Answer:
Step-by-step explanation:
To solve using completing square, we need to write the equation as x2+3x=17.
The next step is to add a number such that the square can be completed. The number must be equal to (b/2a)^2, so here it will be (3/2)^2 = 9/4
The equation then becomes x2+3x+(9/4)=17+(9/4).
Solving it further will get you the final answer
Answer:
8
Step-by-step explanation:
The constant of variation is the constant in the equation: 8.
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The equation can be rewritten to be
y = 8/x
Compared to the generic equation for inverse variation, ...
y = k/x
we see that the constant of variation (k) is the constant in the given equation, 8.
Answer:
(2x/3) - 4
Step-by-step explanation:
"twice a number" ---> 2x
"quotient of twice a number and 3" ---> 2x/3
"4 less than" --> (2x/3) - 4
Could also be written as (2/3)x - 4
(-1,1)(1,4)
slope = (4 - 1) / (1 - (-1) = 3/(1 + 1) = 3/2
y = mx + b
slope(m) = 3/2
use either of ur points....(1,4)...x = 1 and y = 4
now sub and find b, the y int
4 = 3/2(1) + b
4 = 3/2 + b
4 - 3/2 = b
8/2 - 3/2 = b
5/2 = b
equation is y = 3/2x + 5/2...but we need it in standard form
y = 3/2x + 5/2
-3/2x + y = 5/2.....multiply both sides by -2
3x - 2y = -5 <==== ur standard form equation
Answer:
They are similar.
Step-by-step explanation:
They are similar because, the top triangle has one more square to the height as well as the width. If you take one square away from the height and width the top triangle is the same size as the bottom triangle.