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Digiron [165]
4 years ago
12

A given line has the equation 10x+2y=-2.

Mathematics
1 answer:
Iteru [2.4K]4 years ago
8 0

The equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

If two lines are parallel then their slopes are equal.

We have the following line:

10x + 2y = -2\\2y = -10x-2\\y = -5x-1

Thus, the slope of the line is -5.

Therefore a parallel line is of the form:

y = -5x + b

We replace the point (0,12)

12 = -5 (0) + b\\12 = b

Finally, the equation is of the form:

y = -5x + 12

Answer:

5x + y = 12

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List two primes that are consecutive natural numbers. can there be any​ others?
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Out of every two consecutive numbers one will always be even. There is only one even prime number. Whether there are an infinite number of pairs of primes which differ by two (the twin prime conjecture) is still open e.g. 3 , 5; 41 , 43 ; 101 , 103 .
3 0
4 years ago
Hey.. I’m really stuck on this page of homework, can anyone help?
eduard

Answer:

Easy!

Step-by-step explanation:

All you have to do is..       Percentage = (number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage, and two places to the left to convert from a percentage to a decimal.

Hope this helps :)

3 0
2 years ago
The manager of a cultured pearl farm has received a special order for five pearls between 7 millimeters and 9 millimeters in dia
steposvetlana [31]

Answer:

Probability is 0.3506

Step-by-step explanation:

We are given

mean is 8mm

so, \mu=8

standard deviation is 2.2 mm

so, \sigma=2.2

x-varies from 7mm to 9mm

At x=7:

we can use formula

z=\frac{x-\mu}{\sigma}

we can plug values

z=\frac{7-8}{2.2}

z=-0.45455

At x=9:

we can use formula

z=\frac{x-\mu}{\sigma}

we can plug values

z=\frac{9-8}{2.2}

z=0.45455

So, z is between -0.45455 and 0.45455

-0.45455\leq z \leq 0.45455

now, we can use normal distribution table

and we get

Probability is 0.3506

8 0
3 years ago
10. Error Analysis A student draws a triangle with a perimeter 36 cm. The
Tasya [4]

Answer:

see the explanation

Step-by-step explanation:

we know that

The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

In this problem

If the perimeter of triangle is equal to 36 cm

The longest side can't be equal to 18 cm

The student is incorrect

Because if the longest side is equal to 18 cm, and the perimeter is equal to 36 cm, then the sum of the other two sides is equal to 18 cm

and

Applying the triangle inequality theorem

Let

c  -----> the longest side

a and b the other two sides

we have that

if c=18 cm

a+b > c

a+b > 18 cm

therefore

If the longest side is 18 cm, the sum of the other two sides must be greater than 18 cm and the perimeter will be greater than 36 cm

4 0
3 years ago
Which expression can be used to find the surface area of the following square pyramid?
Alja [10]
The answer would be A
7 0
3 years ago
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