Answer:
y = 3x + 3
Step-by-step explanation:
y = mx + b where m= slope and b= y-intercept
the y-intercept is the point where x=0 or where the line crosses the y-axis.
This happens at (0,3) on the graph, so the y-intercept, or b, is equal to 3.
for m, slope can be defined as rise/run. So starting from a point you are given on the graph (-1,-2), count the number of spaces up you rise and how many you must go over (run) to get to the next point (0,3)
if you count, you should rise from (-1,-2) 5 spaces and move to the right (run) 1 space to get to (0,3).
rise/run = 3/1
3/1 = 3
the slope is 3.
now that you have the slope and the y-intercept, you can just plug it into the equation
y = 3x + 3
Answer:
Step-by-step explanation:
Let n be the number of tickets Makaya has to buy.
If the cost of one ticket is $1.5, then the cost of n tickets is $1.5n.
Makayla has $8 to buy tickets at the school fair, thus
The maximum number of tickets Makaya can buy is 5, so
(6,6) this is the answer. add 3 to the x value
Vertex: (-5,-2); parabola opens up;
General form of the equation for a vertical parabola opening up is:
y-k = a(x-h)^2; knowing that the vertex is at (-5,-2), we can write:
y+2 = a(x+5)^2. We need to find the value of the coefficient a.
From the graph we see that y is 10 when x is approx. -1 3/4 (or -7/4).
subst. these values into y+2 = a(x+5)^2, we get:
10 + 2 = a(-7/4 + 5)^2, or 12 = a(13/4)^2, or 1 = a(169/16).
Solving for a: a = 16/169 = 0.09, or approx 16/160, or 1/10. Unfortunately, this is not close to any of the four answer choices.
I thought it best to try again, and fortunately my second try was correct:
10+2 = a(13/4)^2, or (169/16)a. Thus, 12 = a(169/16)
12
Solving for a: a = ------------- = 1.14. The answer choice closest to this is 1.
169/16
Answer A is correct.
Answer:
Step-by-step explanation:
diagonal = 32 cm
Area of square = 
Diagonal separate the square into two equal triangles.
Area of upper triangle that is shaded black = area of lower triangle = 512/2
= 256 cm²
Isosceles triangle:
a = 6 cm ; b = 6 cm c = 8cm
Area of black shade paper = 256 + 17.92 = 273.92 cm²
Area of white shade paper = 256 cm²
Area of the isosceles triangle = s(s-a)(s-b)(s-c)
