Answer: y=2x-1
We know that the equation of a line is y = mx + b, where m is the gradient and b is the y-intercept.
First to find the gradient, we use the formula y2-y1/x2-x1.
x1 and y1 being the first set of coordinates (2,3) and x2 and y2 being the second set (4,7)
Now we sub in:
m=7-3/4-2
m=4/2
m=2
This is our gradient and we can put it into the equation: y=2x+b
Now we find the y-intercept (b). Since the y-intercept isn’t shown, we can sub in the coordinates to find it.
y=2x+b
Sub (2,3)
3=2(2)+b
3=4+b
-1=b
Sub (4,7)
7=2(4)+b
7=8+b
-1=b
Subbing in both coordinates gives us -1 as the y-intercept, so the finished equation is: y=2x-1
Answer:
A. Henry's balloon was farther from the town at the beginning, and it
traveled more quickly.
Step-by-step explanation:
have amazing day♡
Answer:
<em>D</em>
Step-by-step explanation:
Question:On Saturdays. Eve earns $14. per hour for yard work and charges an extra amount for supplies/gas money to get there. Look at the table. Choose the linear function f Eve can use to determine her pay, where x is in hours and f(x) is her pay in dollars.
Answer: <em>The answer would be D because she gets payed $14 and hour so you would plug the hours she work into the letter x</em><em>.</em>
Drawing this square and then drawing in the four radii from the center of the cirble to each of the vertices of the square results in the construction of four triangular areas whose hypotenuse is 3 sqrt(2). Draw this to verify this statement. Note that the height of each such triangular area is (3 sqrt(2))/2.
So now we have the base and height of one of the triangular sections.
The area of a triangle is A = (1/2) (base) (height). Subst. the values discussed above, A = (1/2) (3 sqrt(2) ) (3/2) sqrt(2). Show that this boils down to A = 9/2.
You could also use the fact that the area of a square is (length of one side)^2, and then take (1/4) of this area to obtain the area of ONE triangular section. Doing the problem this way, we get (1/4) (3 sqrt(2) )^2. Thus,
A = (1/4) (9 * 2) = (9/2). Same answer as before.
If you were to factor you would do what my teacher likes to call reverse foil so it would look like this (x-9)(x+4) so what you do is you brainsrorm to see what multiplies what to get that and 9*4=36 so that is how you factor -36 to find the -9
Hope this helps if I'm correct if not I will try to find the answer
