The equation of the line is y - 3 = 5(x - 8) ⇒ c
Step-by-step explanation:
The point-slope form of the linear equation is 
, where:
- m is the slope of the line
is a point on the line
∵ The line passes through point (8 , 3)
∴ 
= 8 and 
= 3
∵ The slope of the line is 5
∴ m = 5
- Substitute these values in the form of the equation below
∵
∴ y - 3 = 5(x - 8)
The equation of the line is y - 3 = 5(x - 8)
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Use the Pythagorean theorem to solve this problem. So, 81+x^2=1681. ( Pythagorean theorem: a^2+b^2=c^2). x^2=1600. x=40.
Answer:
Step-by-step explanation:
The probability can be defined as the ratio between the possible events and the total number of outcomes.
In this case, according to the image attached, the total number of outcomes is 11, because they are 11 marbles in total.
Now, the specific event is all shaded marbles or labeled with a multiple of 3. With this specific characteristics 6 marbles, because there are 5 shaded marbles and 6 is a multiple of 3. So, the possible events are 6.
Therefore, the probability is
The right answer is the last choice.
Answer: Lower right corner
============================================
Explanation:
The information that the temperature rises 3 degrees per hour will tell us the slope here. The slope is rise/run = 3/1 = 3. Each time we move up 3 on the y axis, we move 1 spot to the right.
As you can see in the bottom right hand corner graph, we start off at a temperature of 20 degrees. This is the point (x,y) = (0,20)
Then one hour later (x = 1), the temperature y bumps up to y = 23. Another hour passes by (x = 2) and y becomes y = 26. And so on.
Answer:
568
Explanation:
First you need to make an equation. You need to find the change, in this case it’s 1.25. After, you find that, you make your equation. A(n)=16(1.25)^n-1.
I hope this was helpful
