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STALIN [3.7K]
3 years ago
10

What is the difference of 97 and 79?? Do You has ever to multiply them??

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
3 0
97 minus 79 is 18. You don't have to multiply them :)
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Dave uses the functionP(d) = 20d - 20 to calculate the net profit of his dog walking business. Where P(d) is the net profit in d
Lelechka [254]

When Dave walks three dogs he will earn a net profit of 40 dollars.

3 0
3 years ago
Find the equation for the plane that contains the line x=−1+3t , y=1+2t, z=2+4t and is perpendicular to the plane containing the
Ivan

Let L be the line given by the vector equation

(-1,1,2) + \lambda(3,2,4) \ , \lambda \in \mathbb{R}.

First, we use the director vectors of the lines L1 and L2 to get the

vector equation of the plane containing them, which we denote by \Pi_1. This is,

\\\\\Pi_1  : (1,-1,5) + \alpha (2,-1,6) + \beta (1,1,-3) \ , \alpha, \beta \in \mathbb{R}\\\\\\

We observe that \vec{N} = (2,-1,6)\times(1,1,-3) = (-3,12,3) \ne (0,0,0). Therefore, the vector equation of \Pi_1 defines a plane and \vec{N} is a normal vector to \Pi_1.

 

Finally, the vector equation for the wanted plane, which we denote by \Pi, is

\Pi : (-1,1,2) + r(3,2,4) + s(-3,12,3), r,s \in \mathbb{R} \ .

Thus, if s = 0, then L \subset \Pi and since \vec{N} is parallel to \Pi, then it is perpendicular to \Pi_1.

8 0
3 years ago
Factor completely 15x2 - 6x + 5xy – 2y
vagabundo [1.1K]

The complete factorization of 15x² - 6x + 5xy - 2y is (5x - 2)(3x + y)

Step-by-step explanation:

If we have an expression of four terms, then we factorize it by using

the grouping factorization

In grouping factorization we do that

1. Collect each two terms with common factors into 2 brackets

2. Take the common factor from each bracket, which make the brackets

    equal each other

3. Take the bracket as a common factor, the answer will be 2 factors

    multiply by each other

∵ The expression is 15x² - 6x + 5xy - 2y

- Take the first 2 terms in a bracket and the last 2 terms in another

  bracket

∴ (15x² - 6x) + (5xy - 2y)

∵ The common factor of 15x² and 6x is 3x

- Divide each term by 3x

∵ 15x² ÷ 3x = 5x

∵ 6x ÷ 3x = 2

∴ (15x² - 6x) = 3x(5x - 2)

∵ The common factor of 5xy and 2y is y

- Divide each term by the common factor y

∵ 5xy ÷ y = 5x

∴ 2y ÷ y = 2

∴ (5xy - 2y) = y(5x - 2)

∴ (15x² - 6x) + (5xy - 2y) = 3x(5x - 2) + y(5x - 2)

∵ The bracket (5x - 2) is a common factor of the two terms

- Divide each term by the common factor (5x - 2)

∵ 3x(5x - 2) ÷ (5x - 2) = 3x

∵ y(5x - 2) ÷ (5x - 2) = y

∴ 3x(5x - 2) + y(5x - 2) = (5x - 2)(3x + y)

∴ 15x² - 6x + 5xy - 2y = (5x - 2)(3x + y)

The complete factorization of 15x² - 6x + 5xy - 2y is (5x - 2)(3x + y)

Learn more:

You can learn more about the factors in brainly.com/question/10771256

#LearnwithBrainly

4 0
3 years ago
Help please? its an exam
poizon [28]

Answer:

Option 2

Step-by-step explanation:

In ΔABC,

AD is a median and point M is the point of concurrence of all medians.

Therefore, point M is a centroid of the triangle.

And M will divide line AD in the ratio of 1 : 2 (Ratio of AM : MD)

Since, length of MD = 2 cm

Therefore, length of AM = 4 cm

Total length of AD = AM + MD

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                               = 6

Option 2 will be the answer.

7 0
3 years ago
Which function has a y-intercept of -16?
Kipish [7]

Answer:

None

Step-by-step explanation:

5 0
2 years ago
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