Answer:
see explanation
Step-by-step explanation:
(a)
The opposite sides of a rectangle are congruent, hence
x + 1 = 5 ( subtract 1 from both sides )
x = 4
Or
x - 1 = 3 ( add 1 to both sides )
x = 4
(b)
The sum of the 3 angles in a triangle = 180°, hence
3y + 2y + y = 180
6y = 180 ( divide both sides by 6 )
y = 30
In this question, we will use slope intercept form that is y=mx +b, where m is the slope and b is the y intercept .
For the given question . x=1, y=-1 and slope , m = -5
We need to substitute these values in slope intercept form and solve for b, that is
-1=-5(1)+b
-1 = -5+b
Adding 5 to both sides
b =4
So we have slope, m =-5 and b=4
THerefore required equation is
y=-5x+4
Answer:
(8,11)
Step-by-step explanation:
1st line
y = x+ 3
We need to find the equation of the other line
We have two points (3, 1) and (4, 3)
Slope
m = (y2-y1)/(x2-x1)
= ( 3-1)/(4-3)
= 2/1 = 2
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y =2x+b
Using the point (4,3)
3 = 2(4)+b
3 = 8+b
3-8=b
-5 =b
y = 2x-5
We have 2 lines
y =x+3 and y = 2x-5
Setting them equal to each other
x+3 = 2x-5
Subtract x from each side
x+3-x = 2x-5-x
3 = x-5
Add 5 to each side
3+5 =x-5+5
8=x
Now we can find y
y =x+3
y = 8+3
y=11
Mr Chan spent
dollars when he bought the shares. If he sells 45 shares at 3.80, he will gain
dollars. So, the net profit would be
