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andreyandreev [35.5K]
3 years ago
8

Solution of y - x < -3

Mathematics
1 answer:
devlian [24]3 years ago
8 0

Answer:

Step-by-step explanation:

The inequality y - x < -3 should be solved for y, as follows:

Add x to both sides, obtaining:

y  <  x - 3

Note that this y  <  x - 3 has the form y = mx + b, which represents a straight line.  In this case the straight line would be y = x - 3, meaning that the slope of this line is 1 and the y-intercept is -3.

Because y  <  x - 3  involves the inequality symbol <, draw a dashed line, not a solid line.   The solution set consists of all points on the graph BELOW this dashed line y  <  x - 3.

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What is the equation of the line that passes through (-9,12) and is perpendicular to the line whose equation is y=1/3x 6?
tigry1 [53]
Y = 1/3x ? 6....slope here is 1/3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -3 (see how I flipped 1/3 and changed the sign)

y = mx + b
slope(m) = -3
(-9,12)...x = -9 and y = 12
now we sub and find b, the y int
12 = -3(-9) + b
12 = 27 + b
12 - 27 = b
-15 = b

so ur perpendicular equation is : y = -3x - 15
6 0
3 years ago
Find the value of two numbers if their sum is 12 and their difference is 4​
Maslowich

Answer:8 and 4

Step-by-step explanation:

8+4=12

8-4=4

(hope this helps)

4 0
2 years ago
Given that (-3,7) is on the graph of f(x), find the corresponding point for the function f(x + 5).
Stella [2.4K]
We have that
<span>(-3,7) is on the graph of f(x), find the corresponding point for the function
f(x + 5)

we know that
in the transformation f(x)-------> f(x+5)
the point (x.y) in f(x) becomes a point (x-5,y) in f(x+5)
so
(-3,7)-----------> becomes a point (-3-5,7)------> (-8,7)

the answer is
</span>(-8,7)<span>

</span>
7 0
3 years ago
Read 2 more answers
What is 1/4×2/5÷1/3 as a fraction<br> please help
Vikki [24]

Answer:

3/10

Step-by-step explanation:

Please give brainliest!

hope this helps :)

the first step is to multiply 1/4 and 2/5

1/4 times 2/5 = 2/20

you figure this out by multiplying the numerators and denominators.

next, we solve 2/20 ÷ 1/3

we do this by taking the reciprocal of 1/3, which is 3/1, and then multiplying the fractions

2/20 times 3/1 = 6/20

6/20 = 3/10

4 0
2 years ago
Find the slope of the line passing through the points (-5,3) and (-7,5).
Alekssandra [29.7K]

Step-by-step explanation:

points (-7,5) and (5,-3)?

This would mean to subtract the y coordinates:

5 - (-3) = 8

Then subtract the x coordinates in the same order:

-7 - 5 = -12

Then divide the y result by the x result for the slope:

8/-12 is the slope.

In simplest form, this is equivalent to -2/3

4 0
2 years ago
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