Why?
The first thing we need to do is find the area of the triangle, we can to that by subtracting the area of ABCD from ACBE, then, we can use the formulas to calculate the area for both triangle and rectangle to find "f" and "g".
Calculating we have:
Now, we can calculate "f" by using the formula to calculate the area of the triangle:
Now, finding "g" by using the formula to calculate the area of the rectangle, we have:
Hence, we have that:
Have a nice day!
Answer:
The correct answer is option D.
Step-by-step explanation:
if the pair of equation has one or more than one solution then it is said to be consistent.
- Only one solution , then independent system.
- More than one solution , then dependent system.
if the pair of equation has no solution then it is said to be inconsistent.
Given : x - 3y = 4 ...[1]
2x - 6y = 8 ...[2]
Solution :
Solving equations with the help of Substituting methods:
x - 3y = 4
x = 4 +3y
Putting value of x from [1] in [2]:
0 = 0
Given , system of equation will have infinite solution. Hence consistent and dependent.
The given system of equations will have infinite solutions.
Answer:
WQ = 2.67 to the nearest hundredth.
Step-by-step explanation:
The area of triangle PQX = 1/2 * PX * QX.
The area of the rectangle = 8 * YX .
But YX = 2 PX so its area = 8 *2PX = 16*PX.
We are given that area of PQX is 1/6 of the area of WXYZ, so we have the equation:-
16 PX = 6* 1/2*PX * QX
16 = 3QX
QX = 16/3 = 5.33
Finally WQ = WX - QX
= 8 - 5.33
= 2.67
Answer:
1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-17 - (-8) / -5 - 13
-9 / - 18
= 1/2
5x+y = -23
by substitution
A)
5(-3) + (-4) = -23
-15 - 4 = -23
-19 = -23
Wrong
----------------
B)
5(-5) -3 = -23
-25 - 3 = -23
-28 = -23
Wrong
-----------------
C)
5(-4) - 3 = -23
-20 - 3 = -23
-23 = -23
Right ✅✅✅✅