All categories

3 years ago

Hello can anyone please help me to answer the question above. :) thank you.

Mathematics

1 answer:

Vikki [24]3 years ago

7 0

45 km at 54 km/hr

45 / 54 = 5/6

It took him 5/6 of an hour or 50 minutes I believe

61.4117 km per hr

You might be interested in

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

Which system of linear inequalities is graphed?

SIZIF [17.4K]

Answer:

A) {x < −2

{y ≤ −x − 2

Step-by-step explanation:

The first step is to treat these inequalities as Slope-Intercept equations, then graph them according to what you know about the rate of changes [slopes] of the lines. Then insert the inequality symbols later and figure out which line they get, based on their symbols:

Dashed Line → >, <

Solid Line → ≥, ≤

$x < -2$ is the vertical line with a less than sign, so it gets the dashed line, whereas the other line has a less than or equal to sign, so this line gets the solid line.

I am joyous to assist you anytime.

6 0

3 years ago

HELP PLEASE WILL MARK BRAINLIEST!!

Natali [406]

Answer:

Step-by-step explanation:

6 to the 16 power

4 0

3 years ago

Write an expression to represent the sum of three times the square of a number and -7.

xz_007 [3.2K]

Answer:

3x^2-7

-7 is the constant

3 is the coefficient

x is the variable

Step-by-step explanation:

(3x^2)+(-7)

4 0

3 years ago

In the coordinate plane, the x axis (y=0) and y axis (x=0) are perpendicular. The product of the slopes of two perpendicular lin

sleet_krkn [62]

Answer:

see the explanation

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

In the coordinate plane, the x axis (y=0) and y axis (x=0) are perpendicular

however

this definition does not apply to the lines y=0 and x=0.

because

The slope of the horizontal line y=0 is equal to zero and the slope of the vertical line x=0 is undefined

8 0

3 years ago