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3 years ago

27 - (2 + 3) - 10 ÷ 2

Mathematics

2 answers:

svetlana [45]3 years ago

6 0

Answer:

27_5_10/2

27_5_5

22_5

inysia [295]3 years ago

6 0

You simplify and you get 27-5-10/2
and then you divide 10 and 2
27-5-5 then you subtract and get 17

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3 years ago

a temperature increase of 1 degree fahrenheit is equivalent to a temperature increase of 5/9 degree celsius

lana [24]

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3 years ago

Solve for x in -4| x - 3| = -16

andrey2020 [161]

Answer:

x=9

Step-by-step explanation:

-4|x-3| = -16

-4+x-3 = -16

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3 years ago

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 = $\frac{b}{a}$

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3 years ago

A save percentage in lacrosse is found by dividing the number of saves by the number of shots faced. A lacrosse goalie saved 9 o

Blizzard [7]

he would have to take 8 more shots.

Step-by-step explanation:

9saves divided by 12 shots = .75

if you keep adding a shot and a save each time, you get to 17saves divided by 20shots=.85.

Hope this helps!

3 0

3 years ago