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4 years ago

Which statement is true about angles 3 and 5

Mathematics

1 answer:

Luba_88 [7]4 years ago

6 0

Answer:

could you please provide a picture of the angles

Step-by-step explanation:

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A. Show that the vector v = ai + bj is perpendicular to the line ax + by = c by establishing that the slope of v is the negative

pishuonlain [190]

Answer:

Part A:

$m_1m_2=-1$

$\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1$

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector = $\frac{b}{a}$

Step-by-step explanation:

Condition for perpendicular is:

$m_1m_2=-1$

Part A:

Consider the vector v = ai + bj

x component of vector=a

y component of vector=b

Slope of vector= $m_1=\frac{y}{x}=\frac{b}{a}$

Consider the line ax + by = c:

Rearranging the equation:

ax+by=c

by=c-ax

y= $\frac{-ax}{b}+\frac{c}{b}$

According to general equation of line: $y=mx+c$

Where m is the slope

In our case the slope of above line is:

$m_2=\frac{-a}{b}$

According to the condition of perpendicular:

$m_1m_2=-1$

$\frac{b}{a}(\frac{-a}{b})=-1\\-1=-1$

Hence proved that Vector= ai + bj is perpendicular to the line ax + by = c.

Part B:

Slope of vector is also calculated above.

Since the slope of vector is negative reciprocal of the slope of the given line:

According to equation of line ax + by = c

y= $\frac{-ax}{b}+\frac{c}{b}$

According to general equation of line: $y=mx+c$

Where m is the slope

Slope of given line=m= $\frac{-a}{b}$

negative reciprocal of the slope of the given line = $\frac{b}{a}$

Slope of vector = $\frac{b}{a}$

5 0

3 years ago

Find the volume of the cylinder. Use 3.14 for

dexar [7]

Answer:

volume = 16956 meters

Step-by-step explanation:

volume = area * height

= pi * r^2 * height

= 3.14 * (30m/2)^2 * 27

volume = 16956 meters

4 0

3 years ago

A circle has an area of 50.24 square centimeters. What is the circumference?

umka21 [38]

Answer:

C=25.13cm

Step-by-step explanation:

A=50.24

A=πr^2

C=2πr

Solving for C

C=2 square root πA=2xsquare root πx50.24=25.12637cm

6 0

3 years ago

Find the mean and the median of 6 ,5 ,3 ,28, 6 ,4 ,7

kozerog [31]

Mean is 8
you have to add all the numbers and then divide it by the number of elements you have in this case 7

8 0

3 years ago

L,m,n share money in the ratio 2:3:5. What fraction of money does m receive?

vaieri [72.5K]

Marcus has created a budget for his upcoming trip to the theme park. Admission is 40% of the budget. He plans to spend 32% of his money on food, 23% on souvenirs, and save 5% for emergencies. He knows the admission will be $6 less than he will spend on food and souvenirs. How much money will Marcus need to take to the park?

solve my question giving 18 points

5 0

3 years ago

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Which statement is true about angles 3 and 5​

Which statement is true about angles 3 and 5