answer:

A. 25.7°

Step-by-step explanation:

the sum of straight angle is 180°.

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3 0
3 years ago
A triangular prism has a base area or 20 square feet and a height of 4 feet find the volume
ipn [44]

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8 0
3 years ago
9. Carla has $200 in her bank account.
Firdavs [7]

(a) Linear Equation:   f(x) = 200 - 20x

(b) x-intercept : (10,0)

(c) y-intercept : (0,200)

(d) Domain : {0,1,2,3,4,5,6,7,8,9,10}

    Range : {0,1,2,...,200}

Step-by-step explanation:

Step 1: As we can see in graph, money in Carla is decreasing in multiples of 20 can be referred as 20x.

Every week $20 is getting deducted from the total amount of $200.

Step 2: (a) So we can quote it in equation as,

f(x) = 200 - 20x

where x represents number of weeks

Step 3: (b) x-intercept is where value of y becomes 0.

So, referring graph we can determine x intercept as x = 10. Point (10,0). which also means no money left in account.

Step 4: (c) y-intercept is where value of x becomes 0.

So, referring graph we can determine y intercept as y = 200. Point (0,200). which is starting value of money in account.

Step 5: (d) Domain : {0,1,2,3,4,5,6,7,8,9,10}

                  Range : {0,1,2,...,200}

4 0
3 years ago
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