Answer:
Question 5: y = - 
x + 6
Question 6: y = 
x + 100
Question 7: y = -10x + 45
Answer:
The measurement of the other parallel side which is the base of the parallelogram is 4.3 m
Step-by-step explanation:
Mathematically, the area of a trapezoid can be calculated using the formula below;
A = 1/2 (a + b) c
where a and b are the parallel sides and c is the height
We have one parallel sides and the height including the value of the area
Let’s say A = 13
a = 2.2m
h = 4.0 m
Plugging these values, we have;
13 = 1/2(a + 2.2) 4
26 = 4(a + 2.2)
26 = 4a + 8.8
26-8.8 = 4a
4a = 17.2
a = 17.2/4
a = 4.3 m
If we multiply the bottom equation by 2 and move x to the right, it becomes:
4y = 2x-38
Now we can substitute it for the 4y in the top equation:
3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3
Then 4y = 2*3-38 => y = -8
So the solution is (3,-8)
Answer:
During the first year he had an annual interest of 12%, and in the second year of 25%
Step-by-step explanation:
To calculate the interest of the first year:
(Initial capital of the first year / final capital of the first year) - 1 = interest of the first year
(300/336) - 1 = 0.12 = 12%
To calculate the interest of the second year:
(Initial capital of the secondyear / final capital of the second year) - 1 = interest of the second year
(336/420) - 1 = 0.25 = 25%
Sure I will give two examples
Application of tangents
1. If we are traveling in a car around a corner and we drive over something slippery on the round ( like water , ice or oil ) , our car starts to skid
It continue in a direction tangent to the curve
Application of tangents
2. Have you ever sat on a merry- go around
If yes , then you would understand
From your experience when I tell you that the force your experience is towards the centre of merry- go around but your velocity ( the tendency of motion) is in the way toward which your body pointing
Another way saying the same thing would be to let you know that your velocity at any point is tangent while force .
At any point is normal to the circle along which you are moving
Can you draw connection between both the ways of saying the same thing?
Have this two example help you
Good luck :D
