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Oxana [17]
3 years ago
13

What is the equation of this line? A. y = 2x B. y = -2x C. y = -1/2x D. y = 1/2x

Mathematics
1 answer:
Maurinko [17]3 years ago
8 0

Answer:

The equation of the line whose length of the perpendicular from the origin is p and the angle made by the perpendicular with the positive x-axis is given by α is given by: x cos α+y sin α = p This is known as the normal form of the line.

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Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
harina [27]

The equation of line is:

y=-\frac{1}{2}x+6

Further explanation:

Given

y = 2x + 2

Comparing it with standard form:

y=mx+b

Let m1 be the slope of given line

m_1=2

We know that product of slopes of two perpendicular lines is -1

Let m2 be the slope of second line

m_1.m_2=-1\\2*m_2= -1\\m_2 = -\frac{1}{2}

Putting the value of m2 in standard form

y=-\frac{1}{2}x+b

To find the value of b, putting (6,3) in equation

3=-\frac{1}{2}(6)+b\\3=-3+b\\3+3=b\\b=6

Putting the values of b and m, we get

y=-\frac{1}{2}x+6

The equation of line is:

y=-\frac{1}{2}x+6

Keywords: Slope, Point-slope form

Learn more about slope at:

  • brainly.com/question/2688526
  • brainly.com/question/2920401

#learnwithBrainly

4 0
3 years ago
Read 2 more answers
A grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease
goldenfox [79]

Answer:

Last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.

Step-by-step explanation:

Since a grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month, and on the other hand, her store sold 791 pounds of broccoli this month, which It represents an increase of 25% from last month, to determine how much ice cream and broccoli did the store sell last month, the following calculation must be performed:

Ice cream = 100 - 10 = 90

90 = 521

100 = X

100 x 521/90 = X

52,100 / 90 = X

578.88 = X

Broccoli = 100 + 25 = 125

125 = 791

100 = X

100 x 791/125 = X

79,100 / 125 = X

632.8 = X

Therefore, last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.

7 0
3 years ago
Please help!! Will mark brainliest
Ad libitum [116K]

Answer:

see below

Step-by-step explanation:

It is flipped about the x-axis so

g (x) =  -f(x)  = -e^x

and it is shifted 2 units RIGHT

    g(x) = - e^(x-2)

7 0
2 years ago
A prism has 9 faces,how many vertice does this prism have?​
kow [346]

the prism has 14 vertices.

5 0
3 years ago
If 3/4 of a cup of food gives you 40% of your daily value of calcium, then how many cups of the food will give you 100% of the d
VARVARA [1.3K]

Answer:

3/2 cups of food

Step-by-step explanation:

3/4 cups              40%  (This was given in the question)

6/4 cups              80%  (Then double the amount. 3/4 x 2 = 6/4 | 40 x 2 = 80)

3/2 cups              100% (Finally, add the remaining 20% to get to 100%. To do so add half of the amount you added earlier. 6/8 + 6/4 = 18/12 | 18/12 = 3/2)

5 0
3 years ago
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