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inysia [295]
3 years ago
13

Write the slope-intercept form of the line given point and slope. ( show work if possible please)

Mathematics
1 answer:
irakobra [83]3 years ago
3 0

Answer:

y=5x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=5(x-(-2))

y+5=5(x+2)

y=5x+10-5

y=5x+5

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Find the radius of the circle with equation x²+y²+8x+8y+28=0
galina1969 [7]
<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

<h2>Why?</h2>

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

(x-h)^{2}+(y-k)^{2}=r^{2}

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

x^{2}+y^{2}+8x+8y+28=0

So, solving we have:

x^{2}+y^{2}+8x+8y=-28

(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4

(x^2-(-4))+(y^2-(-4))=4

Now, we have that:

h=-4\\k=-4\\r=\sqrt{4}=2

So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

3 0
3 years ago
How many natural numbers from 78 to 24?
I am Lyosha [343]
54 numbers is the answer
3 0
2 years ago
The first two angles in a triangle are 100 degrees and 70 degrees. What does the third angle have to be?
melamori03 [73]

Answer:

180 degrees

Step-by-step explanation:

because 52 degrees + 104 degrees + 24 degrees = 180 degrees

8 0
3 years ago
Read 2 more answers
A contractor finds that 3 gallons of paint will cover 375 sq ft of wall area. How much wall area could be covered with 18 gallon
ss7ja [257]
It will cover 2050 square feet
8 0
3 years ago
after hitting the black friday sales, sarah bought her dress on sale for $35. She saved 45%, what was the original cost.
8090 [49]

The original cost of the dress is $63.64

Step-by-step explanation:

After hitting the black Friday sales

  • Sarah bought her dress on sale for $35
  • She saved 45%

We need to find the original cost of the dress

The money that Sarah saved is the value of the discount on the dress

Assume that the price of the dress before the black Friday is 100%

∵ The price of the dress before the black Friday is 100%

∵ She saved 45% when she bought it the black Friday

∴ The price of the dress is decreased by 45%

∵ She bought the dress for $35 ⇒ (after discount)

Let use use the percentage method

→ Before discount  :  Discount  :  After discount

→        100%              :       45%     :      55% (100 - 45)

→         x                    :                    :      35

By using cross multiplication

∵ x × 55% = 35 × 100%

- Divide both sides by 55%

∴ x = 63.64

The original cost of the dress is $63.64

Learn more:

You can learn more about percentage in brainly.com/question/12501490

#LearnwithBrainly

3 0
3 years ago
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