Answer:
Step-by-step explanation:
<u>Parallelogram</u>
It's a quadrilateral formed by two pairs of parallel sides. The opposite sides have equal lengths.
We are given a parallelogram with opposite sides of 3x+1 and 6x-4. They must be equal, thus:
6x - 4 = 3x + 1
Subtracting 3x:
3x - 4 = 1
Adding 4:
3x = 5
Dividing by 3:
Answer:
x = 3
Step-by-step explanation:
We require the equations of the 2 lines.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
The line has slope = 7, hence
y = 7x + c ← is the partial equation
To find c substitute (6, 28) into the partial equation
28 = 42 + c ⇒ c = 28 - 42 = - 14
y = 7x - 14 → (1)
Calculate the slope of the second line using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 7) and (x₂, y₂ ) = (- 1, - 13)
m = =
= 5, thus
y = 5x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 7), then
7 = 15 + c ⇒ c = 7 - 15 = - 8
y = 5x - 8 → (2)
Solving (1) and (2) by equating the right sides
7x - 14 = 5x - 8 ( subtract 5x from both sides )
2x - 14 = - 8 ( add 14 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
The x- coordinate of the point of intersection is x = 3
Answer:
14%
Step-by-step explanation:
y × 500,000 = 100 × 70,000
500,000y = 7,000,000
500,000y ÷ 500,000 = 7,000,000 ÷ 500,000
y = 14