Answer:
Area of triangle ABC=7 square units
Area of triangle A'B'C'=7 square units
Step-by-step explanation:
Triangle ABC is the preimage of triangle A'B'C' under a reflection in the line x=0.
The two triangles are congruent so they have the same area.
We can calculate the area by counting the unit squares the triangle covered.
Each full box is 1 units square.
Each triangle covered
1 full box and 12 partially covered boxes.
Each partial box covered is 0.5 square units.
Therefore the area is
square units
The function for the height is
f(0) = 5 cos(0) + 7 = 5 + 7 = 12 (verified)
The period is T = 12 hours.
After 4 hours (t = 4), the height is
A graph of f(t) confirms the answer.
Answer: 4.5 ft
Answer:
y = 2x
the formula for linear equations are y = mx+c,
where m is the gradient,
and c is the y-intercept
to find m (the gradient):
1. pick to points on the graph (eg. -2,-4 and 2,4)
2 substitute the values into the formula for gradient y2-y1/x2-x1.
m = y2-y1/x1-x2
= -4 -4/-2-2
= -8/-4
= 2
to find c (y-intercept):
- the y-intercept is where the graph cuts the y axis
- in this graph, the y-intercept is 0
hence,
c = 0
substitute m = 2 and c = 0 to y = mx+c,
y = 2x + 0
y = 2x
hence, the equation that best represents the relationship shown in the graph is y = 2x.
If you add a zero at the end it is easier to understand. 0.20 > 0.18 because 20 is greater than 18
A = B+32
B = 5C
A = 5C+32
C has d dollars so replace d for c
A = 5d+32
