Hat value is needed to fill in the blank to make this trinomial a perfect square trinomial. 4x2 + __x + 81?

Mathematics

1 answer:

Doss [256]3 years ago

4 0

36, because the square root of 4 is 2 and the square root of 81 is 9. You multiply those and then double it to get 36.

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Label each tick mark with its location on the number line:

Aleksandr-060686 [28]

From my understanding the question is basically asking u to label each Dash/tick mark on the line. They have already given u 0 as the first one, 24 as the fifth one and 60 as the eleventh one. I’m assuming u can use any method.
Answer: use any method of division or skip counting then you will see that each line increases by 6

First line: 0
Second line: 6
Third line: 12
Fourth line: 18
Fifth line: 24
Sixth line: 30
Seventh line: 36
Eight line: 42
Ninth line: 48
Tenth line: 54
Eleventh line: 60

4 0

3 years ago

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What is the constant of proportionality for 6,47.94?

Maurinko [17]

$\boxed{k=7.99}$

<h2>Explanation:</h2>

In this exercise, we have the following point:

$(6,47.94)$

Let's assume that y varies directly as x, so this implies we can writ y as the product of x and some non-zero real constant k. In a mathematical language:

$y=kx$

As you can see, this is the equation of a line whose slope is k and passes through the origin. Therefore, the slope of the line is the constant of proportionality we are looking for:

$Solving \ the \ equation \ for \ k: \\ \\ k\frac{y}{x} \\ \\ Where: \\ \\ x=6 \\ y=47.94 \\ \\ k=\frac{47.94}{6} \\ \\ \therefore \boxed{k=7.99}$