Step-by-step explanation:
x is 12 because DE is twice BC
Answer:
The value of a is 3
Step-by-step explanation:
First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)
y--2=-3(x-6), which simplifies to y+2=-3(x-6)
In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.
7+2=-3(x-6),
Combine like terms on the left side to get to 9=-3(x-6)
Multiply out on the left to get 9=-3x+18
Subtract 18 from the left side to get -9=-3x
Divide both sides by negative 3 to get 3=x (remember x is a)
Hello there, multiply to each side of ratio until you get the answer, which in this case you have to multiply 4 to each side, therefore...
B= 28
A= 16.
Hope this helps!!
~Brainliest
Base case: if <em>n</em> = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.
Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have
(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1
… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>
… = 2<em>m</em> + 2<em>k</em>
… = 2 (<em>m</em> + <em>k</em>)
which is clearly even. QED
He drinks 8 glasses of water in one day. to know the number of glasses he drinks in 365 days, simply use cross multiplication as follows:
number of glasses per year = (365*8)/1 = 2920 glasses
so, yes his assumption is reasonable if he kept the same rate (8 glasses per day each day)
