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hjlf
3 years ago
12

(04.02 MC)

Mathematics
2 answers:
solong [7]3 years ago
8 0

Answer:

y = 2x - 4

Step-by-step explanation:

First find the slope of line QR. Write down in slope intercept form

Equation of QR:

x + 2y = 2

     2y = - x + 2

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

       y = \frac{-1}{2}x+1

Slope of line QR = m1 = -1/2

Slope of line perpendicular to QR = -1/m1

                                                        = \frac{-1}{\frac{-1}{2}} = -1*\frac{-2}{1}

                                                     m_{2} = 2

m2 = 2 & (5 , 6)

Equation of line perpendicular to QR:  

 y - y1 = m (x - x1)

y - 6 = 2 (x - 5)    

  y - 6 = 2x - 5 *2

 y - 6  = 2x - 10

Add 6 to both sides

 y = 2x - 10 + 6

Add like terms

y = 2x - 4

Scrat [10]3 years ago
7 0

Answer:

y = 2x - 4

Step-by-step explanation:

Rearrange the given equation to slope-intercept form.

x + 2y = 2

2y = -x + 2

y = -1/2x + 1

The slope of the given line is -1/2.  The slope of a perpendicular line will be the negative inverse, meaning that the slope will be 2.

-1/2 = 2

Find the equation of the new line with the point-slope form using the new slope and given point.

y - y₁ = m(x - x₁)

y - 6 = 2(x - 5)

y - 6 = 2x - 10

y = 2x - 4

The equation will be y = 2x - 4.

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The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is
Viktor [21]

Answer:

There are approximately 171 families in the sample.

Step-by-step explanation:

Percentile meaning:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

Twenty-four of the families in the sample turned on the television for 23 hours or less for the week. The 14th percentile of the data is 23 hours.

This means that 24 is 14% of the total number of families.

Approximately how many families are in the sample?

Using a rule of three.

24 - 0.14

x - 1

0.14x = 24

x = 24/0.14

x = 171.4

Rounding to the nearest integer

There are approximately 171 families in the sample.

5 0
2 years ago
A) Divide 20 in the ratio 2:3
Keith_Richards [23]

Answer:

a=8:12      c=£1.05:0.70  d=30:50:60:40

b=9:15

Step-by-step explanation:

8 0
3 years ago
In the picture thank you
dmitriy555 [2]

Answer:

The correct answer is b) 1100 adults and 1400 students.

Step-by-step explanation:

To find this, set up a system of equations in which x is the number of students who attend and y is the number of adults who attend.

First start by creating an equation for money made.

5x + 10y = 18,000

Now write an equation for the amount that attend.

x + y = 2,500

Now multiply the bottom equation by -5 and add the equations together.

-5x - 5y = -12,500

5x + 10y = 18,000

5y = 5,500

y = 1,100

Since this is the number of adults, we can plug into an original equation to find the number of students.

x + y = 2,500

x + 1,100 = 2,500

x = 1,400

5 0
3 years ago
Read 2 more answers
the length of a rectangle is twice its width the perimeter is 48 cm what are the dimensions of the rectangle
inysia [295]

Answer:

The length=16cm and the width=8cm.

Step-by-step explanation:

Given that the length is twice the breadth or width of the rectangle

Let's assume that the breadth of the rectangle is x.

Thus the length is 2x.

Given perimeter=48cm

The formula for the perimeter of a rectangle is 2(l+b) where l is length and b is breadth.

2(x+2x)=48

(3x)=48/2

3x=24

x=8cm

2x=16cm

5 0
2 years ago
Read 2 more answers
Olivia has taken an initial dose of a prescription
mrs_skeptik [129]

Answer:

  0.56 milligrams

Step-by-step explanation:

Put 6 where t is and do the arithmetic.

  M(6) = 50·e^(-0.75·6) = 50·e^-4.5 ≈ 0.56 . . . . milligrams

8 0
3 years ago
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