You can solve this problem by using the pythagorean theorem.

Where the a- and b-values represent the sides of the triangle. Since the park is a sqaure, each side is equal. This means that both the a-value and the b-value are the same. Now, you must find the c-value.
145^2 + 145^2 = c^2
21,025 + 21,025 = c^2
42,050 = c^2 *now square root each side of the equation.*
205.06 = c
The length of the diagonal line is 205 meters.
It means that all values of x would make it true. Also take a look at the equation when we simplify:
4x + 7 = 1 + 4x + 6
Which simplified turns into
4x + 7 = 4x + 7
So no matter what value you put for x, it will be the same on both sides, making all values true for x.
Answer:
60%
Step-by-step explanation:
First, find the total number of sixth graders
To do this, add the number of girls and boys together
girls+boys
There are 60 girls and 90 boys
60+90
150
Now, find the percent of sixth graders that are boys
To do this, divide the number of boys by the total number of sixth graders
boys/total sixth graders (part/whole)
There are 90 boys, and 150 total sixth graders
90/150
0.6
Convert to a percent. Multiply by 100 or move the decimal place two spots to the right
0.6*100=60
0.6-->6.0-->60.
So, 60% are boys
Answer:
The constant of variation is $1.50
Step-by-step explanation:
Given
Point 1 (1,2)
Point 2 (5,8)
Required
Constant of Variation
Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.
Having said that,
the constant variation can be solved by calculating the gradient of the graph;
The gradient is often represented by m and is calculated as thus

Where

By substituting values for x1,x2,y1 and y2; the gradient becomes




Hence, the constant of variation is $1.50
Answer:
Sorry this is late and I think this is right.
They are both parallel, they have the same slope, and do <em>not </em>intersect. If you were to draw a slope out for it, you would find this to be true.
For example: Say the question called for you to explain why there aren't any solutions to these system of inequalities:
<em>y < - 1/2x -3</em>
<em>y > 1/2x + 2</em>
<em>y= -x/2 -3</em> and <em>y= -x/2 + 2 </em>have the same exact slope, are parallel, and never intersect. The first line is 5 units below the second line when x = 0. Because the lines are parallel, it is always below the second line. The solutions of y < - x/2 -3 are the points in the plane below the first line. The solutions of y > 1/2 + 2 are points above the second line.
I hope this helps you. Good luck on whatever you're working on and stay safe! Please let me know if this helped you or didn't.