We don’t know the value of the shorter side, so we will categorize it as x. Side 2 is just 4 feet longer than x, so we would add 4 on to it. Side 3 has double the x, so we would multiply it be 2 for 2x, and subtract the 4 feet from it.
Side 1: x
Side 2: x + 4
Side 3: 2x - 4
If the perimeter is 64 feet, then all of the sides have to add up to it. Therefore, first we add all of the side lengths up:
x + x + 4 + 2x - 4 = 4x.
Now we put 4x, the amount of all these sides added up, equal to the perimeter of 64.
4x = 64. Divide both sides by 4 to get x by itself.
x = 16.
Now that we know x is 16, we will substitute it in for all the side lengths’ equations.
We know that Side 1 was just x, so that will be 16. Since Side 2 was 4 more than x, we’d do 16 + 4 = 20. We substitute 16 in for x in Side 3’s equation: 2(16) - 4 = 32 - 4 = 28.
Therefore, the final lengths of all the sides are:
Side 1: 16
Side 2: 20
Side 3: 28
Top left: parallel
Top right: perpendicular
Bottom left and right: intersecting
Let’s start off by subtracting 5 from 10 leaving 5 dollars
if 6 tickets cost 3 dollars she can only buy 6 tickets because she will only have 2 dollars left
Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
First, find slope using the given coordinates. Formula for slope: y₁ - y₂ / x₁ - x₂.
Our coordinates are (-2, 5) and (2, -7). Plug them in and simplify.
5 - (-7) / -2 - 2
5 + 7 / -4
12/-4
-3
The slope is -3. The equation becomes y = -3x + b.
To find b, plug an (x, y) coordinate on the line in for x and y in the equation and solve. I'll use (-2, 5)
y = -3x + b
5 = -3(-2) + b
5 = 6 + b
-1 = b
The y-intercept is (0, -1). The equation can now be completed!
<h3>
Answer:</h3>
y = -3x - 1
Answer:
The sports facility is 2,960,000 sq. m in area.
Step-by-step explanation:
The dimension of the sport facility = 0.74 km by 4 km
The Length of the facility = 4 km
The width of the facility = 0.74 km
Now, 1 km = 1000 meters
⇒ 4 km = 4 x (1000) = 4000 meters
and 0.74 km = 0.74 x (1000) = 740 meters
Now, AREA OF THE RECTANGLE = LENGTH x WIDTH
So, the area of the facility = 4000 m x 740 km
= 2,960,000 sq. m
Hence, the sports facility is 2,960,000 sq. m in area.
