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zzz [600]
3 years ago
6

The equation for the line shown in the graph below is y= 2x + b in slope intercept form.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0

Answer:

-3

The y-intercept is where the line touches the y-axis

On the graph the line touches the y-axis at y=-3

Therefore the y-intercept is y=-3

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Put the following equation of a line into slope-intercept form, simplifying all fractions 2x + 6y = 36​
joja [24]

Answer:

y=-\frac{1}{3} x+6

Step-by-step explanation:

Slope intercept form is y=mx+b. So, you solve for y by putting x to the other side and dividing by 6. In order it looks something like:

2x+6y=36
2x -2x +6y = 36 =2x
6y=36-2x

y=6-2/6x
y=6-1/3x

6 0
3 years ago
A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is
MAXImum [283]

Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = w+12 inches

As given, 4 inch squares are cut from each corner;

So, the width is = w-8 inches

Length is = w+12-8=w+4 inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, 256=(w+4)(w-8)(4)

=> 256=(w^{2}-4w-32)4

=> 64=(w^{2}-4w-32)

=> w^{2} -4w=96

or w^{2} -4w-96=0

=> w^{2} -12w+8w-96=0

=> w(w-12)+8(w-12)=0

We get , (w+8)=0 ; w = -8(neglect the negative value)

(w-12)=0 ; w = 12 inches

And length = 12+12=24 inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : 256=(w+4)(w-8)(4)

256=(12+4)(12-8)(4)

=> 256=(16)(4)(4)

=> 256=256

5 0
3 years ago
Ahhhhh what is 11/12-(-10)-5/6
Zepler [3.9K]

Answer:121/12 or 10.083 or 10 1/12

Step-by-step explanation:

One of them is a answer choose the one you see on your question

8 0
3 years ago
What is y-6 = 2(x+5) in standard form?
vlabodo [156]
y-6 = 2(x+5) 

\dfrac{y-2}{2}=x+5 

\dfrac{y-2}{2}-5=x 

x=\dfrac{y-2}{2}-5
8 0
3 years ago
A. 86<br> B. 111<br> C. 69<br> D. 71
dangina [55]
All the angles of a triangle add up to 180 degrees. 

30+39+<4= 180

69+<4= 180

Subtract 69 on both sides. 

<4= 111 degrees

<1 and <4 are supplementary and adjacent. They equal 180 degrees as well.

111+<1= 180

<1= 69 degrees

I hope this helps!
<em>~kaikers</em>
8 0
3 years ago
Read 2 more answers
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