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SVEN [57.7K]
3 years ago
10

3 (x+2)+9<6(x-3) solve the inequality and write the solution using interval notation​

Mathematics
1 answer:
Darya [45]3 years ago
6 0

Answer:

(11, ∞).

Step-by-step explanation:

3 (x+2)+9<6(x-3)

3x + 6 + 9 < 6x - 18

-3x < -18 - 6 - 9

-3x < -33

x > 11       (Note the inequality flips as we are dividing by a negative value).

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Point slope question
Mariulka [41]

Answer: (y + 3) = -1/3 (x - 2)

Step-by-step explanation:

Point-slope form has the form of

y - y1 = m (x - x1)

Where

y1 is the y-value of a point on the line

x1 is the x-value of a point on the line

m is the slope of the line

The problem already gives a point on the line, (2, -3)

(y + 3) = m (x - 2)

Remember to put the opposite value of the x and y values. (In other words, do NOT write (y - 3) = m (x + 2) )

The slope of a perpendicular line is the opposite reciprocal of slope of the line it is perpendicular to. The perpendicular line given in the equation is

3x - y = 4

When rearranged to slope-intercept form, we get

y = 3x - 4

Meaning the slope of the perpendicular line is 3. The opposite reciprocal of positive three is negative one-third. Therefore, the slope of the line we are solving for is -1/3.

4 0
3 years ago
Write an equation of the line that passes through point P and is parallelto the line with the given equation.P(-2, 1), 10x + 4y
Klio2033 [76]
\begin{gathered} 10x+4y=-8 \\ 4y=-10x-8 \\ y=-\frac{10}{4}x-2 \\ \text{The slope is m=-}\frac{10}{4} \\ \text{The new equation is-} \\ y-1=-\frac{10}{4}(x+2) \\ 4y-4=-10x-20 \\ 4y=-10x-16 \\ y=-\frac{10}{4}x-4\text{ (equation)} \\  \\ m=-\frac{10}{4} \\ b=-16 \end{gathered}

5 0
1 year ago
6=2-8 is this equation correct?
nirvana33 [79]

Answer:

8-2=6

Step-by-step explanation:

:)

8 0
2 years ago
Read 2 more answers
Simplify 63 7/8- 55 3/4
ivolga24 [154]
511/8-243/4

511/8-486/8=25/8
4 0
4 years ago
How do I solve this? It's so confusing.
Neporo4naja [7]
If I follow the angle degrees that they gave, your answers would be as follows:
I=145°
S=155° or 90°
E=78°
L=120° or 55°

Maybe this is right, sorry it took so long.
5 0
4 years ago
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