Answer:
The equation of the perpendicular line 't' is 3x+y =0
Point slope form y = mx +C
y = - 3x
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given equation s = and given point (1,-3)
The equation of the perpendicular line
⇒ 3 y = x+30
⇒ x - 3y +30 =0
<u><em>Step(ii):-</em></u>
<em>The perpendicular line of the given straight line 's'</em>
<em> b x -ay +k=0</em>
⇒ -3x -y +k=0
This line is passing through the point (1,-3)
-3(1)-(-3)+k=0
k =0
The equation of the perpendicular line -3x-y =0
<u><em>Final answer:-</em></u>
The equation of the perpendicular line 3x+y =0
Point slope form y = mx +C
y = - 3x
Answer:
- The line is y = 27/29x - 88/29
- The y-intercept is (0, -88/29)
Step-by-step explanation:
<u>Given point:</u>
<u>Slope-intercept form:</u>
<u>Use slope formula:</u>
- m = (y₂ - y₁)/(x₂ - x₁)
- m = (10 - (-17))/(14 - (-15)) = 27/29
<u>Use one of the points to find the y-intercept:</u>
- y = 27/29x + b
- 10 = 27/29*14 + b
- b = (29*10 - 27*14)/29
- b = -88 /29
<u>The line is:</u>
The sequence is adding by 6. So, the terms are: -3, 3, 9, 15, 21, 27. expression: 3 + 6 * (n-1)
132 is not in the sequence. I used the guess and check method to figure this out. I started off by guessing that if 132 was in the sequence, it would be the 22nd term. So, I filled in the equation by making 22 equal n. This got me 123. From here, I added 6 to get the 23rd term. This got me 129, which still wasn’t high enough. Then I added 6 again to get the 24th term, which was over 132, which proved that 132 was not in this sequence.
Answer:
The volume is 40.96 cubic feet
Step-by-step explanation:
Given
Where
Required
The volume when h = 32 and d = 4
Express as an equation
Where k is the constant of variation.
Make k the subject
Substitute
To solve for V when h = 32 and d = 4, we have:
<em>The volume is 40.96 cubic feet</em>
A would be the correct answer:)
Hope this helps!