0.0000015 is your answer. because when you have a negative on a power you bring the decimal back words.<span />
Answer:
Step-by-step explanation:
nth term = (n-1)th term + common difference
d = -10
a₁ = 3
a₂ = a₁ + d = 3 + (-10) = -7
a₃ = a₂ + d = -7 + (-10) = -17
a₄ = a₃ + d = -17 + (-10) = -27
a₅ =a₄ + d = -27 + (-10) = -37
a₆ = a₅ + d = -37 + (-10) = -47
First six terms: 3 , -7 , -17, -27, -37 , -47
Answer:
Option B, 187.5 cm³
Step-by-step explanation:
Volume of the triangular prism,
base area × height
= (10×7.5/2)×5
= 187.5 cm³
Answer:
D) y= -2X+1
Step-by-step explanation:
All of the lines are perpendicular to the line 2x+y=6 except for D) y= -2X+1.
I can’t understand why everyone complicates this question. It can be easily solved by similar triangles.
In this png, we have something to make sure.
∠B=∠DAB
∠
B
=
∠
D
A
B
(Yes, dab)
This also means AD=BD
A
D
=
B
D
.
This is our basic construction of D, which is going to help us.
∠ADC=∠DAB+∠B=2∠B=∠CAB
∠
A
D
C
=
∠
D
A
B
+
∠
B
=
2
∠
B
=
∠
C
A
B
∠CAD=∠CAB−∠DAB=∠B
∠
C
A
D
=
∠
C
A
B
−
∠
D
A
B
=
∠
B
These are based on the fact that ∠A=2×∠B
∠
A
=
2
×
∠
B
Actually these conditions suffice. Because I am just proving that △ACD∼△BCA
△
A
C
D
∼
△
B
C
A
Similarity makes us realize the following:
ACBC=ADAB
A
C
B
C
=
A
D
A
B
and
ACBC=CDAC
A
C
B
C
=
C
D
A
C
So
AC×AB=BC×AD
A
C
×
A
B
=
B
C
×
A
D
and
AC2=BC×CD
A
C
2
=
B
C
×
C
D
So
BC2=BC×(BD+CD)=BC×(AD+CD)
B
C
2
=
B
C
×
(
B
D
+
C
D
)
=
B
C
×
(
A
D
+
C
D
)
=AC×AB+AC2
=
A
C
×
A
B
+
A
C
2
Q.E.D.
2.4k Views ·
