Solve for x in first equation:
x-2y=7
Add “2y” to both sides
x=2y+7
Put this in to second equation:
3(2y+7)+2y=21
Solve for y:
Distribute the 3 into the ()
6y+21+2y=21
Combine the like y terms
8y+21=21
Subtract 21 from both sides
8y=0
Divide by 8 on both sides
y=0
Put this into the first solved equation:
x=2(0)+7
Solve for x:
Multiple 2(0)
x=0+7
Add 0 and 7
x=7
So the value of x is positive 7.
Answer:
c. 9/12
Step by step explanation.
Given: sin = 9/15
and,
thus, find adj. side
by using Pythagoras theorem
then,
let adj. side be a^
thus,
adj. side is 12
then,
tan of the angle = 9/12
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (2,-1) and (4,5),
y2 = 5
y1 = - 1
x2 = 4
x1 = 2
Slope,m = (5 - - 1)/(4 - 2) = 6/2 = 3
To determine the intercept, we would substitute x = 4, y = 5 and m= 3 into y = mx + c. It becomes
5 = 3 × 4 + c
c = 5 - 12 = - 7
The equation becomes
y = 3x - 7
These intervals are measured by the x-values. Additionally, intervals of increase and decrease are always express with parentheses in interval notation. Therefore, the decreasing interval is (-2, 0)U(1, 3) and the increasing interval is (0, 1).
Hope this helps!
