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Natali [406]
2 years ago
9

Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3. Use a forward slash (i.e. "/") for fractions (e.

g. 1/2 for 12).
Mathematics
1 answer:
IRINA_888 [86]2 years ago
3 0
Y = -1/5x + 2

A line perpendicular to another line has an opposite reciprocal slope. What opposite means is that you flip the sign (from - to + or from + to -) and reciprocal means that you flip the numerator and denominator (so if line A is perpendicular to line B and line As slope is -3, line Bs slope would be 1/3).

First find the slope of 5x - y = -3
Add y to both sides
5x = y - 3
Add 3 to both sides
y = 5x + 3

So the slope of the line is 5. That means the slope of of the perpendicular line is -1/5.

Plug the slope of the perpendicular line and the point (5, 1) into point slope form to solve the equation

y - y1 = m(x - x1)
y - 1 = -1/5(x - 5)
y - 1 = -1/5x + 1
y = -1/5x + 2
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Can someone do #1 and #2 I don't really get the answer. My teacher hasn't explain anything. He just gave us the paper and we got
Elenna [48]
1) f(x) + g(x)

= 7√x + 4 + 2√x - 2

= √x(7 + 2) + 2

= 9√x + 2  [ Final Answer ]

2) f(x) - g(x)

= 7√x + 4 - (2√x - 2)

= 7√x + 4 - 2√x + 2

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Hope this helps!
5 0
3 years ago
Do these look right?
bezimeni [28]

Answer:

yes it look right like the one you have to do 2x+5=39

5 0
2 years ago
370 College freshmen were interviewed. 200 were registered for an Advanced Math class. 270 were registered for an English class
frozen [14]

Answer:

Step-by-step explanation:

To aid in understanding, draw three circles...

100 were registered for both Math and English.

50 were registered for both Sport and English but not Math.

70 were registered for Math, Sport, and English.

From here we will be able to calculate for those that signed up for only English class: Total number of students that signed up for english class

a. none signed up only for Maths (refer to attached document)

b. How many signed up for neither Math nor English meaning they signed up for only sports which is 70 from the venn diagram in the attachment.

c. How many signed up for an English class and at least one other class?

From the venn diagram:

we could have an English class and maths class - 100

we could also have an a English class and sports - 50

Thus total is 150.

d. What is the total fee for all the students enrolled in classes

From the diagram, 120 (english only and sport only) enrolled for only one class = 120 x $100 = $12,000

From the diagram, 180 (english and sport, maths and sport and english and maths) enrolled for two classes = 180 x $150 = $27,000

From the diagram, only 70 enrolled for the three classes = 70 x $200 = $14,000

Total fees = $12,000 + $27,000 + $14,000 = $53,000

5 0
3 years ago
you are in charge of buying flowers for the flower beds around your school you cannot spend over $80 on flowers the flowers cost
Elena-2011 [213]
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the answer: 7 flats of flowers

hope it helps :)
4 0
3 years ago
N his road trip, Leon stops to refuel and get some snacks. He has the following purchases:
tresset_1 [31]

Answer:

C. Paid $2.60 too much

Step-by-step explanation:

Gas 12 x 2.89 = 34.68

granola 2 x 1.59 = 3.18 x 1.075 = 3.4185

apple .89 x 1.075 = 0.95675

vitamin water 2 x 1.39 = 2.78 x 1.075 = 2.9885

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  0.95675
+ 2.9885
---------------------
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  $44.64
- $42.04
---------------------
  $2.60

3 0
2 years ago
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