Answer:
Ben needs to get a 99% on his second test
Step-by-step explanation:
The average is the sum of both test scores, divided by the total number of test scores (2).
Let x by the grade Ben must receive on his second test.
(89 + x)/2 = 94
Multiply by 2 on both sides
89 + x = 188
Subtract 89 on both sides
x = 99
Check work:
(89 + 99)/2 = 188/2 = 99
Answer:
3
Step-by-step explanation:
We can find the slope of the given line in this two way:
1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3
2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x
3y = -x-15
y = -1/3x - 5
Also in this case we have -1/3
Two perpendicular lines have the the product of the their slope that is -1
So the slope that we are finding is 3
In fact = 3 x -1/3 = -1
Answer:
x=3
Step-by-step explanation:
5х - 2 = 3х + 4
5х - 3х = 4 + 2
2х = 6
х = 6/2
х = 3
Hope this helps!
You can solve all of these by using the distance formula. I have shared it below.
Answer:
y = 4/3x - 4
Step-by-step explanation:
to find the equation of a line with 2 points, we use the slope formula which is:
we will use (6,4) as ![x_1[tex] and [tex]y_1](https://tex.z-dn.net/?f=x_1%5Btex%5D%20and%20%5Btex%5Dy_1)
and we will use (-3,-8) as ![x_2[tex] and [tex]y_2](https://tex.z-dn.net/?f=x_2%5Btex%5D%20and%20%5Btex%5Dy_2)
. we plug this into the slope formula:
-8 - 4 = -12
-3 - 6 = -9
the slope is 
but we can simplify this further by dividing the fraction by -3
-12 / -3 = 4
-9 / -3 = 3
the simplified version of the slope is 
we can write this in slope-intercept form which is y =mx + b, with b being the y intercept and m being the slope
y = 4/3x + b <--- we need to solve for <em>b</em> in order to find the y intercept, so substitute x & y for a point on the line, we can use any point we are given, but for this example i will use (6,4)
4 = 4/3(6) + b < multiply 4/3 x 6
4 = 8 + b < subtract 8 from both sides
-4 = b
our y intercept would be (0,-4)
the equation looks like the following:
y = 4/3x - 4, which is our answer
