Answer: u=7
Step-by-step explanation:
-6= -2u+4(u-5)
-6= -2u+4u-20
-6= 2u-20
14= 2u
7=u
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11
Answer:
The tube are similar in shape.
The height of the small tub is 5 cm.
The volume of the small tube is 150 cm3.
The volume of the large tub is 500 cm3.
Work out the height of the large tub.
Give your answer correct to 3 significant figures.
Step-by-step explanation: Hope this help(:
Answer:
Step-by-step explanation:
Since it's a perfect square, we can simply use the formula:
Given the perfect square expression 
. Apply perfect square formula:
Knowing laws of exponent is mandatory when it comes to algebra. Recall that:
Apply laws of exponent to simplify the terms or expression:
Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:
