Answer:y = 2x + 4
Explanation:
1) The slope - intercept form is of the kind y = mx + b, where m is the slope and b is the y-intercept.
2) Given two points you can find the slope (using the two points) and then the equation using one of the points.
3) slope = m = Δy / Δx
points given (3,10) , (0,4)
m = [y2 - y1] / [x2 - x1] = [10 - 4] / [3 - 0] = 6 / 3 = 2
4) equation
y - y2
-------- = m
x - x2
y - 4
---------- = 2
x - 0
=> y - 4 = 2 (x - 0)
y - 4 = 2x
y = 2x + 4
Answer:
Extremely large and small numbers that have many zeros are long to write and take up a lot of room. So, by using scientific notation a number can be written shorter. For example, numbers such as 295,000,000,000 can be shortened to 2.95x
. This is easier to write and understand. This is why the scientific notation is used over standard.
Answer:
equation
Step-by-step explanation:
8
O -=
-x-11=1
3
-4
-x-7=1
3
x-7
7=1
o ex-7=1
x
-x-11=1
3
B because 17×20 is 340 square centimetres
Q 16. The energy is 308.7 J.
Q 17. The energy is 896000 J.
Step-by-step explanation:
Q 16. Given,
Mass (m) of the carriage and baby = 1.5 kg
Height (h) = 21 m
To find the energy.
We will find the potential energy as it rests at the top.
Formula
Potential energy = mgh where g be the gravitational force of the earth = 9.8m/s²
So,
Energy = 1.5×9.8×21 J
= 308.7 J.
Hence,
The energy is 308.7 J.
Q 17. Given,
Mass (m) = 1120 kg
Speed (v) = 40 m/s
To find out the energy.
We will find out the kinetic energy as the car is in motion.
Formula
Kinetic energy =
mv²
So,
Energy =
×1120×40² J
= 896000 J
Hence,
The energy is 896000 J.