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Fudgin [204]
1 year ago
8

Write the slope-intercept form of the equation of the line through the given point with the given

Mathematics
1 answer:
kupik [55]1 year ago
8 0

Answer: y=-1/2x+1

Step-by-step explanation: plug in numbers to find y intercept (b).

-1=-1/2(4)+b

-1=-2+b

b=1

y=-1/2x+1

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What add up to get 1 but multiplies to get -42
Tems11 [23]

Answer:

7 and -6

Step-by-step explanation:

7 + (-6) = 1

7 * (-6) = -42

6 0
2 years ago
PLEASE HELP ME WITH MY GEOMETRY HOMEWORK!!!!
Oduvanchick [21]
I don’t see the question
7 0
3 years ago
What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE
maks197457 [2]

Given:

The equation of a line is:

2y+3x=10

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

2y+3x=10

For x=0,

2y+3(0)=10

2y+0=10

y=\dfrac{10}{2}

y=5

For x=2,

2y+3(2)=10

2y+6=10

2y=10-6

2y=4

Divide both sides by 2.

y=\dfrac{4}{2}

y=2

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

(x,y)\to (3x,3y)

Using this rule, we get

A(0,5)\to A'(3(0),3(5))

A(0,5)\to A'(0,15)

Similarly,

B(2,2)\to B'(3(2),3(2))

B(2,2)\to B'(6,6)

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-15=\dfrac{6-15}{6-0}(x-0)

y-15=\dfrac{-9}{6}(x)

y-15=\dfrac{-3}{2}x

Multiply both sides by 2.

2(y-15)=-3x

2y-30=-3x

2y+3x=30

Therefore, the equation of the line after the dilation is 2y+3x=30.

3 0
2 years ago
Prove that the two circles shown below are similar. ​
Setler [38]

Answer:

The scale factor is \frac{R_{A}}{R_{C}}=\frac{5}{2}

<u>We can say that both circles are similar.</u>

Step-by-step explanation:

If we move the little circle to the center of the bigger circle, so the <u>translate vector will be (3,5).</u>

Now we realize that the bigger circle is just a dilation of the smaller circle, the<u> scale factor is:</u>

R_{A}=5

R_{C}=2

\frac{R_{A}}{R_{C}}=\frac{5}{2}

Therefore, <u>we can say that both circles are similiar.</u>

<u />

I hope it helps you!

8 0
3 years ago
Jason is driving at a speed of 55 miles per hour. Let h represent the number of hours Jason drives at this speed. Which expressi
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A or D I’m pretty sure it’s A
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