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BARSIC [14]
3 years ago
10

Factor completely. x2−5x−36 Enter your answer in the box.

Mathematics
2 answers:
Kamila [148]3 years ago
4 0

Answer:

(x - 9)(x + 4)

Step-by-step explanation:

x^2−5x−36

As you know, -36 = -9 * 4 and (-9) + 4 = -5

so Factor

= (x - 9)(x + 4)

Mila [183]3 years ago
4 0

Answer:

x^2 − 5x − 36 = (x - 9)(x + 4)

Step-by-step explanation:

You need to find two numbers whose product is -36 and whose sum is -5.

-36 = -4 * 9; sum -4 + 9 = 4  wrong sum

-36 = -9 * 4; sum -9 + 4 = -5   right sum

The numbers are -9 and 4.

Answer: x^2 − 5x − 36 = (x - 9)(x + 4)

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You can create a table to organize your data and create your equation. 
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Which expression does not have a solution of 12, if w = 4? <br> 3 w <br> w + 8 <br> 4 w <br> 16 - w
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Answer:

8 w

Step-by-step explanation:

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4 0
3 years ago
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Three classes have the same number of students. The teachers compared attendance on one Friday. Mr. Lopez had 92.5% of his stude
Sunny_sXe [5.5K]

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Suppose the number of students in one of the classes is :

x

So ;

Mr.Lopez \:   \: had \:  \:  \frac{92.5}{100}x \\

_________________________________

Mrs.Foster \:  \: had \:  \:  \frac{19}{20} x \\

So :

Mrs.Foster \:  \: had \:  \:  \frac{19 \times 5}{20 \times 5} x \\

Mrs.Foster \:  \: had \:  \:  \frac{95}{100}x \\

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Ms.Kelly \:  \: had \:  \: 0.9x

Ms.Kelly \:  \: had \:  \:  \frac{9}{10} x \\

Ms.Kelly \:  \: had \:  \:  \frac{90}{100} x \\

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Compare :

\frac{95}{100} x >  \frac{92.5}{100} x >  \frac{90}{100} x \\

Thus :

Mrs.Foster’s  \:  \: class \:  > \: Mr.Lopez’s \:  \:  class \:  >  \: Ms.Kelly’s \:  \:  class \\

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8 0
3 years ago
The length and width of a rectangle are in a 3:5 ratio. The perimeter of the rectangle is 64. What are the length and width of t
Levart [38]

Hey there! I'm happy to help!

We know that the perimeter is 2L+2W. Le'ts plug in the values 3 and 5 from our ratio and see what our perimeter would be with that.

2(3)+2(5)

6+10

16

How can we get this 16 to 64?

64/16=4

So, we need to multiply this length and width by four to get 64 as our perimeter!

3*4=12

5*4=20

We can plug this into our perimeter equation

2(12)+2(20)

24+40

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Therefore, our length is 12 and our width is 20.

Have a wonderful day! :D

5 0
3 years ago
A pole that is 3m tall casts a shadow that is 1.22m long. At the same time, a nearby building casts a shadow that is 38.5m long.
vichka [17]
Refer to the diagram shown below.

The height of the pole is CD (3 m), and its shadow is AB (1.22 m).
The height of the building is h m, and its shadow is AD (38.5 m).

The two triangles ΔABC and ΔADE are similar because of AAA.
Therefore
\frac{DE}{BC} = \frac{AD}{AB} \\\\  \frac{h}{3} = \frac{38.5}{1.22}

Cross multiply.
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Answer: 141 m (nearest meter)

5 0
4 years ago
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