Answer:
y = 1/2x
Step-by-step explanation:
The slope is the rise (up) over run (left or right depending on if the number is negative) between points. So the next point on the graph is up 5 and over 10. this simplified is 1/2. Then you put this into y=mx which is y=1/2x
Answer:
area = 39.25 cm²
Step-by-step explanation:
The top and bottom area of a cheese wedge is shaped like a sector of a circle so finding the area of the top surface of this wedge is same as applying the area of a sector.
Top surface area(sector) = ∅/360 × πr²
where
∅ = central angle
r = radius
Top surface area(sector) = ∅/360 × πr²
area = 45/360 × π × 10²
area = 1/8 × 100π
area = 100π/8
area = 100 × 3.14/8
area = 314
/8
area = 39.25 cm²
Answer:
Step-by-step explanation:
To graph the equation, draw the line and shade in the lower left part of the graph under the line to illustrate the inequality
Then pick two points to test
f(x) = -2x + 1 works with (-1, 3)
f(x) = -2x^2 - 4x + 1 works with (0,1)
f(x) = 2sqrt(x + 2) + 1 works with (2, 5)
In order to find each of these, you need to try the ordered pairs in the equation and look for them to come out as true statements. Below is the work of trying each one.
(-1, 3)
f(x) = -2x + 1
3 = -2(-1) + 1
3 = 2 + 1
3 = 3 (TRUE)
(0,1)
f(x) = -2x^2 - 4x + 1
1 = -2(0)^2 - 4(0) + 1
1 = 0 + 0 + 1
1 = 1 (TRUE)
(2, 5)
f(x) = 2sqrt(x + 2) + 1
5 = 2sqrt(2 + 2) + 1
5 = 2sqrt(4) + 1
5 = 2(2) + 1
5 = 4 + 1
5 = 5 (TRUE)