Answer:
Step-by-step explanation:
Generally equation of a line is given as
y=mx+c
Then given the point (x, y)=(0,2)
Therefore x=0 and y=2
y=mx+c
2=m×0+c
2=0+c
Then, c=2
Then intercept is 2
Also given the point (x, y)=(3,4)
x=3 and y=4 and c=2
y=mx+c
4=m×3+2
4=3m+2
4-2=3m
2=3m
Then, m=2/3
Then, the slope of the graph is 2/3
y=mx+c
Now, m=2/3 and c=2
The general equation of the line becomes
y=2/3x+2
Multiply through by 3
3y=2x+6
Then this is the equation of the line
Answer:
-16,-6,4,14,24
Step-by-step explanation:
First thing first, we need to alter this equation is y is the value we are fining. we can do this by adding 10x to both sides. our new equation is
y=10x+4
Now, all we have to do is plug in out x values in order to get our y values and complete the table.
Example, 10x2 is 20 and 20+4 is 24 so when x is 2, y is 24
9514 1404 393
Answer:
d. m∠Q = 75 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.
∠P +∠Q +∠R = 180°
x° +(2x +15)° +(2x +15)° = 180°
5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30
x = 30 . . . . . . . . . . . . . . . . divide by 5
m∠Q = (2x +15)° = (2(30) +15)°
m∠Q = 75°
Answer:
The top tree correctly represents the sample space
Step-by-step explanation:
At the "root" of our tree, we can either have three branches for each of the flavors, or two branches for each of the types of crust. Here's how each of those branches continue:
- If we start with the <em>three branches for flavors</em>, each branch will have <em>two more branches for the types of crust</em>. Working down the tree, I could start by choosing the pepperoni branch, and then continue to choose either thin or hand-tossed crust.
- If we start with the <em>two branches for crusts</em>, each branch will have <em>three more branches for the flavors</em>. This option is represented as the first tree in the image, and in this case would be the correct choice.
