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Kruka [31]
3 years ago
15

Write slope intercept form of th equation of each line

Mathematics
1 answer:
Katen [24]3 years ago
5 0

Answer:

y = 8/5x + (-4) or y = 8/5x -4

Step-by-step explanation:

Slope-intercept form is written like this:

            y = mx + b

The variable <em>m</em>, represents slope and <em>b</em>, represents the y-intercept.

To find slope, you have to find the rise/run or in other words, change of y over change of x.

From the look of the line, the slope has to be positive because the line is going up.

To go from the bottom point to the top, we have to go up 8 points and go to the right 5 points. Thus the slope is 8/5.

Now for the y-intercept. This part is easy. Just ask yourself this...

"Which of the two points is on the y-axis?"

In this case, it is the bottom point which is -4.

So your equation should look like this:

y = 8/5x + (-4)

   or y = 8/5x - 4 because when you have a plus sign and a minus sign, the result is negative.

hope this helps :)

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y = -2(x-5)^2 + 7

That's vertex form for a parabola y=a(x-p)^2+q and we read off vertex (p,q) as

Answer: Vertex (5,7)

The negative <em>a</em> tells us this is a downward opening parabola (upside down from the usual y=x^2. I remember CUP - Concave Up Positive; here <em>a </em>is negative so not a cup, instead concave <em>down.</em> The same rule applies to second derivatives in calculus so memorize it now and use it later.

Answer: downward

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3). AFTER PAYING HER BILLS CAROL HAS -$45 IN HER CHECKING
bazaltina [42]
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Which expression represents the area of the shaded region?
irina1246 [14]

Given:

A circle of radius r inscribed in a square.

To find:

The expression for the area of the shaded region.

Solution:

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Where, r is the radius of the circle.

Area of a square is:

Area=a^2

Where, a is the side of the square.

A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

a=2a

So, the area of the square is:

A_2=(2r)^2

A_2=4r^2

Now, the area of the shaded region is the difference between the area of the square and the area of the circle.

A=A_2-A_1

A=4r^2-\pi r^2

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Step-by-step explanation:

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Last year the girl's basketball team had 8 fifth-grade students and 7 sixth-grade students.What was the ratio of sixth-grade stu
Rashid [163]

Answer:

The ratio of sixth-grade students to fifth-grade students on the team was <u>7 : 8</u>.

Step-by-step explanation:

Given:

The girl's basketball team had 8 fifth-grade students and 7 sixth-grade students.

Now, to find the ratio of sixth-grade students to fifth-grade students on the team.

<em>Number of fifth-grade students = 8.</em>

<em>Number of sixth-grade students = 7.</em>

Now, to get the ratio of sixth-grade students to fifth-grade students on the team :

Number\ of\ sixth-grade\ students:Number\ of\ fifth-grade\ students

=7:8.

Therefore, the ratio of sixth-grade students to fifth-grade students on the team was 7 : 8.

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