Answer:
x= 1
y= -2
Step-by-step explanation:
equation (1): y= -3x+1
equation (2): y=x-3
solve the system of equations by substitution:
step1: sub ( x-3 ) for y in equation 1:
y = -3x+1
x-3 = -3x+1
step2: simplify the equation to get x:
(add 3 for both sides)
x = -3x+4
(add 3x for both sides)
4x = 4
(divide 4 from both sides)
x = 1
step3: sub the value of x (x=1) in equation 2:
y = x-3
y = 1-3
step4: solve the equation to get y:
y = -2
Answer:
Answer:
Measure of ∠y is 90°
Step-by-step explanation:
We see that,
∠x and ∠y are vertical angles and ∠x, 40°, 50° are in a straight line.
Since, we know, Sum of angles in straight line is 180°.
Then, ∠x + 40° + 50° = 180°
i.e. ∠x = 180° - 90°
i.e. ∠x = 90°
Also, we know, 'Vertical angles have equal measures'.
So, ∠y = ∠x = 90°
Hence, measure of ∠y is 90°
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Step-by-step explanation:
Answer:
c
Step-by-step explanation:
When you provide heat (thermal energy) to the gas molecules, their root mean square velocity (kinetic energy) increases, as a result they the gas exerts a higher pressure on the walls of the balloon and the balloon expands.
