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-Dominant- [34]
4 years ago
10

Please help asap! I need this done tomorrow ​

Mathematics
1 answer:
d1i1m1o1n [39]4 years ago
6 0

Answer:

2x + 3y = 4

Step-by-step explanation:

The standard form:

Ax + By = C

So from the given form, arrange it to the standard form.

First, simplify the form by distribution.

y + 6 = -2/3(x - 11)

y + 6 = -2/3x + 22/3

Next, you make the fractions into whole by multiplying both sides by 3(this would eliminate all fractions).

(3)y + 3(6) = 3(-2/3x) + 3(22/3)

3y + 18 = -2x + 22

Now, arrange the "Ax" and the "C's".

3y + 18 = -2x + 22

2x + 3y + 18 = 22

2x + 3y = 22 - 18

2x + 3y = 4

Cheers!

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The distance between the points (12,9) and (0,4) is A) 14 units B) 13 units C) 15 units D) 16 units
Juliette [100K]

Answer:

Option B  13 units is correct.

Step-by-step explanation:

The formula used to find distance between 2 points is:

d(P1,P2)=\sqrt{(x_{2} -x_{1})^2 + (y_{2} -y_{1})^2 }

x₁ = 12 x₂ = 0 y₁= 9 and y₂=4

Putting values in the formula:

=\sqrt{(0-12)^2+(4-9)^2}\\=\sqrt{(-12)^2+(-5)^2}\\=\sqrt{144+25} \\=\sqrt{169} \\=13

So, Option B 13 units is correct.

6 0
3 years ago
Read 2 more answers
The perimeter of a tennis court is 210 feet if the tennis court is 27 feet wide, what is the length
Troyanec [42]
I got this:

Tennis court is a rectangle
(Rectangle - 2 sides the same length and the other 2 sides the same. So 2 pairs of equal length sides)

If one is 27 the other has got to be 27 as well - 27+27= 54
210 - 54 = 156
156 / 2 = the other "pair"

Hope that helps and correct me if I'm wrong!
4 0
3 years ago
Given a polynomial f(x), if (x − 4) is a factor, what else must be true?
ollegr [7]

Answer:

f(4)=0


Step-by-step explanation:

<em>The </em><em>Remainder Theorem</em><em> states that when you divide a polynomial f(x)  by a linear factor  (x-a) , where a  is a constant, the remainder is f(x)  evaluated at x=a</em>

<em>Moreover, according to the </em><em>Factor Theorem</em><em>, an extension of the Remainder Theorem, if the remainder of the function f(x) is </em><em>0</em><em> when evaluated at x=a , then (x-a)  is said to be a factor of the polynomial f(x)</em>

Given the 2 theorems above, it follows that if (x-4)  is a factor of f(x) , then the remainder is equal to 0 when f(x) is evaluated at x=4

Which means f(4)=0

Third answer choice is correct.


3 0
3 years ago
Read 2 more answers
the hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh
Nuetrik [128]

Keywords:

<em>System of equations, variables, hardcover version, paperback version, books </em>

For this case we must construct a system of two equations with two variables. Let "h" be the number of hardcover version books, and let "p" be the number of paperback version books. If the hardcover version of a book weighs 7 ounces and the paperback version weighs 5 ounces, to reach a total of 249 ounces we have:

7h + 5p = 249 (1)

On the other hand, if there are Forty-five copies of the book then:

h + p = 45 (2)

If from (2) we clear the number of books paperback version we have:

p = 45-h

As each paperback version book weighs 5 ounces, to obtain the total weight of the paperback version books, represented by "x" in the table shown, we multiply5 * p = 5 (45-h)

So, x = 5 (45-h)

Answer:

x = 5 (45-h)

Option D

8 0
4 years ago
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Complete the point-slope equation of the line through (-4,8) and (4,4)
S_A_V [24]

Answer:

y-4= -1/2(x-4)

Step-by-step explanation:

First you have to find the slope to write it in point slope

to do this you find change in Y over change in X

From -4 to 4 is postivite 8 and from 8 to 4 its -4

Now you do -4 divided by 8 and get -0.5 or -1/2 for slope now pick one of the points and put it in the formula y-y1=m(x-x1)

3 0
3 years ago
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