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3 years ago

Write the equation of the line with an x-intercept at (0,2) and perpendicular to 3x+4y=12.

Mathematics

2 answers:

Deffense [45]3 years ago

8 0

The answer is y=4/3+2

juin [17]3 years ago

6 0

First you normalize 3x+4y=12 into y = -3/4 x + 3 (dividing by 4).

Then you observe that the slope of the line is -3/4 (it's always the factor with the x). A perpendicular line has the reciprocal slope. Reciprocal means inverted and negated. So -3/4 becomes +4/3.

The equation will thus look like y = 4/3 x + b. To find b, we fill in the given x intercept (0,2), (we get 2 = 4/3 * 0 + b). With x=0, b must be 2.

So the equation is: y = 4/3 x + 2

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Bharat and ingrid leave their building at the same time on their bikes and travel in opposite directions. If bharat's speed is 1

yanalaym [24]

Answer:

3 hours

Step-by-step explanation:

speed of Bharat = 12kilometers / hour

speed of Ingrid=14 kilometers / hour

For this problem we'll be using formula relating time, distance and speed.i.e

Distance = speed x time

Suppose Bharat is riding at a distance of 'b' kilometers, therefore time taken by him will be:

Time = distance/ speed

Time= b/12 hours.

Also, Ingrid can ride the distance at this time with speed of 14km/hr

The distance would be,

Distance = speed x time

Distance = 14 x (b/12) => 14b/12

Distance= 7b/6

Let ' $d_{b}$ ' be the distance that Bharat have covered after time 't'

therefore, $d_{b}$ = 12 x t

Let ' $d_{i}$ ' be the distance that Ingrid have covered after time 't'

therefore, $d_{i}$ = 14 x t

In order to find the time when they are 78 kilometers apart, we will add $d_{i}$ and $d_{b}$ , because they are travelling in opposite direction creating distance between them.

So,

$d_{i}$ + $d_{b}$ = 78

( 14 x t) + (12 x t) =78

14t + 12t =78

26t= 78

t= 78/26

t= 3hours.

thus, it will take 3 hours until they are 78 kilometers apart

6 0

3 years ago

Express this is scientific notation

Vitek1552 [10]

Place the decimal point right after the first nonzero digit, which is 3.

So you'll go from this $0.003045$ to this $3.045$ after this move.

Now ask yourself: "how many spots must I move the decimal point to get back to 0.003045?"

The answer is "3 spots to the left"

The exponent of the final answer is -3
The negative indicates "move left" and the 3 tells us how many places to move the decimal

Therefore, $0.003045 = 3.045 \times 10^{-3}$

Answer: Choice C)
This is assuming you meant to write the -3 as an exponent

6 0

3 years ago

Write the simplified form of -64^1/3

GREYUIT [131]

Answer:

-4

Step-by-step explanation:

Factor by the numbers from left to right.

$64^\frac{1}{3}$

$64=4^3$

$(\frac{4}{3})^\frac{1}{3}=4^3^*^\frac{1}{3}=4$

It changes to positive to negative.

-4

-4 is the correct answer.

8 0

3 years ago

Calculate the Area of each of the following Figures:

kotegsom [21]

Answer:

2.2.1 Area = 12.6 cm²

2.2.2 Area = 12 cm²

Step-by-step explanation:

2.2.1:

The radius of the big circle is half the length of the square = 2.5 cm

The radius of the small circle is half of 3 cm = 1.5 cm

The area of the shaded portion is = Area of big circle - Area of small circle

π × 2.5²-π × 1.5² = 12.6 cm²

2.2.2

To find length BD (the height of the parallelogram) we need to use the Pythagorean theorem:

BD = √(5²-3²) = 4

Area = base x height = 3x4 = 12 cm²

3 0

1 year ago

1.A study was created to test the effects of jazz on people's sleep patterns. The hypothesis of the experiment was

ycow [4]

Answer:

Independent Variable: Jazz music

Dependent Variable: Sleeping Time

Experimental Group: people sleeping with jazz music

Control Group: people sleeping without jazz music

3 constants:

No of people in group

Jazz music

Sleep

Step-by-step explanation:

The independent variable is the one which is not altered by any outer influence. For example the jazz music will not be interrupted by the sleeping habits of people.

The dependent variable is the one which is affected by external changes such as sleeping time is afffected by external music or noises.

Experimental group on which experiment is being carried out.

Control group is which determines the changes in experimental group.

Constants which do not change for the number of experiment, could be number of people, type of jazz music, volume of jazz music also sleep is a constant .

7 0

3 years ago