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3 years ago

What is the factorization of x²+8x+7?

Mathematics

1 answer:

Alika [10]3 years ago

5 0

(x+1)(x+7)
= x^2 + x +7x+7
= x²+8x+7

answer
D. (x+1)(x+7)

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What is the equation of the line that passes through the points (4/5,1/5) and (1/2,3/2)?

Setler [38]

Answer:

$y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})$ point-slope form

$13x+3y=11$ (standard form)

Let me know if you prefer another form.

Step-by-step explanation:

The slope of a line can be found using $\frac{y_2-y_1}{x_2-x_1}$ provided you are given two points on the line.

We are.

Now you can use that formula. But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.

(4/5 , 1/5)

-( 1/2 , 3/2)

-----------------

3/10 -13/10

2nd/1st = $\frac{\frac{-13}{10}}{\frac{3}{10}}=\frac{-13}{3}$ is our slope.

So the following is point-slope form for a linear equaiton:

$y-y_1=m(x-x_1) \text{ where } m \text{ is slope and } (x_1,y_1) \text{ is a point on the line }$

Plug in a point $(x_1,y_1)=(\frac{1}{2},\frac{3}{2}) \text{ and } m=\frac{-13}{3}$ .

This gives:

$y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})$

I'm going to distribute:

$y-\frac{3}{2}=\frac{-13}{3}x-\frac{-13}{6}$

Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:

$6y-9=-26x+13$

Add 26x on both sides:

$26x+6y-9=13$

Add 9 on both sides:

$26x+6y=22$ This is actually standard form of a line.

It can be simplified though.

Divide both sides by 2:

$13x+3y=11$ (standard form)

7 0

3 years ago

Read 2 more answers

What is the other dimension of the rectangular cross section that is perpendicular to the base (the face that is shaded) and

katrin [286]

Answer:

Step-by-step explanation:

4 0

3 years ago

rob is saving up to buy a new MP3 player for every $15 he earns babysitting he saves six dollars. on Saturday rob earned $75 bab

Alex787 [66]

The total amount of money is 75 dollars
There are 5 fifteens in 75
There are 6 dollars saved everytime he makes 15 dollars
6 x 5 = 30
He saved 30 dollars

3 0

3 years ago

Read 2 more answers

Find n for the sequence for which an = 37, a1 = -13 and d = 5.

Papessa [141]

The equation for a sequence is
an=a1+(n-1)d
Replace the variable with what you were given you get
37=-13+(n-1)5
Simplify
37=-13+5n-5
Combine like terms
37=5n-18
Reverse operations
55=5n
Simplify
n=11

5 0

3 years ago

X+2y=23 5x+10y=55 solve please

Setler79 [48]

X+2y=23
X=-2y +23
Plug this in for x in the second equation

5(-2y + 23) + 10y = 55
-10y + 115 + 10y = 55

The -10y + 10y cancel out, so there is no solution

Hope this helps!

6 0

3 years ago