Answer:
The equation of line is y = 4x + c
Step-by-step explanation:
Given the following data;
Slope, m = 1/2
Points = (-6, 12)
To find the equation of line;
Equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
12 = ½(-6) + c
12 = -3 + c
c = 12 + 3
c = 15
Therefore, the equation of line is y = 4x + c
Answer:
Step-by-step explanation:
So we know that:
And we want to figure out the value of y when x is 8.
So first, substitute 8 into the first equation:
Solve for t. Subtract 2 from both sides:
Divide both sides by 2:
Now, substitute this into the second equation for t:
Subtract:
So, the value of y is -18.
And we're done!
Answer:2.828
Step-by-step explanation:
Given
Surface area of a cube is increased by a factor of 2
Let the original surface area be A
such that new surface area is 2A
for volume we need to know new radius
where r'=new radius
r=original radius
New volume(V')
Original volume
Answer: You paid 3/4 of the full price.
Explanation: Total cost of the two shirts = shirt one ($12) + shirt two (half price, so $6) or $18 all together. If you had paid full price for both shirts, it would have cost you $24, or $12 times 2. 24 - 18 = 6, so you saved six dollars. 24 (full price) divided by 6 = 4, so we know that $6 is 1/4 of the full price. Because of this, we know that the amount you spent ($18) was 3/4 of the full price, since 4/4 (total) - 1/4 (amount saved) = 3/4 (amount spent). Another way to solve this is to simply divide 18 by 24.
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