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Pavel [41]
3 years ago
9

2. Which equation is not an example of a direct variation?

Mathematics
1 answer:
zaharov [31]3 years ago
8 0
Yeshgggghhgfgggggggy. B be cc
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The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?
Lilit [14]

Answer:

A

Step-by-step explanation:

if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}

center is (2,-4)

r=√(2²+(-4)²-(-14))

=√(4+16+14)

=√(34)

eq. of circle is (x-2)²+(y+4)²=34

or

(x²-4x)+(y²+8y)=14

(x²-4x+4)+(y²+8y+16)=14+4+16

(x-2)²+(y+4)²=34

4 0
3 years ago
2. Write the slope-intercept form of the equation for each graph described. Line passing through (-5, 12) and parallel to the li
Nostrana [21]

Answer:   y = 2x+22

========================================================

Explanation:

The equation y = 2x+5 is in the form y = mx+b

m = 2 = slope

b = 5 = y intercept

Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.

Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c

y = mx+c

12 = 2(-5)+c

12 = -10+c

12+10 = c

22 = c

c = 22

Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22

The equation of the parallel line is y = 2x+22

The graph is below.

7 0
2 years ago
Account A has a simple annual interest rate of 2% and Account B has a simple annual interest rate of 3.5%. How much more interes
Nookie1986 [14]

9514 1404 393

Answer:

  0.015x

Step-by-step explanation:

The amounts earned at the different rates are ...

  at 2%: 0.02x

  at 3.5%: 0.035x

The difference in earnings is ...

  0.035x -0.02x = 0.015x

4 0
2 years ago
A box of granola bars contains 3 chocolate chip bars, 2 peanut butter bars, 1 lemon bar, and 4 raisin bars. Iesha will randomly
ella [17]

Answer:

2/45

Step-by-step explanation:

Note this selection is done without replacement hence after each selection sample size will reduce

Given data

Samples 3 chocolate chip bars,

2 peanut butter bars,

1 lemon bar, and

4 raisin bars

Sample size S= [3+2+1+4]= 10

Probability that first selection is lemon = 1/10

Probability that second selection is raisin = 4/9

Hence the probability that the first bar Iesha selects will be lemon and the second will be raisin= 1/10*4/9

= 4/90= 2/45

3 0
2 years ago
Jane & Jim spent the same amount of money today. If Jim spent
Assoli18 [71]

Answer:4$

Step-by-step explanation

6 0
3 years ago
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