Answer:
New point (x+6, y-4)
Step-by-step explanation:
Given:
Points = (x , y)
Mapping
6 units to the right
4 units down
Find:
New point
Computation:
On line X, numbers are add on move right side
So,
x+6
On line Y, numbers are subtract on move down
So,
y-4
New point (x+6, y-4)
Let a/b and c/d represent two rational numbers. This means a, b, c,and d are INTEGERS , and b and d are not 0. The product of the numbers is ac/bd , where bd is not 0. Both ac and bd are INTEGERS , and bd is not 0. Because ac/bd is the ratio of two INTEGERS, the product is a rational number.
Answer: -7/9
Step-by-step explanation: To identify the slope of this line, first notice that this equation is in standard form which is Ax + By = C.
To find the slope, we need to solve for our variable <em>y</em>.
We first need to identify what is happening to our variable <em>y</em>. You can notice that it's being multiplied by 9 and is being added by 7x because 7x is a +7x so we're adding the 7x to the 9y.
So the first thing we do is undo addition and subtraction to our variable.
On the left the -7x's cancel and we are left with 9y. on the right, we do not want to write 45 - 7x because we always want to keep our variable in front of our constant. So I will just write that as 9y = -7x + 45.
Now we can divide everything by 9 in order to get <em>y</em> by itself.
This leaves us with <em>y = -7/9x + 5</em>.
Now our slope is the multiplier or the coefficient of the <em>x</em> term which in this case is -7/9. So the slope is -7/9.
Answer:
We have, volume of cone:
V = (1/3) x base area x height
= (1/3) x pi x radius^2 x height
= (1/3) x pi x 2^2 x 4
= 16.76 (mi3)
Option D is correct
Hope this helps!
:)
