Answer:
y= -x+7, b= sqrt(2P/a), c=3P^2-b
Step-by-step explanation:
First, make a table regarding both of the equations. You will eventually find out that both lines intersect at the point (2, 5) after you find the points on the table. From there, subtract x from both sides in the equation x + y = 2. You will get y = -x + 2. Since they said the line was parallel, find a line that has the slope of negative one. Since we know that this line intersects the point in which the first two lines intersect, we know that the y-intercept will be 7. The equation of the line would be y=-x+7.
Multiply both sides by 2. Then, divide both sides by a to get b^2=(2P/a). Take the square root to get the value of b, which is sqrt(2P/a).
Square both sides of the equation to get P^2=(b+c)/3. Cross multiply to get 3P^2=b+c. Subtract b from both sides to get c=3P^2-b.
That does not make any since...
Answer:
Step-by-step explanation:
Four
Start by trying to understand what f(x) means. First of all it is the same thing as y in the equation given in question 4. It is a shorthand that tells you that you put an x in wherever you see an x on the right.
More important, it tells you what to put in for x on the right.
f(z) would tell you to put z in for x anywhere there is an x on the right.
f(z)=2z+1. It is just a shorthand to tell you what to do on the right.
f(2) means put a 2 in for the x on the right. Read all of this carefully. You need to know it.
f(2) = 2(2) + 1
f(2) = 4 + 1
f(2) = 5
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Five
f(x) = -x - 5 The minus 4 is not going to change what you do.
f(-4) = -(-4) - 5 Wherever you see an x you put in a minus 4
f(-4) = 4 - 5
f(-4) = - 1
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Just so you know, consider a more complicated example
f(x) = 20x^3 + 7x^2 + 4x + 19
Where ever you see an x put in 2
f(2) = 20*(2^3) + 7*(2^2) + 4(2) + 19
f(2) = 20*8 + 7*4 + 4*2 + 19
f(2) = 160 + 28 + 8 + 19
f(2) = 215
Note x can be anything the question tells you it is.
f(5) means put a 5 in for every x.
Answer:
2 2/5
Step-by-step explanation:
14 divided by 5/6 is 2 2/5
Answer:
x=40
Step-by-step explanation:
Because every triangle's angles add up to 180 degrees, you know 3x+x+20=180. Since 3x and x are like terms, you can add them to get 4x. 20 and 180 are also like terms. However, to move your 20 to the side of 180, you need to subtract it. So you have 4x=160. To get x by itself, you divide 4x and 160 by 4. 4x/4 is x, and 160/4 is 40. So your answer is x=40.