Answer:
B. -1.75 and 4
Step-by-step explanation:
f(x)=g(x)
Input the equations
x²-2x-8 = 1/4x-1
add 1 to both sides
and subtract 1/4x from both sides
x²-2 1/4x - 7 = 0
factor
a + b = -2 1/4
a * b = -7
1.75 + -4 = -2 1/4
1.75 * -4 = -7
reverse their symbols
1.75 becomes -1.75 and -4 becomes 4.
Answer:
19/4
Step-by-step explanation:
4 * 4 = 16 + 3 = 19
3y is the supplement of 141 so that means 3y+140=180 so y is 13.33. Since they give you 68, 68+13.33+x=180. So 81.33+x=180 and x=98.66.
Answer:
4 d
Step-by-step explanation:
Given D is mid-point of BC and AD⊥AC
From right angle △DAC
cosC=
a/2
b
=
a
2b
...(i)
also from cosine formulae
cosC=
2ab
a
2
+b
2
−c
2
...(ii)
From (i) and (ii) we get
a
2b
=
2ab
a
2
+b
2
−c
2
⇒4b
2
=a
2
+b
2
−c
2
⇒b
2
=
3
a
2
−c
2
∴cosAcosC=
2bc
b
2
+c
2
−a
2
.
a
2b
=
ca
[(
3
a
2
−c
2
)+c
2
−a
2
]
=
3
2
(
ca
c
2
−a
2
)
Answer:
Daniels agent made $40.
Daniel and the agent made a total of $160 from the show.
Step-by-step explanation:
Given:
Let the total amount made from the show = x
Daniel's agent made = 25% of x
Daniel made = $120
From the question, we know that the total amount is the sume of what daniel and the agent took.
So,
x = 120 + 25% of x
x-0.25x = 120
0.75x = 120
x = 160.
Hence the total amount made from the show is $120.
Daniel's agent made = 25 % of 160
= 0.25*160
= 40
Hence, Daniel's agent made $40 from the show.