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never [62]
3 years ago
11

Solve each system using substitution or elimination. Show all required work. X^2+y^2=40 -x+y=-8

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

Answer:

steps and answers in the pic..hope u can understand the calculations...

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What is the solution of this system of linear equations?
creativ13 [48]

Answer: D

Step-by-step explanation:

Consider the first equation. Subtract 3x from both sides.

y−3x=−2

Consider the second equation. Subtract x from both sides.

y−2−x=0

Add 2 to both sides. Anything plus zero gives itself.

y−x=2

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

y−3x=−2,y−x=2

Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.

y−3x=−2

Add 3x to both sides of the equation.

y=3x−2

Substitute 3x−2 for y in the other equation, y−x=2.

3x−2−x=2

Add 3x to −x.

2x−2=2

Add 2 to both sides of the equation.

2x=4

Divide both sides by 2.

x=2

Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.

y=3×2−2

Multiply 3 times 2.

y=6−2

Add −2 to 6.

y=4

The system is now solved.

y=4,x=2

6 0
3 years ago
Read 2 more answers
A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has
statuscvo [17]

Answer:a) 54/55

b) 100/110

c) 99/110

Step-by-step explanation:

a)Probability of ordering 4= 9/12×3/11×2/10×1/9 = 54/11880

Probability of 4 good units= 4 × 54/11880

= 216/11880

1/55

1-(1/55) = 54/55

b)Probability of 2 good units= 2 × 54/(11880)

= 108/11880

= 1/110

1- (1/110)= 100/110

c) Probability of exactly 2 units not good= 1 -(100/110) =99/110

8 0
3 years ago
Which number is composite 2, 5, 11, 9,
kykrilka [37]

Answer:

9

Step-by-step explanation:

3*3 =9

4 0
3 years ago
Find the exact value of sec(-4π/3
melisa1 [442]
<span>Find the exact value of sec(-4π/3).  Note that one full rotation, clockwise, would be -2pi.  We have to determine the Quadrant in which this angle -4pi/3 lies.  Think of this as 4(-pi/3), or 4(-60 degrees).  Starting at the positive x-axis and rotating clockwise, we reach -60, -120, -180 and -240 degrees.  This is in Q III.  The ray representing -240 has adj side = -1 and opp side = to sqrt(3).

Using the Pyth. Theorem to find the length of the hypo, we get hyp = 2.

Thus, the secant of this angle in QIII is hyp / adj, or 2 / sqrt(3)    (answer).  This could also be written as (2/3)sqrt(3).


</span>
3 0
3 years ago
What is the greatest number which can be made using each of the digits 5,3,1,4,7?
Xelga [282]
75,314 because it is only 5 numbers so this is correct.
4 0
3 years ago
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