Answer:
f(x) = -8/3(x+3)+8
a = -8/3
b = technically equals -3 but when we plug it in it gets turned into 3 *double negative
k = 8
Step-by-step explanation:
Vertex: (h,k)
Use the points (0,0) and (-3,8) to find the slope
y2-y1/x2- x1
Answer: See below
Step-by-step explanation:
The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.
Triangle EFG
9²+b²=41²
81+b²=1681
b²=1600
b=√1600
b=40
----------------------------------------------------------------------
Triangle PQR
20²+21²=c²
400+441=c²
c²=841
c=√841
c=29
----------------------------------------------------------------------
Triangle XYZ
a²+24²=25²
a²+576=625
a²=49
a=√49
a=7
41.8 rounded to the nearest tenth
Answer:
20%
Step-by-step explanation:
30:6=5
yellow apples - 1/5 of 30
20x5=100
20%/30=6
Answer:
Construct MN.
Since M is the midpoint of OA, OM = MA
Similarly, N is the midpoint of OB.
Thus, ON = NB.
Now, in Δs OMN and OAB,
∠MON = ∠AOB (common angle)
(sides are in proportional ratio; OA = 2OM and OB = 2ON)
∴ Δs OMN and OAB are similar (2 sides are in proportion, with the included angle)
Since they are similar, then ∠OMN = ∠OAB (corresponding angles of similar triangles are equal)
But since ∠OMN = ∠OAB, then that means MN || AB (corresponding angles of two lines must be equal since they also sit relative to the transverse line, OA)
Thus, AB || MN (QED)
