Answer:
15 cm
Step-by-step explanation:
Answer:
AB = 5/4 y - 1 = 5/4 (12/13) -1 = 2/13
AC= 7/3 y - 2 = 7/3 (12/13) -2 = 2/13
Step-by-step explanation:
Because it is a equilateral triangle, it means all sides have the same length.
AB = AC
5/4 y - 1 = 7/3 y - 2
5/4 y - 7/3 y = -2 +1
-13/12 y = -1
y = 12/13
input y to the equation.
AB = 5/4 y - 1 = 5/4 (12/13) -1 = 2/13
AC= 7/3 y - 2 = 7/3 (12/13) -2 = 2/13
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The product property is the answer. You must add exponents when multiplying those with the same bases.
Answer:
![1.\ y = 2x - 1](https://tex.z-dn.net/?f=1.%5C%20y%20%3D%202x%20-%201)
![2.\ y = -4x + 5](https://tex.z-dn.net/?f=2.%5C%20y%20%3D%20-4x%20%2B%205)
Step-by-step explanation:
Solving (1): The line equation in y intercept form;
Given
![m = 2](https://tex.z-dn.net/?f=m%20%3D%202)
![(x_1,y_1) = (4,7)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%284%2C7%29)
This is calculated using the following formula
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
Substitute values for m, x1 and y1
![y - 7 = 2(x - 4)](https://tex.z-dn.net/?f=y%20-%207%20%3D%202%28x%20-%204%29)
Open Bracket
![y - 7 = 2x - 8](https://tex.z-dn.net/?f=y%20-%207%20%3D%202x%20-%208)
Make y the subject
![y = 2x - 8 + 7](https://tex.z-dn.net/?f=y%20%3D%202x%20-%208%20%2B%207)
![y = 2x - 1](https://tex.z-dn.net/?f=y%20%3D%202x%20-%201)
Solving (2): The line equation in y intercept form;
Given
![m = -4](https://tex.z-dn.net/?f=m%20%3D%20-4)
![(x_1,y_1) = (-1,9)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%28-1%2C9%29)
This is calculated using the following formula
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
Substitute values for m, x1 and y1
![y - 9 = -4(x - (-1))](https://tex.z-dn.net/?f=y%20-%209%20%3D%20-4%28x%20-%20%28-1%29%29)
![y - 9 = -4(x + 1)](https://tex.z-dn.net/?f=y%20-%209%20%3D%20-4%28x%20%2B%201%29)
Open Bracket
![y - 9 = -4x - 4](https://tex.z-dn.net/?f=y%20-%209%20%3D%20-4x%20-%204)
Make y the subject
![y = -4x - 4 + 9](https://tex.z-dn.net/?f=y%20%3D%20-4x%20-%204%20%2B%209)
![y = -4x + 5](https://tex.z-dn.net/?f=y%20%3D%20-4x%20%2B%205)
Answer:
75.5 % of all candidates passes
Step-by-step explanation:
36000 x .45 = 16200 x .7 = 11,340 girls passed
36000 x .55 = 19800 x .8 = 15,840 boys passed
total of boy and girls who passed = 27,180
27,180 out of 36,000 equals 75.5%