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3 years ago

Write a the equation of a line perpendicular to the line y=-7 and goes through the point (-2,3)

Mathematics

1 answer:

kap26 [50]3 years ago

6 0

Answer:

y = 3x + 2

Step-by-step explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

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If n+1 integers are chosen from the set

baherus [9]

Answer:

Pigeonhole Principle

Step-by-step explanation:

From series {1,2......2n} ; we need to select 'n + 1' integers.

Even integers series from above series = {2,4,6..........2(n-1), 2n}

Odd integers series from above series = {1,3,5........2(n-2), 2n-1}

So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.

Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.

4 0

3 years ago

CAN SOMEONE HELP ME PLEASE ASAP!?

Liono4ka [1.6K]

Answer:

True

Have a good day

4 0

2 years ago

I need help! this is due today!

Andrei [34K]

Answer:

4. 61

5. approximately 43

6. 120

Step-by-step explanation:

4. 80 + 39 = 119

180 - 119 = 61

5. 7x - 10 = 90

+10 +10

7x = 100

divide by 7

x = 14.3

3 times 14.3 = 42.9

6. 70 + 50 = 120

180 - 120 = 60

180 - 60 = 120

3 0

3 years ago

A line passes through the point (8,4) and has a slope of -3/4 Write an equation in slope-intercept form for this line.

Leokris [45]

Step-by-step explanation:

Hey there!

Given;

The line passed through point (8,4) and made slope (-3/4).

Note: Use one-point formula.

$(y - y1) = m(x - x1)$

Put all values.

$(y - 4) = \frac{ - 3}{4} (x - 8)$

$y - 4 = - \frac{3}{4} x - \frac{3}{4} \times - 8$

$y - 4 = - \frac{3}{4} x + 6$

$y = - \frac{3}{4} x + 6 + 4$

Therefore, the equation is: y = -3/4x +10.

Hope it helps...

3 0

3 years ago

Find the least common multiple of 12c^2 and 15c^3

galben [10]

12c² = 3c² · 4
15c³ = 3c² · 5c

LCM(12c²; 15c³) = 3c² · 4 · 5c = 60c³

8 0

3 years ago