Answer: (3.5,-2)
Step-by-step explanation:
To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.
4x-7y=28 [plug in y=-2]
4x-7(-2)=28 [multiply]
4x+14=28 [subtract both sides by 14]
4x=14 [divide both sides by 4]
x=3.5
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6x-5y=31 [plug in y=-2]
6x-5(-2)=31 [multiply]
6x+10=31 [subtract both sides by 10]
6x=21 [divide both sides by 6]
x=3.5
Now, we know the solution to the system is (3.5,-2).
ANSWER
EXPLANATION
From the Pascal's triangle,
The coefficients are :
1, 5, 10,10, 5,1
Because of the negative sign, the expansion will alternate sign.
We now put y=5 into the expansion to get,
Answer:
We are given:
No: of blocks Tegan still needs to make = m.
No: of blocks Tegan has completed = c
Total No:of more snow blocks need to make = 68 .
Total number of more snow blocks need to make = Total number of blocks - The number of blocks Tegan has completed.
m = 68 - c.
Therefore, the equation for the number of blocks Tegan still needs to make, m, when she has completed c blocks is
m = 68 - c.
For example.
Suppose if c = 10, it means Tegan still needs to make 68-10 = 58 block.
Answer:
$10
Step-by-step explanation:
300 divided by 30 is 10
Explanation:
First, we need to find the values of the sine and cosine of x knowing the value of tan x and x being in the 3rd quadrant. Since tan x = 5/12, using Pythagorean theorem, we know that
Note that both sine and cosine are negative because x is in the 3rd quadrant.
Recall the addition identities listed below:
Therefore, the expression reduces to
