Answer:
yeah
Step-by-step explanation:
Answer
Median bisects the line.
D≡(
2
−3+5
,
2
−9−8
)≡(1,
2
−17
)
E≡(−
2
1+5
,
2
6−8
)≡(2,−1)
F≡(−
2
1−3
,
2
6−9
)≡(−2,
2
−3
)
∴ equation of AD:(y−y
1
)=(
x
2
−x
1
y
2
−y
1
)
AD
(x−x
1
)
⇒(y−6)=
⎝
⎜
⎜
⎛
1+1
2
−17
−6
⎠
⎟
⎟
⎞
(x+1)⇒(y−6)=−
4
29
(x+1)
⇒
4
29
x+y−6+
4
29
=0
AD⇒29x+4y+5=0
equation of BE:(y+9)=(−
2+3
1+9
)
BE
(x+3)
⇒(y+9)=
5
8
(x+3)⇒5y+45=8x+24
BE⇒8x−5y−21=0
Equation of CF:(y+8)=
⎝
⎜
⎜
⎛
−2−5
−
2
3
+8
⎠
⎟
⎟
⎞
CF
(x−5)
⇒(y+8)=−
14
13
(x−5)⇒14y+112=−13x+65
CF:13x+14y+47=0
Answer:
Tom can cut 12 (15 inch pieces) from the two boards.
Step-by-step explanation:
We're first given foot measurements and we're asked to find the answer in inches. That means we must convert 8 feet to inches, which is a 1:12 inches conversion. 8 times 12 will give you 96, so now you will multiply that value by 2 because Tom has 2 8-foot long boards. That will give you 192 inches. Since the question is asking for 'how many 15 inch pieces he can cut from the two boards?', you will need to divide 192 inches by 15 to find the answer. This will give you 12.8 boards. Because you can't have parts of an object, the answer will be 12 whole boards.
Quarters. 34×0.25= 8.50
dimes. 13×0.10= 1.30
Nickels. 4×0.05= 0.20
total=10.00
(21×0.25)+(9×0.10)+(4×0.05)+(4×0.10)+(13×0.25)=10
A quotient is the result of a division.
Let the unknown number be x.
We translate the problem into an equation, piece by piece.
<span>"quotient of a number and seven" ----> x/7
</span>
<span>"12 less than the quotient of a number and seven" ----> x/7 - 12
The word "is" means "="
x/7 - 12 =
All the above is -2, so it equals -2.
x/7 - 12 = -2

First, add 12 to both sides and simplify.
</span><span>

</span>
<span><span><span>

</span>
</span>
Next, multiply both sides by 7.


</span>
Answer: The number is 70.
Answer:6.0002inch
Step-by-step explanation:
Volume of sphere=904.39
π=3.14
Volume of sphere=4/3 xπ x r^3
904.39=4/3 x 3.14 x r^3
904.39=(4x3.14xr^3) ➗ 3
904.39=(12.56xr^3) ➗ 3
Cross multiplying we get
904.39x3=12.56xr^3
2713.17=12.56xr^3
r^3=2713.17 ➗ 12.56
r^3=216.02
Taking the cube root of both sides
r=3√216.02
r=6.0002