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3 years ago

use the substitution method to solve the system of equations choose the correct ordered pair X+y=10 y=x-6

Mathematics

1 answer:

dimaraw [331]3 years ago

3 0

Answer:

(8,2)

Step-by-step explanation:

Set up the equation like this: x+x-6=10. You filled in x-6 for y because the second equation says y=x-6. When you solve, you add 6 to both sides of the equation (this is the addition property of equality in geometry). You now have x+x=16. Now, you can combine like terms (this would be the proof combine like terms in geometry) and you would be able to combine like terms because each of those x's are truely 1x+1x because a variable without a coefficient (the number in front of the variable) is an understood 1. So, (1)x+(1)x=2x. So, you have 2x=16. Now, divide by 2 on each side to get that x alone. This is the division property of equality in geometry. You find x=8. You now have the point (8,y) Now to find the y, plug in the 8 for x in one of the equations. If you plug it into the equation x+y=10 you get 8+y=10. Now subtract 8 from both sides (Subtraction property of equality in geometry). y=2. You get the same answer if you plug in 8 for the other equation. y=8-6. 8-6 is 2. Hope this helps! :)

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I need help for this, thanks

gulaghasi [49]

(a) Yes all six trig functions exist for this point in quadrant III. The only time you'll run into problems is when either x = 0 or y = 0, due to division by zero errors. For instance, if x = 0, then tan(t) = sin(t)/cos(t) will have cos(t) = 0, as x = cos(t). you cannot have zero in the denominator. Since neither coordinate is zero, we don't have such problems.

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(b) The following functions are positive in quadrant III:

tangent, cotangent

The following functions are negative in quadrant III

cosine, sine, secant, cosecant

A short explanation is that x = cos(t) and y = sin(t). The x and y coordinates are negative in quadrant III, so both sine and cosine are negative. Their reciprocal functions secant and cosecant are negative here as well. Combining sine and cosine to get tan = sin/cos, we see that the negatives cancel which is why tangent is positive here. Cotangent is also positive for similar reasons.

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3 years ago

A hydraulic lift is to be used to lift a 2000-kg weight by putting a weight of 25 kg on a piston with a diameter of 10 cm. Deter

grigory [225]

Answer:

88 centimeters is the diameter of the cilinder

Step-by-step explanation:

The pressure on both ends of the lift must be the same. Assuming the piston is cilindrical, its area will be A=π*r² where r is half the diameter

Since pressure P=F/A And P1=P2

F1=2000kg.g

A1=π*r²

F2=25kg.g

A2=π*0.05²

2000/(π*r²)=25/(π*0.05²)

and we solve for A1

r²=2000*0.05²/25

$r=\sqrt{\frac{2000*0.05^2}{25}}$

r= $\sqrt{5}$ 20*0.05/5=0.44m or 44cm

This is the radius, meaning that the diameter will be twice this number

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3 years ago

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Marizza181 [45]

The length is 15 metres,the width is 9 m,and the area is 135 m

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4 years ago

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Dmitriy789 [7]

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4 years ago

Write 6.39 repeated as a mixed number in simplest form? Please make sure you simply!!!!

AysviL [449]

Answer: Hope this helps

Step-by-step explanation:

6.39 = 639

100

= 639

100

as a fraction

To convert the decimal 6.39 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

6.39 = 6.39

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

6.39

= (6.39 × 100)

(1 × 100)

= 639

100

(This fraction is alread reduced, We can't reduce it any further).

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 639

100

is also equal to 639

100

when expressed as a mixed number

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3 years ago