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Nataly [62]
3 years ago
8

Y+5=2(x+1) what is the slope for this Math

Mathematics
1 answer:
Stells [14]3 years ago
7 0

Answer:

2

Step-by-step explanation:

The slope-intercept form is

y=mx+b, where m is the slope and b is the y-intercept.y=mx+bRewrite in slope-intercept form.Simplify 2(x+1).Apply the distributive property.

y+5=2x+2⋅1

multiply 2 by 1.

y+5=2x+2

y+5=2x+2

Move all terms not containing y to the right side of the equation.Subtract 5 from both sides of the equation.

y=2x+2−5

y=2x−3

the slope is the "m" so the slope is 2

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If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.
zmey [24]

Answer:

a=3 and b=5.

Step-by-step explanation:

So I believe the problem is this:

\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}

where we are asked to find values for a and b such that the equation holds for any x in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)

2(4x+3)=a(x+7)+b(x-3)

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

2(4\cdot -7+3)=a(-7+7)+b(-7-3)

2(-28+3)=a(0)+b(-10)

2(-25)=0-10b

-50=-10b

Divide both sides by -10:

\frac{-50}{-10}=b

5=b

Now we have:

2(4x+3)=a(x+7)+b(x-3) with b=5

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

2(4\cdot 3+3)=a(3+7)+b(3-3)

2(12+3)=a(10)+b(0)

2(15)=10a+0

30=10a

Divide both sides by 10:

\frac{30}{10}=a

3=a

So a=3 and b=5.

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
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3 years ago
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two blocks of wood are shaped as right rectangular prism the smaller block has a length of 9 cm and a width of 3 cm and a height
AlexFokin [52]

Answer:

1512 cm³

Step-by-step explanation:

Formula

Volume of right rectangular prism = Length × Breadth × Height

As given

Two blocks of wood are shaped as right rectangular prisms.

The smaller block has a length of 9 cm, a width of 3 cm, and a height of 7 cm.

As given

The dimensions of the larger block are double the dimensions of the smaller block.

Length of the larger block = 2 × Length of the smaller block

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                                           = 18 cm

Breadth of the larger block = 2 × Breadth of the smaller block

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Height of the larger block = 2 × Height of the smaller block

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Put in the formula

Volume of larger wooden block = 18 × 6 × 14

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Therefore the volume of the wooden block is 1512 cm³ .

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Harrizon [31]

I am pretty sure the value of ‘n’ is 2.5!

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