Answer:
The value of a is -2
Step-by-step explanation:
We are asked to give the value of a
We are provided with some information
We are given slope to be 4
And two points ( -1 ,-1) and
( a, -5)
Given the formula for slope
m = y_2 - y_1 / x_2 - x_1
Points ( -1 , -1)
(a, -5)
x_1 = -1
y_1 = -1
x_2 = a
y_2 = -5
Inserting the values given into
m = y_2 - y_1 / x_2 - x_1
= -5 - (-1) / a - (-1)
= -5 + 1 / a + 1
= -4 / a + 1
We are given the slope to be 4
i. e. m = 4
4 = -4 / a + 1
Cross multiply
4( a + 1) = -4
Open the bracket with 4
4a + 4 = -4
Collect like terms
4a = -4 - 4
4a = - 8
Divide both sides by 4 to get the value of a
4a / 4 = -8/4
a = -2
Therefore, x_2 = -2
the value of a = -2
Answer: 17/2
Step-by-step explanation:
1- <u>Add</u> up the numbers.
2- Cut 2 below the second fraction with 2 cubed, then 2 will be squared.
3- Solve the potentiation (2 squared is equal to four, because 2 * 2 = 4)
4- And, finally, compute 9/2 + 4. It will give 17/2.
Answer:
1. Equatoin = y = 2/9x + 1 Slope = 2/9 Y- interpects= 1
2.Equatoin = y= 7/5x - 7 Slope = 7/5 Y- interpects= 7
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
D (- 5, - 4 ) → D' (- 5, 4 )
E (- 5, - 2 ) → E' (- 5, 2 )
F (- 1, - 2 ) → F' (- 1, 2 )
G (- 1, - 4 ) → G' (- 1, 4 )
Given that, a bike wheel is 26 inches in diameter.
We need to convert bike wheel's diameter in millimeters .
Since, 1 inch = 25.4 millimeters.
So, to convert 26 into mm we need to multiply 26 each sides of this identity to convert this into mm. Hence,
1*26 inch = 25.4 * 26 mm.
So, 26 inches = 660.4 mm.
So, the bike wheel's diameter is 660.4 millimeters.
Hope this helps you!
