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djverab [1.8K]
2 years ago
15

Alexa and her children went into a movie theater where

Mathematics
1 answer:
slega [8]2 years ago
7 0
1 Pretzel and 5 Bags of Popcorn
(WORK SHOWN BELOW)

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Imagine you are teaching a younger student how to factor. Describe in full sentences what you would say to teach the young stude
djyliett [7]

Answer:

x^2+ 4x - 21 =(x-3)(x+7)

Step-by-step explanation:

To factor the trimonial: x^2+ 4x - 21, we follow these steps:

Step 1: Multiply the first and last term

-21 \times x^2=-21x^2

Step 2: List out product factors of the term derived above

-21=-1 \times 21\\ -21=-3 \times 7\\-21=3 \times -7\\-21=1 \times -21

Step 3: Determine which of the factors sum up to the middle term 4x

The required product is: -3 and 7

Therefore: -3x+7x=4x

Step 4: Replace the middle term by the expression derived in step 3 and factorize.

x^2+ 7x -3x- 21\\=x(x+7)-3(x+7)\\=(x-3)(x+7)

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3 years ago
Suppose a circle is divided into congruent slices. Match each number of slices with the
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26 skate and with wunno when ask what about the gc and the park to park in
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What is the range of y = sin θ ?
Tamiku [17]
The range of a function is the set of all the possible function outputs. We know that sin theta varies between -1 and 1 if we draw a graph. According to the graph, the largest number that is an output of g is -1, and the smallest number is 1. Every number between them is also an output of g for some input. Therefore, the range of g is [-1,1]. 
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the coordinates of a line segment are (1,6) and (11, -4). what is the length of the line segment? round your answer to the neare
ddd [48]
The length of the line segment AB where A(x_A;\ y_A) and B(x_B;\ y_B)

|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}

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subtitute

|AB|=\sqrt{(1-11)^2+(6-(-4))^2}=\sqrt{(-10)^2+10^2}=\sqrt{100+100}\\\\=\sqrt{100\cdot2}=\sqrt{100}\cdot\sqrt2=10\sqrt2\approx14.1

Answer: b. 14.1
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3 years ago
If 3x = 7y, what are the following ratios?<br> 3y:x
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for

x

y

: To do this we must divide each side of the equation by

2

y

which will give us

x

y

while keeping the equation balance.

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