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Nimfa-mama [501]
3 years ago
9

What is the equation of the line that is parallel to the line y = -1/3 x + 4 and passes through the point (6, 5)? A: y = x + 3 B

:y = x + 7 C: y = 3x – 13 D: y = 3x + 5
Mathematics
2 answers:
Montano1993 [528]3 years ago
4 0
None of them are parallel but D. is perpendicular. I'm sorry if this doesn't help...
blondinia [14]3 years ago
4 0

Answer:

y=-\frac{1}{3}x+7

Step-by-step explanation:

the equation of the line that is parallel to the line y = -1/3 x + 4 and passes through the point (6, 5)

y=-\frac{1}{3} x+4 is the given equation.

We find out slope from the given equation. Slope is the coefficient of x

Slope of given line= -\frac{1}{3}

slope of parallel line is same as the slope of given line

Slope of parallel line =  -\frac{1}{3}

Now we use point slope formula to get the equation of the line

y-y_1=m(x-x_1), m=-1/3, x1=6 and y1=5

y-5=-\frac{1}{3}(x-6)

multiply the fraction inside the parenthesis

y-5=-\frac{1}{3}x+2

Add 5 on both sides

y=-\frac{1}{3}x+7

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Thepotemich [5.8K]

Answer:

x+18

Step-by-step explanation:

6 0
3 years ago
A food company sells salmon to various customers. The mean weight of the salmon is 37 lb with a standard deviation of 2 lbs. The
brilliants [131]

Answer:

The standard deviation for the mean weigth of Salmon is 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount order stores.

Step-by-step explanation:

The mean sample of the sum of n random variables is

\overline{X} = \frac{X_1+X_2+...+X_n}{n}

If X_1, ..., X_n are indentically distributed and independent, like in the situation of the problem, then the variance of X_1 + .... + X_n will be the sum of the variances, in other words, it will be n times the variance of X_1 .

However if we multiply this mean by 1/n (in other words, divide by n), then we have to divide the variance by 1/n², thus \overkine{X} = \frac{V(X_1)}{n} and as a result, the standard deviation of \overline{X} is the standard deviation of X_1 divided by \sqrt{n} .

Since the standard deviation of the weigth of a Salmon is 2 lbs, then the standard deviations for the mean weigth will be:

  • Restaurants: We have boxes with 9 salmon each, so it will be \frac{2}{\sqrt{9}} = \frac{2}{3}
  • Grocery stores: Each carton has 49 salmon, thus the standard deviation is \frac{2}{\sqrt{49}} = \frac{2}{7}
  • Discount outlet stores: Each pallet has 64 salmon, as a result, the standard deviation is \frac{2}{\sqrt{64}} = \frac{1}{4}

We conclude that de standard deivation of the mean weigth of salmon of the types of shipment given is: 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount outlet stores.

7 0
3 years ago
Rotate the triangle 180° about the cross.
V125BC [204]

A triangle is a three-edged polygon with three vertices. If the triangle is rotated 180° about the cross then it will be done as shown below.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to b

If the triangle is rotated 180° about the cross then it will be done as shown below. This is because the triangle is 2 units away from the cross(dot) therefore, after rotation it will be at the same distance from the point.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

6 0
2 years ago
A saleswoman received $40
dangina [55]

you multiply the commission by her sales and get 25.20$ then add that to her bae pay of 280 a week and get 305.20$ as your answer.

4 0
3 years ago
Jonathan can throw a baseball 10 1/3 yards. His brother Joey can throw a baseball 13 1/2 yards. How much father can Joey throw t
butalik [34]

let's firstly convert the mixed fractions to improper fractions, and then subtract.


\bf \stackrel{mixed}{10\frac{1}{3}}\implies \cfrac{10\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{31}{3}}~\hfill \stackrel{mixed}{13\frac{1}{2}}\implies \cfrac{13\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{27}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{27}{2}-\cfrac{31}{3}\implies \stackrel{\textit{using the LCD of 6}}{\cfrac{(3)27~~-~~(2)31}{6}}\implies \cfrac{81~~-~~62}{6}\implies \cfrac{19}{6}\implies 3\frac{1}{6}

5 0
3 years ago
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