Answer: D. (4,3)
The x coordinates of A and B are 9 and -1 in that order. Add them up to get 9+(-1) = 9-1 = 8. Then divide by two to end up with 8/2 = 4. The midpoint has an x coordinate of 4.
Repeat for the y coordinates. Add them up: 8+(-2) = 8-2 = 6. Then divide by two: 6/2 = 3. The midpoint has an y coordinate of 3.
Those two coordinates pair up to get (x,y) = (4,3) which is the midpoint of segment AB.
Answer:
<h3>The x intercept is 1/2</h3><h3>The y intercept is - 4</h3>
Step-by-step explanation:
y = 8x - 4
First to find the y intercept let x = 0
Substitute the value of x into the equation
That's
y = 8(0) - 4
y = - 4
<h3>The y intercept is - 4</h3>
To find the x intercept let y = 0
Substitute the value of y into the equation
that's
8x - 4 = 0
8x = 4
Divide both sides by 8
x = 1/2
<h3>The x intercept is 1/2</h3>
Hope this helps you
The arc’s length is:
6.28 ft
If this helped, please mark brainliest.
Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answe
wariber [46]
Answer:
(a)
(b)
(c)
<em>They are not equal</em>
<em></em>
Step-by-step explanation:
Given
Solving (a):
B n C means common elements between B and C;
So:
So:
u means union (without repetition)
So:
Using the illustrations of u and n, we have:
Solve the bracket
Substitute the value of set C
Apply intersection rule
In above:
Solving A u C, we have:
Apply union rule
So:
<u>The equal sets</u>
We have:
So, the equal sets are:
and
They both equal to 
So:
Solving (b):
So, we have:
Solve the bracket
Apply intersection rule
Solve the bracket
Apply union rule
Solve each bracket
Apply union rule
<u>The equal set</u>
We have:
So, the equal sets are:
and
They both equal to
So:
Solving (c):
This illustrates difference.
returns the elements in A and not B
Using that illustration, we have:
Solve the bracket
Similarly:
<em>They are not equal</em>
To write an equation in point-slope form, we need the slope and a point.
The points given to us by the explanation are (3, 63) and (5, 57) where the x value represents the number of days without rain and the y value represents the depth of the water in inches.
To find the slope, we use the expression:
Change in y/change in x = 63-57/3-5
When simplified, we get: 6/-2 = -3
Therefore, the slope is -3
Note that we can use either of the points in our equation and we will still get the same equation.
Now we just need to substitute in our values:
y = -3(x-3) + 63 which is sometimes written as y - 63 = -3(x-3)
Hope this helps!
