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3 years ago

Write a equation for the line

Mathematics

1 answer:

aalyn [17]3 years ago

6 0

Answer:

y=-3x

Step-by-step explanation:

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A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

8 0

3 years ago

What is the approximate circumference of a semicircle with a radius of 30 centimeters

Dmitry [639]

Approximate circumference of a semicircle with a radius of 30 centimeters is 94.2 centimeter

Solution:

Given semicircle with a radius of 30 centimeters

To find: approximate circumference of a semicircle

To find circumference of semicircle we can divide the circumference of circle by 2

circumference of semicircle = circumference of circle $\div$ 2

$\text{ circumference of semicircle} = \frac{2 \pi r}{2} = \pi r$

Substituting the given radius = 30 cm,

$\text{ circumference of semicircle} = 3.14 \times 30 = 94.2$

Thus approximate circumference of a semicircle with a radius of 30 centimeters is 94.2 centimeter

8 0

3 years ago

You are having a pizza making party you will need 6 onces of dough and 4 onces of sauce for each person including youself the ho

Novay_Z [31]

Answer:

the ounces of dough did you buy is 78

Step-by-step explanation:

The number of dough ounces that should be buy is given below:

Given that

There is a requirement of 6 dough ounces and 4 sauce ounces

So for each person it would be

= 4 + 6

= 10

Now the total ounces bought is 130

So, the number of people used

= 130 ÷ 10 ounces

= 13 people

Now let us assume the number of dough ounces be x

Now if there is 6 dough ounces and there are 13 people

So, the total dough ounces purchased is

x = 6 × 13

= 78

Hence, the ounces of dough did you buy is 78

6 0

3 years ago

What is the equation, in slope-intercept form, of the line that passes through (0,3) and has a slope of -6?

olga55 [171]

Y - y₁ = m(x - x₁)
y - 3 = -6(x - 0)
y - 3 = -6(x) + 6(0)
y - 3 = -6x + 0
+ 3 + 3
y = -6x + 3

7 0

3 years ago

Plz help :)))))))

soldier1979 [14.2K]

Answer:

155

Step-by-step explanation:

a triangle all add up is 180

subtract 180 from 65

180-65=155

x=155

7 0

3 years ago