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Aleks [24]
3 years ago
6

Given the equation of the circle x2+6x+y2=7 use completing the square and factoring to write the equation in standard form

Mathematics
1 answer:
Kitty [74]3 years ago
8 0
<span>x2+6x+y2=7

We add 9 to each side of the equation
</span>
x2+6x+y2 + 9 =7 <span>+ 9</span>

(x+3)**2 + (y+0)**2 = 16

(x+3)**2 + (y+0)**2 = 4**2            (Standard form)


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June runs a little slower than carlos. She ran 1/4 of a mile in 3minutes. How long will it take her to run a full miles
Arlecino [84]
It will take her 12 minutes to run a full mile
6 0
3 years ago
2. The table shows distance, y, that Mario runs in x minutes.
grigory [225]

Answer:

Equation: y = ⅐x

Rate of change: ⅐

Distance = 10 miles

Step-by-step explanation:

Given

The information in the above table

Solving (a): The equation

To get the equation, we need to first calculate the slope (m)

Take any two corresponding values of x and y

(x1,y1) = (7,1)

(x2,y2) = (21,3)

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(21 - 7)

m = 2/14

m = ⅐

The equation is calculated using

y - y1 = m(x - x1)

Substitute values for m, x1 and y1

y - 1 = ⅐(x - 7)

y - 1 = ⅐x - 1

Add 1 to both sides

y = ⅐x

Solving (b) Rate of change:

The calculated slope in (a) above represents the rate of change.

So:

Rate of change = Slope = ⅐

Solving (c): Distance when time is 70 minutes

This implies that x = 70

Substitute 70 for x in y = ⅐x

y = ⅐ * 70

y = 10 miles

4 0
3 years ago
A recipe calls for 1/3/4 cups of sugar. The recipe requires 3/4 cup more flour than sugar and 1/2 cup less butter than sugar.
elena55 [62]

Answer:

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4 0
2 years ago
What is 0.506 rounded in the hundredths
Aleksandr [31]
0.51 The hundredths place increases when it is higher than or equal to 5 in the thousandths place.

4 0
3 years ago
Read 2 more answers
Consider this system of equations. Which equation represents the first equation written in slope-intercept form?
vlada-n [284]

Answer:

y= 5/2x - 5

Step-by-step explanation:

5x   -   2y   =   10

-5x                  -5x (Subtract both sides by 5x to leave y by itself)

-2y = -5x + 10

-2y/-2 = -5/-2 + 10/-2

(Divide both sides by -2 to leave y with no coefficient. -5/-2 = 5/2 because there are two negatives. 10/-2 = -5.

y = 5/2 - 5

4 0
3 years ago
Read 2 more answers
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