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3 years ago

Write an equation of a line containing (2, -3) and perpendicular to 3x+4y=14 answer

Mathematics

1 answer:

Sergio039 [100]3 years ago

7 0

Answer:

Step-by-step explanation:

From the condition of perpendicularity, if two lines must be perpendicular to each other, the product of their gradient rather the slope must be equaled to ( -1 ).

Equation of a line ; y = mx+ c, where m1 is the gradient of the line and c us the point of intersection if the line on the y- axis.therefore, the equation

3x + 4y = 14, when re arranged, now becomes, 4y = -3x + 14, divide through by 4, gives, y = -3x/4 + 14.

Therefore, m1, = -3/4 and m2, = 4/3 going by the condition. Since the line passes through the coordinate of (2,3), where x = 2, and y = -3, then, substitute for x and y in y = mx+ c, minding the m2, to find C, therefore,

-3 = 4/3x2 + c. -3 = 8/3 +c

Multiply through by 3 to make it a linear equation,

-9 = 8 + 3c; -9 - 8 = 3c, -17= 3c

c = -17/3.Now substitute for c in the equation ,y = mx+ c, the equation now becomes, y = 4x/3 - 17/3. Therefore the new equation is

3y = -4x - 17.

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Which equation is represented by the graph below?

garik1379 [7]

Answer:c

Step-by-step explanation:

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3 years ago

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25 Points!! What is the volume of the prism 1 1/2ft 3 1/2ft 2 1/2 ft? Please answer when you have the time to.

Vladimir79 [104]

Answer:

The first one: 13.125 ft³

The second one: 67.5 ft³

Step-by-step explanation:

For the first one:

The volume of a prism is length x width x height.

So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.

However, you can conver 1/2 to .5, to make it easier to multiply.

So, 3.5 x 2.5 x 1.5 = 13.125

Make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.

For the second one, same formula:

Length = 6, width = 2 1/2, and height = 4 1/2

6 x 2.5 x 4.5 = 67.5

Again, make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.

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In which of the following expressions does the number 24 fill in the blank so that the equation is true? Select all that apply.

S_A_V [24]

The answer is A, B, and D

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Divide a salad with six friends, 1/3 is missing, how much does each person get?

Talja [164]

Each friend gets 1/9. If you have 1 salad and 1/3 is missing that leaves you with 2/3, you have 6 friends and I am assuming they each get an equal amount so 2/3 equals 4/6, 4/6 equals 6/9, there are 6 people, they each get 1/9.

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3 years ago

The average performance rating of the employees at Company A is 6.5 on a scale from 1 to 10 (10 being highest). The standard dev

djyliett [7]

Answer:

The best choice would be hiring a random employee from company A

Step-by-step explanation:

<em>Supposing that the performance rating of employees follow approximately a normal distribution on both companies</em>, we are interested in finding what percentage of employees of each company have a performance rating greater than 5.5 (which is the mean of the scale), when we measure them in terms of z-scores.

In order to do that we standardize the scores of both companies with respect to the mean 5.5 of ratings

The z-value corresponding to company A is

$z=\frac{\bar x-\mu}{s}$

where

$\bar x$ = mean of company A

$\mu$ = 5.5 (average of rating between 1 and 10)

s = standard deviation of company A

$z=\frac{\bar x-\mu}{s}=\frac{6.5-5.5}{2.1}=0.7142$

We do the same for company C

$z=\frac{\bar x-\mu}{s}=\frac{7.4-5.5}{6.8}=0.2794$

This means that 27.49% of employees of company C have a performance rating > 5.5, whereas 71.42% of employees of company B have a performance rating > 5.5.

So, the best choice would be hiring a random employee from company A

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