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3 years ago

Let u = <-6, 1>, v = <-5, 2>. Find -4u + 2v

Mathematics

1 answer:

gayaneshka [121]3 years ago

8 0

-4u = <24,-4>;
2v = <-10,4>;
<24,-4> + <-10,4> = <14,0>;

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Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

Read 2 more answers

Use the area of the rectangle to find the area of the triangle. 10 ft

77julia77 [94]

Answer: 15

Aka the first one

7 0

3 years ago

1. The sum of the angles is 90° The difference between twice the larger angle and the smaller

Ostrovityanka [42]

Answer:

$\displaystyle 25°\:and\:°65$

Step-by-step explanation:

{90° = m∠1 + m∠2

{105° = 2m∠1 - m∠2

_______________

$\displaystyle \frac{195°}{3} = \frac{3m∠1}{3} \\ \\ 65° = m∠1$

All you have left to do is this:

$\displaystyle 25° = -65° + 90°$

So, your two angle measures are $\displaystyle 25°\:and\:°65.$

I am joyous to assist you anytime.

5 0

3 years ago

Pretty easy

Gnom [1K]

$63.2 80% of 79 = 63.2

5 0

3 years ago

A test is worth a total of 150 points and contains 70 questions. Some of the questions are worth 2 points and some are worth 4 p

GarryVolchara [31]

Answer:

$46 \times 2 = 92 \: points \\ 100 - 92 = 8 \: points \\ 4 \times 2 = 8 \\ two \: of \: the \: 4 \: points \: questions \: \\ were \: answered \: correctly$

7 0

3 years ago