Answer:
FG=17/4
Step-by-step explanation:
EF+FG=EG
3+x+3=5x+1
x+6=5x+1
6-1=5x-x
4x=5
x=5/4
FG=x+3
FG=5/4 +3
= (5+12)/4
FG=17/4 or 4 1/4 or 4.25
Answer:
The number is 0
Step-by-step explanation:
We form an equation using the statement:
8 = 7x + 8
Then we solve it:
8 = 7x + 8
8 - 8 = 7x
0 = 7x
0 ÷ 7 = x
x = 0
X = 1/3
4x + 2x - 2 = 0
6x - 2 = 0
+2 +2
6x = 2
/6 /6
X = 1/3
Answer:
=========
<h2>Given</h2>
<h3>Line 1</h3>
<h3>Line 2</h3>
- Passing through the points (4, 3) and (5, - 3)
<h2>To find</h2>
- The value of k, if the lines are perpendicular
<h2>Solution</h2>
We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.
Find the slope of line 1 by converting the equation into slope-intercept from standard form:
<u><em>Info:</em></u>
- <em>standard form is ⇒ ax + by + c = 0, </em>
- <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>
- 3x - ky + 7 = 0
- ky = 3x + 7
- y = (3/k)x + 7/k
Its slope is 3/k.
Find the slope of line 2, using the slope formula:
- m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6
We have both the slopes now. Find their product:
- (3/k)*(- 6) = - 1
- - 18/k = - 1
- k = 18
So when k is 18, the lines are perpendicular.
