Step-by-step explanation:
Hi there!
From the question;
The slope of the line is 5/10 or 0.5.
Also the equation of the line passes through the point (0,5).
Note: Use one point formula. {i.e (y-y1)=m(x-x1)}
So, use the formula here and keep the values;
(y-5) = 5/10(x-0)
or, 10(y-5) = 5x
or, 10y-50 = 5x
or, 5x - 10y +50 = 0
Therefore, the required equation is 5x - 10y +50 = 0 or x-2y+10 = 0.
Hope it helps!
Answer:
y
=
3
√
27
x
−
54
+
5
Step-by-step explanation:
what r the answer choices?
and does this help?
Horizontal translation - 2 units right.
Vertical translation - 5 units up
Stretch / compression - stretched by a factor of 3.
Reflection - not reflected.
Answer:
(
40
37
,
−
39
37
)
Step-by-step explanation:
Answer:
0.5798 or 57.98%
Step-by-step explanation:
The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).
Therefore, the probability that two particular people A and B will be on the same team is:
The probability is 0.5798 or 57.98%.
Answer:
Step-by-step explanation:
I don't see any information on dimensions of the cans or box, so I'll assume the question wants a general solution.
Three steps will result in the volume of sand required to fill the remaining space in the box.
1. Calculate the volume of a can using the equation for the volume of a cylinder: Vol = πr²h
2. Multiply the can volume by 12. This will give the total volume of the 12 cans in the box.
3. Calculate the volume of the box: Volume = (Base)(Width)(Height)
[Make sure the units are the same as those used in calculating the can volume. E.g., if the can is calculated with cm as the measue, the box dimensions must also be cm]
4. Subtract the volume of the12 cans (from step 2) from the volume of the box.
The result from 4 will be the volume of sand required to fill the box containing 12 cans.
I'm not clear why filling the box with sand is important, but perhaps it will absorb any soda released from cans broken when the heavy box is dropped by the person shocked that 12 cans of pop could be so heavy.
