Answer:
12 is the answer
Step-by-step explanation:
I just know the answer
Isolate the variable by dividing each side by factors that don't contain the variable.
t = −10.8
Answer:
Step-by-step explanation:
If you graph there would be two different regions. The first one would be
And the second one would be
.
If you rotate the first region around the "y" axis you get that
And if you rotate the second region around the "y" axis you get that
And the sum would be 2.51+4.188 = 6.698
If you revolve just the outer curve you get
If you rotate the first region around the x axis you get that
And if you rotate the second region around the x axis you get that
And the sum would be 1.5708+1.0472 = 2.618
Answer:
y = 7x
y = 2x -3
y = 3
x = -2
Step-by-step explanation:
- <em>Slope-intercept form: y= mx+b</em>
- <em>Parallel lines have same slope</em>
a)Parallel to y=7x+2 through the point (0,0)
<u>
This line will have a form:</u>
<u>Considering the given point of (0,0), to find the value of b:</u>
<u>The line is: </u>
b)Slope of 2 through the point (0,−3)
<u>
Solving as above:</u>
- y= 2x + b
- -3 = 2*0 + b ⇒ b = -3
- y = 2x -3
c)A horizontal line through the point (0,3)
<u>
A horizontal line will have constant value for y for any value of x:</u>
d)A vertical line through the point (−2,0)
<u>A vertical line will have constant value of x for any value of y:</u>
The key feature of the functions that are needed to determine if the lines intersect are;
- The slope; rate of change
- The y-intercept
<h2>
Slope and y-intercept</h2>
From straight line geometry, we can conclude that two parallel lines whose slope are equal can never intersect.
On this note, for the functions described in the question, the functions only intersect when the slopes are different.
Additionally, the functions may intersect in the event of having equal y-intercepts.
In order two straight lines in a coordinate plane intersect, they MUST have different slopes.
This condition is NECESSARY and SUFFICIENT.
