9514 1404 393
Answer:
D. (4, -6)
Step-by-step explanation:
Since the heights of both triangles are the same (CD), their areas are proportional to their bases. That is ...
AC : CB = 3 : 4
In terms of coordinates, ...
4(C -A) = 3(B -C) . . . . multiply the ratios by 4(CB)
4C -4A = 3B -3C . . . .simplify
7C = 4A +3B . . . . . . . isolate C
C = (4A +3B)/7 . . . . . divide by 7
C = (4(1, -9) +3(8, -2))/7 = (28, -42)/7 . . . . substitute given coordinates
C = (4, -6)
Answer:
-4 < x < -8
Step-by-step explanation:
Given solve -x > 8 or -x < 4.
Solve each inequality first
-x > 8
Divide both sides by -1
-x/-1 > 8/-1
x < -8
Also if -x < 4
Divide both sides by -1
-x/-1 < 4/-1
x > -4
Combine both inequality x < -8 and x > -4
-4 < x < -8
<em>Hence the solution set is -4 < x < -8</em>
Answer:
Part A)
Part B) Length: 17.5 feet and Width: 14 feet
Step-by-step explanation:
Part A) Create an equation to represent the area of the basketball section A, in terms of the width W.
Let
L ----> the length of the rectangular basketball section
W ---> the width of the rectangular basketball section
we know that
The area of the rectangular basketball section is equal to
----> equation A
The length of the section will be 1.25 times the width of the section
so
----> equation B
substitute equation B in equation A

Part B) Jackson decides to make the area of the basketball section 245 square feet. What are the dimensions, in feet, of the basketball section?
we have

so

solve for W

Find the value of L
substitute the value of W in the equation B

therefore
The dimensions are :
Length: 17.5 feet
Width: 14 feet
Answer:
3/32
Step-by-step explanation:
The first question should be 3/8 as there are 3 "1"s on the spinner. The answer to the last one is "3/32". You take the 3/8 chances to get a one and multiply that by 1/4 to get a "B". Once you multiply you get .09375 which is 3/32 when converted. Please let me know if this is incorrect.