Answer:
x is about 5.67
Step-by-step explanation:
Steps:
Divide each side by three:
17x = 3 → x = 5.67
The missing coordinates of the parallelogram is (m + h, n).
Solution:
Given shape is a parallelogram.
Construction: Draw a line joining the diagonals.
<em>In parallelogram, diagonals bisect each other.</em>
Solve it using mid-point formula:
Here
Using this midpoint find the missing coordinate.
Let the missing coordinates by x and y.
Here
Now equate the x-coordinates and y-coordinates.
Multiply by 2 on both sides of the equation, we get
m + h = x, n = y
x = m + h and y = n
Hence the missing coordinates of the parallelogram is (m + h, n).
Answer:
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
Step-by-step explanation:
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
F(x) = 2x² + 7x - 5
g(x) = -8x² - 3x + 5
g(x) + f(x)
-8x² - 3x + 5 + 2x² + 7x - 5
-8x² + 2x² - 3x + 7x + 5 - 5
-6x² + 4x + 0
-2x(3x - 2)