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lord [1]
2 years ago
15

Which equation is in slop-intercept form?

Mathematics
2 answers:
Goshia [24]2 years ago
7 0

Answer:

\boxed {\boxed {\sf y=3x+12}}

Step-by-step explanation:

The slope-intercept form of an equation is:

y=mx+b

where <em>m </em>is the slope and <em>b</em> is the y-intercept.

Let's evaluate each answer choice. The one in slope-intercept form will have the y variable isolated on one side of the equation.

  • A. 2x+3y=21: This is <em>not</em> is slope-intercept form. The y is not isolated.
  • B. y-7=3(x+4): Again, this isn't slope-intercept form. A 7 is being subtracted from y
  • C. y²=3x²-6: This also isn't correct. y is being squared.
  • D. y=3x+12: This choice is correct. The y is all alone on the left side of the equation.

The equation in slope-intercept form is <u>D. y=3x+12</u>

frosja888 [35]2 years ago
6 0

Step-by-step explanation:

Only D, y = 3x + 12 is in slope-intercept form.

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What is 4,015 rounded to the nearest ten?
umka21 [38]

Answer:

The answer is 4006

Step-by-step explanation:

You get this answer by looking at the ones and it is greater than 5

6 0
3 years ago
the length of a rectangle is 6.7 cm more than 2 times the width. If the perimeter of the rectangle is 57.2 cm, what are its dime
ss7ja [257]
57.2-6.7-6.7=43.8
43.8÷6=7.3
7.3×2+6.7=21.3
length = 21.3cm
width = 7.3cm
(21.3×2)+(7.3×2) = 57.2
hope that helps
6 0
3 years ago
What are the measurements of the sides of a pentagon that has the area of 32?
LenaWriter [7]

Answer:

4.31 units

Step-by-step explanation:

A pentagon is a polygon with five straight sides.

The formula to apply here will be finding area from side length, assuming that this is  a regular pentagon with five sides of equal length.

Lets take each side length to be x units

Divide the pentagon into five triangles by joining a line from the center to any vertex of the pentagon.

Now you have five equal triangle.Take the base triangle and divide it into two(take a line from center of pentagon to hit the base at 90°)

This will divide the base triangle of length x unit into two equal triangles with base length x/2 units.

The angle at the pentagon center for the small formed triangle will be 36°. Here you have a triangle with base x/2 units and angle 36° at top center.

To get the height of the triangle you apply formula for tangent of an angle;

height, h=0.5x /tan 36°

Find area of the small triangle;

Area=1/2 *b*h

where b is base length=0.5x and h is height = 0.5x/tan 36°

Area=1/2*0.5x * (0.5x /tan 36°) Area for one small triangle.

However, you notice that you will have 10 small triangles for the whole pentagon, hence multiply this area by 10 which should be equal to the area of the pentagon given 32.

32=1/2 * 0.5x *(0.5x /tan 36°) *10

32=1.25x² /tan 36°

32*0.7265=1.25x²

18.60=x²

√18.60=x

4.31=x

Measurement of one side is 4.31 units

3 0
3 years ago
Which of the following point-slope form equations could be produced with the points (-1, 4) and (2, -3)?
Nikolay [14]

Answer:

Option B, y + 3 = -7/3(x - 2)

Step-by-step explanation:

<u>Point slope form:  (y - y1) = m(x - x1)</u>

<u />

<u>Step 1:  Find the slope</u>

m = \frac{y2 - y1}{x2 - x1}

m = \frac{-3 - 4}{2 - (-1)}

m = \frac{-7}{2 + 1}

m = \frac{-7}{3}

<u>Step 2:  Plug into the point slope form</u>

(y - 4) = -7/3(x - (-1))

(y - 4) = -7/3(x + 1)

OR

(y - (-3)) = -7/3(x - 2)

y + 3 = -7/3(x - 2)

Answer:  Option B, y + 3 = -7/3(x - 2)

3 0
3 years ago
The Identity function i behaves just like the number 1. That is (F o i)=f and (i o g)= g
andrezito [222]

I'll denote the identity function by \mathrm{Id}. Then for any functions f with inverse f^{-1},

\begin{cases}f\circ\mathrm{Id}=f\\\mathrm{Id}\circ f=f\\f\circ f^{-1}=\mathrm{Id}\end{cases}

One important fact is that composition is associative, meaning for functions f,g,h, we have

(f\circ g)\circ h=f\circ(g\circ h)

So given

h=f\circ g

we can compose the functions on either side with g^{-1}:

h\circ g^{-1}=(f\circ g)\circ g^{-1}=f\circ(g\circ g^{-1})

then apply the rules listed above:

h\circ g^{-1}=f\circ\mathrm{Id}=f

3 0
3 years ago
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