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2 years ago

What is the distance between -2.2 , 8.4 on a number line

Mathematics

1 answer:

leonid [27]2 years ago

5 0

Answer:

10.2

Step-by-step explanation:

if u write is down with the decimals tgat and count that is what u would get also 2 plus 8 is ten and two pluse two is 41

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A farm has a small water tank with a diameter of 10 feet and a height of 4 feet. What is the lateral surface area of the water t

svp [43]

The Shape in this question is a cylinder
And the formula for finding the L.S.A of a cylinder is 2*pie*r*h
From the question, we are given the diameter so to get the radius we will divide the value for diameter by 2
D = 10/2
=5
Now, 2*3.14*5*4
L.S.A =125.6

5 0

3 years ago

Read 2 more answers

What is the gcf of 25 and 90

Yuliya22 [10]

25 = 5^2
90 = 2 . 3 . 3 . 5

GCF is not as greedy as LCM.
GCF is just on a diet, so it takes the same number and the smallest amount.

25 and 90 both have 5.
5^2 or 5 ?
Take the smaller one.
GCF = 5

3 0

3 years ago

Norm's electric bill for December 2013 was $149.32. In 2014 the electric bill was $194.31. Next year Norm expects the bill to be

docker41 [41]

A): 2013 = 149.32

Find difference of: 194.31

2014 = 194<u>.31</u> <u>149.32</u>

= <u>44.99</u>

<u>2015</u> Total Will Be:

B):

149.32 + 25 = 174.32

(2013)

(B) (A)

6 0

2 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 = $\frac{b}{a}$

5 0

3 years ago

HELP FAST PLEASE I'LL MARK YOU BRAINLIEST

BlackZzzverrR [31]

Answer: y = -1/3x -5 (4th option is correct)

Step-by-step explanation:

The slope of a perpendicular line is opposite reciprocal --> -1/3
Find b.
-4 = -3(-1/3) + b
-4 = 1 +b
-5 = b

8 0

3 years ago