60% is the percentage of the females who responded to the survey.
Answer:
The value of x is 200 in the equation 1/5x - 2/3y = 30, when y = 15
Step-by-step explanation:
<u>Given</u>
equation: x - 2/3y = 30
when y = 15
<em>Plug in y:</em>
1/5x - 2/3(15) = 30
1/5x - 10 = 30
<em>add</em> 10 to both sides,
1/5x - 10 + 10 = 30 + 10
1/5x = 40
<em>multiply</em> both sides by 5
1/5x * 5= 40 * 5
x = 200
It is a straight line of symmetry because if you have a paper A and you fold it, it will form a straight line, and that is also meaning a straight line of symmetry. If you fold it any other way, it will not be a line of symmetry.
Hope this helps you ;)
<h3>Given:</h3>
<h3>Note that:</h3>
<h3>To find:</h3>
The volume of the given cone.
<h3>Solution:</h3>
Let's solve!
Substitute the values according to the formula.
<u>Therefore, the volume of the given cone is 75.36 cubic yards.</u>
B. (6, -8)
First, you need to figure out the slope of the line
(y1 - y2) / (x1 - x2)
After substituting points D(-3, 4) A(3, -4)
[4 - (-4)] / (-3 - 3)
(8) / (-6)
The slope of the line is -8/6 or -4/3 simplified
Then you can put it in point slope form:
(y - y1) = m(x - x1)
(y - y1) = -4/3(x - x1)
The point that I am using for point slope form is A(3, -4)
[y - (-4)] = -4/3(x - 3)
y + 4 = -4/3(x - 3)
Next you have to simplify the equation so that y is isolated
y + 4 = -4/3(x - 3)
First distribute the -4/3
y + 4 = -4/3(x) + (-4/3)(-3)
y + 4 = -4/3x + 4
Subtract 4 on both sides
y + 4 - 4 = -4/3x + 4 - 4
y = -4/3x
Now that you have y = -4/3x, you can substitute the values until one of them makes the equation equal
For example) (6, -8)
-8 = -4/3(6)
-8 = -8
So since (6, -8) fits in the slope intercept equation, it must me collinear with points A and D
~~hope this helps~~
