All categories

4 years ago

Identify an equation in point slope form for the Line perpendicular to y=-4x-1 that passes through (-2,7)

Mathematics

1 answer:

Sladkaya [172]4 years ago

6 0

Answer:

$y - 7 = \frac{1}{4}(x + 2)$

Step-by-step explanation:

Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are. Plus, perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES] so −4 becomes ¼.

I am joyous to assist you anytime.

You might be interested in

First: State the degree and tell which monomial (term) you determined to be the one as the greatest degree. Second: Classify eac

kobusy [5.1K]

Answer:

$1.\text{ }7x^4+5x^2+x-9$

The term with the greatest degree is $7x^4$

The polynomial has degree 4 and is classified as a quadratic polynomial of 4 terms.

$2.\text{ }7x^6-4x^3+1/x$

It is not a polynomial.

Explanation:

Polynomials are expressions with terms composed of monomials.

A monomial is an expression formed by the product of a coefficient (constant numbers, like 3, 4/5, or even a root), and a literal part.

The literal part may consist of one or more letters and each letter may be raised to a non-negative integer number (positive or zero).

Hence, for instance, (2/9)x²y⁵z⁴³ is a monomial.

The given expressions are:

$1.\text{ }7x^4+5x^2+x-9$

$2.\text{ }7x^6-4x^3+1/x$

$1.\text{ }7x^4+5x^2+x-9$

This expression is a polynomial formed by 4 terms or monomials.

The monomials are:

$7x^4,\\ \\ 5x^2,\\ \\ x,\text{ }and\\ \\ 9$

The degrees of each monomial are:

$7x^4,\text{ }degree\text{ }4\\ \\ 5x^2,\text{ }degree\text{ }2\\ \\ x,\text{ }degree\text{ }1,\text{ }and\\ \\ 9\text{ }degree\text{ }0$

Thus, the one with the greatest degree is $7x^4$ . It defines the degree of the of the polynomial; hence the polynomial has degree four and is classified as quartic polynomial of four terms.

$2.\text{ }7x^6-4x^3+1/x$

This is not a polynomial, because the letter in the last term, i.e. 1/x has a negative power:

$1/x=x^{-1}$

As stated above, the powers have to be positive integers or zero (for the constant term).

Some special names used to classify the polynomials are:

Degree 1 – linear

Degree 2 – quadratic

Degree 3 – cubic

Degree 4 – quartic

Degree 5 – quintic

You can find other classifications in your book or in the internet.

7 0

4 years ago

*HURRY AND ANSWER, ILL GIVE BRAINLIEST*

Nastasia [14]

Answer:

1.45%+4.2%= 5.65%

100%->650

5.65%-> 36.725

650- 36.725 - 10 = 603.275

~ 603. 27

hence answer is b

8 0

3 years ago

Sung Lee invests $4,000 at age 18. He hopes the investment will be worth $16,000 when he turns 25. If the interest compounds con

irinina [24]

Answer:

The growth rate he needs to achieve his goal is approximatelly 19.8%

Step-by-step explanation:

Since the sum will be compounded continuously we have to use the appropriate formula given below:

M = C*e^(r*t)

Where "M" is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed. Since Sung Lee will invest that sum at 18 years old and he wants to recieve the return at 25, then the time elapsed is given by 25 -18 = 7 years. We can now apply the data to the formula:

16000 = 4000*e^(r*7)

4000*e^(7*r) = 16000

e^(7*r) = 16000/4000 = 4

ln[e^(7*r)] = ln(4)

7*r = ln(4)

r = ln(4)/7 = 0.198

The rate of interest is given by (r)*100%, so we have (0.198)*100% = 19.8%.

4 0

3 years ago

Order the relative frequencies from least to greatest

Lostsunrise [7]

Answer:

3rd, 1st, 2nd

Step-by-step explanation:

So first rectangle says clay pieces entered by art 3 kids: relative freq there is 20/88 approx .23

The second rectangle says all painted by art 1 kids: 43/103 approx .42

Third rectangle says art 2 kids who did digital pieces: 24/109 approx .22

Lowest: third rectangle

Medium: first rectangle

Highest: second rectangle

7 0

3 years ago

The point slope form of the equation of the line that passes through (-5,-1) and (10,-7) is y+7=-2/5(x-10). what is the standard

KIM [24]

Option C

The standard form of the equation for y + 7 = -2/5(x - 10) is 2x + 5y = -15.

Solution:

Need to determine standard form of equation of line passing through points (-5, -1) and (10, -7) and having slope form as $y+7=-\frac{2}{5}(x-10)$

Standard form of equation of line is such that terms having variables are on left hand side and constant terms on right hand side.

So let’s simplify given slope form.

$y+7=-\frac{2}{5}(x-10)$

On opening the brackets we get

$y+7=\frac{-2 x+20}{5}$

=> 5(y + 7) = -2x +20

=> 5y + 2x = 20 – 35

=> 2x +5y = -15

Hence the standard form is 2x + 5y = -15.

8 0

4 years ago