Answer:
The answer is...... NO
Step-by-step explanation:
Step 1: Plug in your values in the x and y cordinates.
2(5) + 8 > 18
Step 2: Solve
Then you multiply 2 and 5 and get 10.
SO then your equation should look like this:
10 + 8 > 18
The answer to the question is no because in order for this to work it would need to be the greater than or equal to sign, which looks like this ≥.
Hope this helps and have a great day! :)
Answer:
v = 3.64 ft/s
Step-by-step explanation:
Given that,
Radius of a carousel, r = 18 feet
It takes 31 seconds to complete revolution.
We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.
d = 2πr
d = 2π × 18 = 113.09 feet
Let v is the linear speed. It can be given by :

So, the linear speed of the carousel is 3.64 ft/s.
Answer:
132 square units
Step-by-step explanation:
First, I would figure out the areas of the right triangles
Left triangle: 1/2(6x8) =24 units²
Right triangle: 1/2(8x3) = 12 units²
entire rectangle between triangles: 12x8 = 96 units²
add all areas together: 24+12+96 = 132 units²
Slope-intercept form is y = mx + b. all you have to do for this question is plug your given information in:
m = -3
b = 7
y = mx + b
y = -3x + 7
The slope of line "v" is 
<h3><u>Solution:</u></h3>
Given that Line w and line v are perpendicular to each other
Also given that line w passes through the points ( -4, 8 ) and ( 12, -2 )
To find: slope of line v
Since line w and line v are perpendicular to each other, product of slopes of line w and line v are equal to -1
---- eqn 1
Let us first find slope of line w
<em><u>The slope "m" of a line is given as:</u></em>



Thus the slope of line "w" is 
Substituting the slope of w in eqn 1 we get,

Thus the slope of line "v" is 