Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
First, we could determine the slope (<em>m</em>). The slope is the of the line, or the number of units it travels up over the number of units it travels to the right.
Notice how each consecutive point moves up 1 unit and right 1 unit. This makes the slope of the line 1/1, which is just 1:
Now, to find the y-intercept, we must identify the value of y when the line crosses the y-axis.
The line crosses the y-axis at y=3, so therefore, the y-intercept is 3:
I hope this helps!
You forgot to expand and simplify it... you only did step one, carry on your doing great 4 marks doesn’t come easy :)
The sum of the volume of its part
Answer:
816 cm²
Step-by-step explanation:
Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.
✔️Surface area of the larger rectangular prism:
Area = L*W*H = 20*5*6 = 600 cm²
✔️surface area of the smaller rectangular prism:
Area = L*W*H = 12*4*6 = 288 cm²
✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.
Area = L*W = 12*6 = 72 cm²
Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².
Answer:
y = 0.9x - 0.8
Step-by-step explanation:
First you use the formula m = (y2-y1) / (x2-x1)
Sub in the 2 points you are given and you get m = (-8-1) / (-8-2)
m = -9/-10 = 9/10
Now u use the point slope formula, (y - y1) = m(x - x1)
Sub in the points and you get (y - 1) = 9/10 (x-2)
Expand it out to get y - 1 = 9/10x - 18/10
multiple everything by 10 = 10y - 10 = 9x -18
make y the subject, 10y = 9x - 8
y = 0.9x - 0.8