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faltersainse [42]
2 years ago
10

Rewrite the following equation in slope-inte

Mathematics
1 answer:
Nonamiya [84]2 years ago
7 0

Answer:

y = 13x + 86

Step-by-step explanation:

y−8 =13(x+6); distribute the 13

y - 8 = 13x + 78; now add 8 to both sides

y = 13x + 86; this is the slope intercept form

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5x^4-x^2+x-2 divided by x^2+2
tensa zangetsu [6.8K]

Answer:

5x6 - x4 + x3 + 2x2 - 2  

 ———————————————————————

           x2          

Step-by-step explanation:

5 0
3 years ago
a 28 ft. ladder leaning against a vertical wall makes an angel of 80 degrees with the ground. How far from the base of the wall
worty [1.4K]

Answer:

The ladder is 4.86 foot from the base of the wall .

Step-by-step explanation:

Given as :

The length of the ladder = 28 ft

The ladder makes angle of 80° with the ground

Let The distance of the ladder from the foot of the wall = x ft

Now, From Triangle BAC

Cos angle = \dfrac{\textrm Base}{\textrm Hypotenuse}

I.e Cos 80° = \dfrac{\textrm BA}{\textrm AC}

Or, 0.1736 =  \dfrac{\textrm x}{\textrm 28}

Or, x = 0.1736 × 28

∴  x = 4.86 foot

So, The distance of ladder from wall base = x =  4.86 foot

Hence The ladder is 4.86 foot from the base of the wall . Answer

3 0
2 years ago
The sum of three consecutive integers is −42. find the three integers.
erica [24]
Let the integers be x - 1, x and x + 1, then
x - 1 + x + x + 1 = -42
3x = -42
x = -42/3 = -14

The three consectutive integers are -15, -14 and -13
4 0
3 years ago
Combine like terms.<br><br> y + 3 + 9(y + 5) =
Mnenie [13.5K]

Answer:

The answer is 10y + 48.

Step-by-step explanation:

First you have to get rid of brackets by expanding :

y + 3 + 9(y + 5) \\  = y + 3 + 9y + 45

Next you have to collect like-terms :

y + 3 + 9y + 45 \\  = 10y + 48

7 0
3 years ago
Read 2 more answers
Factor 2x2 + 7x + 3. <br> (2x + 2)(x + 1) <br> (2x + 3)(x + 1) (2x + 1)(x + 3)
maks197457 [2]
<h3>Answer:</h3>

(2x + 1)(x + 3)

<h3>Step-by-step explanation:</h3>

It is probably easier to try the answer choices than to try to factor the expression yourself.

(2x + 2)(x + 1) = 2x² +4x +2

(2x + 3)(x + 1) = 2x² +5x +3

(2x + 1)(x + 3) = 2x² +7x +3 . . . . . correct choice

_____

<em>Constructed solution</em>

If you want to factor this yourself, you can look for factors of "ac" that add to give "b". That is, you want factors of 2·3 = 6 that add up to give 7. You don't have to look very far.

... 6 = 1·6 = 2·3 . . . . . . the first factor pair adds to give 7

Now, rewrite the x term using the sum of these numbers.

... 2x² +(1 +6)x +3

... 2x +x +6x +3 . . . . eliminate parentheses

... (2x +x) +(6x +3) . . . . group pairs of terms

... x(2x +1) +3(2x +1) . . . . factor each pair

... (x +3)(2x +1) . . . . . . matches the last selection

6 0
2 years ago
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