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
The answer in slope-intercept form would be:
y=1/3x-3
Answer:
The distance would be 6.7 or 3✓5
Step-by-step explanation:
Im sure there's a faster way to find this, but I'm in 8th grade sooo yeah.
First things first we can use the equation
d=✓(X2-X1)*2+(Y2-Y1)*2
X2= 8
X1= 5
Y2= 13
Y1= 7
From here, you plug in the values and do as followed. You subtract the values to get the answer. For example 8-5 would get us (3)*2.
From here you square the 3 to get 9. You also do the same to the right side of the equation.
Now you have d=✓(3)*2 + (6)*2
From here you square it and you get d=✓9+36
Now we have: d✓45
Now we square the 45 to get 6.7082..., but we round the answer to get 6.7!
Hope this helps! If you have any questions please feel free to ask, as I understand the struggle of math! :)
Answer:
a = 51°
b = 67°
Step-by-step explanation:
Angle a is equal to 51 since it is vertically opposite to the angle on top of it.
Angles in a triangle add up to 180 so Angles a,b and 62 should add up to 180:
a+b+62=180
51+b+62=180
b= 180-(51+62)
b= 180-113
b= 67
Okay, 9 less than 17 would be (8) 3x17 = 51
9 less than 3 times 17 is equal to 51
hope this helps
