Answer:
B) 
.
Step-by-step explanation:
The vertex form of the equation is given by 
.
We plug in the vertex to obtain:
.
Since the graph passes through (5,5) and (9,5), they must satisfy its equation.
.
.
Divide both sides by 4.
Therefore the equation is:
.
Answer:
C
Step-by-step explanation:
∠ AFD = ∠ AFC + ∠ CFD
Given ∠ CFA = 90° and
∠ CFD = 90° - ∠ EFD, that is
∠ CFD = 90° - 62° = 28°, thus
∠ AFD = 90° + 28° = 118° → C
Answer:
12 fish
Step-by-step explanation:
You need to work this problem backwards. If he caught 30 fish, which was six more than twice the number he caught last year, you would start by subtracting six, leaving you with 24. Then you'd have to divide by 2, because it was twice plus six as many fish, which would give you 12 fish.
= x
= x
12 = x
Answer:
Step-by-step explanation:
The total number of marbles is 20
Question A
P(Red) = 4/20 = 1/5
P(yellow) = 9/20
P(Red then Yellow) = 1/5 * 9/20 = 9 / 100
Question B
P(B) = 6/20
P(B again) = 5/19 because you have 1 less total plus 1 less blue.
P(B and B) = 6/20 * 5/19
P(B and B) = 30/ 380 = 3/38
Answer:
B) 6.5 inches by 3.5 inches
Step-by-step explanation:
Multiplying the actual dimensions by the scale gives the scale dimensions:
(0.5 in)/(6 ft) × {78 ft, 42 ft}
= {39/6 in, 21/6 in}
= {6.5 in, 3.5 in}
The size on the scale drawing is 6.5 inches by 3.5 inches.
