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2 years ago

1/3 = /6 - 1/6 = /6 How do you find the unlike denominator. Can you explain

Mathematics

1 answer:

lakkis [162]2 years ago

5 0

Answer:

Okay So I see you need to change 1/3 to a denominator of 6

You don't do anything to the -1/6

But to change the 1/3 you need to multiply 3 and 1 by two, which is 2/6

And the -1/6 stays the same

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A triangle has vertices on a coordinate grid at N (7,3), 0(-8, -3), and

Leokris [45]

Answer:

$d\approx 16.16\ units$

Step-by-step explanation:

<u>Distance Between two Points in the Plane</u>

Given two points A(x,y) and B(w,z), the distance between them is:

$d=\sqrt{(z-y)^2+(w-x)^2}$

The triangle formed by the points N (7,3), 0(-8, -3), and P(-8,-8) is shown in the image provided.

We are required to find the distance between N and O:

$d=\sqrt{(-3-3)^2+(-8-7)^2}$

$d=\sqrt{(-6)^2+(-15)^2}$

$d=\sqrt{36+225}$

$d=\sqrt{261}$

Since 261=9*29:

$d=3\sqrt{29}$

$\mathbf{d\approx 16.16\ units}$

4 0

2 years ago

Evaluate 5x2−9 when x=−2

Elena-2011 [213]

answer: 11

explanation: just plug in -2 for x. the new problem becomes 5(-2)^2 - 9. Negative two squared is 4. 5 times 4 is 20. 20 minus 9 is 11.

3 0

2 years ago

What is the area of this trapezoid?

Ivanshal [37]

Answer: 357 cm²

Step-by-step explanation: In this problem, were asked to find the area of the trapezoid shown. Remember that a trapezoid is a quadrilateral with one pair of parallel sides. The formula for the area of a trapezoid is shown below

The b's are the bases or the parallel sides and the h represents the height.

So in the trapezoid shown, the bases are 15 cm and 27 cm and the height is 17 cm.

Plugging this information into the formula, we have .

Next, the order of operations tells us that we must simplify inside the parentheses first. 15 cm + 27 cm is 42 cm and we have

1/2 × 42 cm is 21 cm and we have (21 cm)(17 cm) which is 357 cm².

So the area of the trapezoid shown is 357 cm².

5 0

2 years ago

Does the following table shows a proportional relationship between the variables g & h

KATRIN_1 [288]

*the table being referred to is attached below

Answer:

The table does not show a proportional relationship between variable g and h.

Step-by-step explanation:

For a proportional relationship to exist between two variables, there must be a constant, of which serves like a unit rate, when comparing two variables.

Thus, in the table attached below, there is no obvious constant of proportionality between variable g and variable h.

Thus, $\frac{9}{3}$ ≠ $\frac{36}{6}$ ≠ $\frac{81}{9}$