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3 years ago

Given the six rational numbers below, come up with the greatest sum, difference, product,

Mathematics

1 answer:

Svetlanka [38]3 years ago

3 0

The greatest sum, difference, product and quotient is 9, 12, 90 and 26 respectively.

<h3>How to determine the operations</h3>

Given the numbers -5 1/2, 3. 75, -20. 8, -4, 11 1/4

a. SUM

=8 + $11* \frac{1}{4}$

= $8 + \frac{45}{4}$

= $\frac{32 + 4}{4}$

= $\frac{36}{4}$

= 9

B. Difference

= 8 - (-4)

= 8 + 4

= 12

C. Product

= $8 * \frac{45}{4}$

= $2 * \frac{45}{1}$

= 90

D. Quotient

= $8 * 3. 25$

= 26

Thus, the greatest sum, difference, product and quotient is 9, 12, 90 and 26 respectively.

Learn more about algebra here:

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Given points F(3,1), G(5,2) H(2,4), and J(1,6)

Karo-lina-s [1.5K]

The slopes of perpendicular lines are opposite reciprocals

The true statement is that segments FG and HJ are perpendicular

<h3>How to determine the relationship between the segments</h3>

The coordinates of the points are given as:

F = (3,1)

G = (5,2)

H = (2,4)

J = (1,6)

Start by calculating the slopes of FG and HJ using the following slope formula

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$FG = \frac{2 -1}{5 -3}$

$FG = \frac{1}{2}$

Also, we have:

$HJ = \frac{6 - 4}{1 - 2}$

$HJ = \frac{2}{-1}$

$HJ = -2$

To determine the relationship, we make use of the following highlights

Parallel lines have the same slope
The slopes of perpendicular lines are opposite reciprocals

From the computation above, we have:

The slopes of both lines are not equal
The slopes are opposite reciprocals i.e. 2 = -1(-1/2)

Hence, segment FG and HJ are perpendicular

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3 years ago

Find the following value

e-lub [12.9K]

Answer:

∠ BCA = 45°, ∠ AWD = 90°

Step-by-step explanation:

All angles are right angles by definition.

Diagonals bisect the angles , so

∠ BCA = 45°

Diagonals are perpendicular bisectors of each other, so

∠ AWD = 90°

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Help: Justify why one relation is a function and why the other is not. Relation 1:

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Relation 1 is a function because we don't have any repeated x values. Each input goes to exactly one output.

On the other hand, relation 2 is <u>not</u> a function because x = 4 repeats itself. The input x = 4 leads to more than one output.

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The denominator: (-2)^2 = 4

Now that the numerator and denominator are simplified, let's take the square root of 49/4

sqrt(49/4) = 3.5

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algol13

The answer is 3/7 APEX

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