Answer:
y = 2x - 3
Step-by-step explanation:
Step 1: Find the slope. You find the slope by using the formula y2-y1/x2-x1. (2, 1) and (4, 5) are our points. Let's find our values.
y2= 5
y1= 1
x2 = 4
x1 = 2
Plug in the numbers into the equation. 5 - 1 is 4. 4 - 2 is 2. 4/2 is 2. There. Our slope is 2.
Step 2: Find the b value. Keep in mind that an equation in point-slope form is y = mx + b, where m = the slope, and b = the y-intercept. For this part, you will plug in one of the points as x and y to find the b value. let's use point (4, 5)
The equation then becomes 5 = 2(4) + b. As we know, 2 * 4 is 8. Subtract 8 on both sides of the equation to cancel out the right side and isolate the b variable. 5 - 8 is -3. Even if you use the other point for the equation (1 = 2(2) +b), you should get the same answer of -3.
Answer:
Quinn can expect to pick blue 40 times
Step-by-step explanation:
the probability of picking blue is stated as 2/10 which can be reduced to 1/5
multiply the number of times they pick a marble ( shown as 200) by the probability of picking a blue one ( 1/5)
200 x 1/5 = 200 / 5 = 40
Quinn can expect to pick blue 40 times
Answer:
Step-by-step explanation:
Hi!
Since an equilateral triangle means that every side is equal, our triangle will have 12 on all sides.
To find the height of an equilateral triangle we use 
.
.
So the height is 
.
Now we have to solve 12 * ÷ 2.
.
Thus, the area of the triangle is 
.
Hope this helps!
Answer:
C
Step-by-step explanation:
sqrt x can be zero, but you can't sqrt a negative number. there is no further restrictions on sqrt x, there it goes to positive infinity.
