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cluponka [151]
3 years ago
13

Khan Academy

Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

p(x) as a product of linear factors. p(x)=(x+3)(x-2)(x+6)

Step-by-step explanation:

(x+3) is the factor of polynomial p(x) = x^3 + 7x^2 - 36

So, we can divide p(x) = x^3 + 7x^2 - 36 by (x+3) to find other factors

The division is shown in figure attached.

The quotient is: x^2+4x-12

Now factoring the quotient to find linear factors

x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)

The factors are (x+3)(x-2)(x+6)

So, p(x) as a product of linear factors. p(x)=(x+3)(x-2)(x+6)

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Can someone help me pls
Andrej [43]

Answer:

x=78

Step-by-step explanation:

q is 90 degrees since it is a right angle,

p=12

90 plus 12 =102

x=180-102

x=78

3 0
3 years ago
Read 2 more answers
How to do 2x+4=12 plz show how you got it
OverLord2011 [107]
2x + 4 = 12

We're simply just trying to isolate x.

So, we must get x onto it's own side of the equal sign :)

Our first step is to subtract 4 from both sides.

2x + 4 - 4 = 12 - 4

Simplify.

2x = 8

Then, we divide both sides by 2.

2x ÷ 2 = 8 ÷ 2 

Simplify.

x = 4

----------

To check your work, simply plug in the value of x into x in the original equation.

In this problem, x = 4, so plug in 4 for x.

2x + 4 = 12

2(4) + 4 = 12

Simplify.

8 + 4 = 12

12 = 12

Therefore, x = 4

~Hope I helped!~
8 0
3 years ago
Read 2 more answers
Meg lives in Indianapolis and wants to visit her mom in Lima. She has been meaning to go to a chiropractor in Dayton, so she is
ella [17]

Answer: 44 miles

WORKINGS

Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown

Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.

The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL

Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles

Therefore, The distance between Dayton and Lima, DL = 52 miles

The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.

That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles

Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
7 0
3 years ago
SOMEONE PLEASE ANSWER ASAP THIS FOR BRAINLIEST!!!!
kirill115 [55]

wow the answer is not listed on option

3 0
3 years ago
30 points!!!!!
dlinn [17]
HELLO...!!

Diagonal = ?
Wide = 20 in.
High = 15 in.

Pythagoras formula: D² = H² + W²

D^2=(15)^2+(20)^2\\ \\D^2=225+400\\ \\D^2=625\\ \\D= \sqrt{625}\\ \\D=25\ in.\quad\Longrightarrow\boxed{\boxed{\mathbb{ANSWER\ \checkmark}}}\\ \\ \\\textbf{HOPE\ THIS\ HELPS...!!}
6 0
3 years ago
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