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3 years ago

What is the correct answer of 4 3/4 + 2 5/6

Mathematics

1 answer:

quester [9]3 years ago

7 0

4 3/4+2 5/6

=19/4+25/6

=19/4+17/6

=91/12

=7 7/12

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Determine which ordered pairs are part of the solutions set for the inequality.(Hint - There may be more than 1 correct answer)"

Alisiya [41]

These ordered pairs are in the solution set of the equation x > y. ... (2, 0). 3(2) + 2(0) ≤ 6. 6 + 0 ≤ 6. 6 ≤ 6. (4, −1). 3(4) + 2(−1) ≤ 6. 12 + (−2) ≤ 6 ... 3).

6 0

3 years ago

Solve by graphing.

const2013 [10]

Answer:

(4,4)

Step-by-step explanation:

y = 2x - 4 -------eqn 1

4y = x + 12 ------eqn 2

From eqn 1 y = 2x - 4; insert in eqn 2

4 (2x-4) = x + 12 (open the bracket)

8x - 16 = x + 12 (taking like figures to the same side, sign changes)

8x - x = 12 + 16

7x = 28

x = 28/7

x = 4

From eqn 1

y = 2x - 4

y = 2(4) - 4

y = 8 - 4

y = 4

(x,y) = (4,4)

8 0

3 years ago

Which equation represents a line which is perpendicular to the line y = -x + 8?

natima [27]

Two lines are perpendicular between each other if their slopes fulfills the following property

$m_1m_2=-1$

where m1 and m2 represents the slopes of line 1 an 2, respectively.

To find the slope of a line we can write it in the form slope-intercept form

$y=mx+b$

Our original line is

$y=-\frac{1}{8}x+8$

Then its slope is

$m_1=-\frac{1}{8}$

Now we have to find the slope of the second line. Using the first property,

$\begin{gathered} m_1m_2=-1_{} \\ -\frac{1}{8}m_2=-1_{} \\ m_2=(-1)(-8) \\ m_2=8 \end{gathered}$

Then the second line has to have a slope of 8.

The options given to us are:

$\begin{gathered} x+8y=8 \\ x-8y=-56 \\ 8x+y=5 \\ y-8x=4 \end{gathered}$

Then we have to determine which of these options have a slope of 8. To do that we write them in the slope-intercept form:

$\begin{gathered} x+8y=8\rightarrow y=-\frac{1}{8}x+1 \\ x-8y=-56\rightarrow y=\frac{1}{8}x+7 \\ 8x+y=5\rightarrow y=-8x+5 \\ y-8x=4\rightarrow y=8x+4 \end{gathered}$

Once we have the options in the right form, we note that the only one of them that has a slope of 8 is the last one.

Then the line perpendicular to the original one is