For what values (cases) of the variables the expression does not exist: a/2x−4

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x+16\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{1} \implies -3}}\)

so we're really looking for the equation of a line whose slope is -3 and it passes through (-9 , 13)

\((\stackrel{x_1}{-9}~,~\stackrel{y_1}{13})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-9)}) \implies y -13 = - 3 ( x +9) \\\\\\ y-13-3x-27\implies {\Large \begin{array}{llll} y=-3x-14 \end{array}}\)

Answer:

m = 1/3

m⊥ = -3

x1 = -9

y1 = 13

point slope: y-13 = -3(x+9)

slope intercept: y= -3x-14

Step-by-step explanation:

Equation given is in y=mx+b form, so I think m=1/3 (or whatever is right before the x cause it is little hard to see)

To find a perpendicular slope, you use the negative reciprocal of the given slope, so the perpendicular slope would be m=-3

x1 and y1 would be the given coordinates so -9 and 13 respectively

Finally plug in all this info into point slope form equation (y-y1 = m(x-x1)

Point slope would be: y-13 = -3(x+9)

Slope intercept would be: y= -3x-14

Hope this helps!

Answer: 60 I think

Step-by-step explanation: 200 dollar multiply by 0.03 then times 10.

3% is equal to 0.03 and by ten years means to multiply.

Answer:

"The population is the total number of people who go to the mall, and the sample is the first 75 people at the mall".

Step-by-step explanation:

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

Answer:

Sure, I'll explain the cosine rule and sine rule in simple terms:

The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Here's an example of how to use the cosine

Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.

Using the cosine rule:

a^2 = b^2 + c^2 - 2bc * cosA

where A is the angle opposite side a, we can plug in our values and solve for a:

a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)

a^2 = 64 + 36 - 96 * 0.707

a^2 = 10.56

a = sqrt(10.56)

a = 3.25 (rounded to two decimal places)

Therefore, the length of side a is approximately 3.25 units.

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because the circle is on top of 3 and its not shaded in so x is smaller than 3

Answer:

12x² - x³

Step-by-step explanation:

Let that number be x.

The product of 12 and x².

12 × x²

Subtracted from x³.

12 × x² - x³

12x² - x³

Answer:

If you multiply 256 by 10 powered by k, then the number of zeros in the product is k

Step-by-step explanation:

Let x be any integer, if you multiply x by 10 you will have to add one zero at the right of x. If you multiply by 10 again, you will have to add a second zero at the right, thus if you multiply by 100, you will have to add 2 zeros. If you multiply by 1000 = 10*10*10 = 10³ you will have to add 3 zeros and so on.

Therefore, if you multiply 256 by 10^k, then you will have to add k zeros to 256, and as a consequence, the amount of zeros in the product is equal to the power of 10 we are multiplying.

Answer:

14

Step-by-step explanation:

This is the GCF.

Answer:

The answer is E

551.6ft²

Step-by-step explanation:

Area of shape =Area of rectangle +Area of circle

A=25×15+22/7×7.5²

A=375+176.8

A=551.7ft²

Answer:

Step-by-step explanation: Well I have no idea

Answer:try asking mathaway

Step-by-step explanation:they solve

Answer:

A) X = 4 - 7Y

B) Independent Variable: Y, Dependent Variable: X

Step-by-step explanation:

Explanation for A:

We form a simple equation, knowing that if he drinks y liters each day after one week it would be 7Y. Then, we'd subtract it from 4

So equation would be X = 4 - 7Y

Explanation for B:

The independent is Y because doesn't change or get affected by another variable, and the dependent variable is X because depending on the value of Y, X will change accordingly.

Answer:

30 centimeters

Step-by-step explanation:

\(\frac{24}{4} :\frac{y}{5}\)

4 × y = 24 × 5

4y = 120

4y ÷ 4 = 120 ÷ 4

y = 30

Answer:

3 7/8

Step-by-step explanation:

You add all of the numbers into one big pile then subtract it from 20 to get your answer.

Answer:

The answer is −5  7 /8 . Look at the image for explanation:

Answer:

Step-by-step explanation:

First, you have to solve it with parenthesis, where the answer is one, then multiply them by 6= 6. The answer is 4.

Answer:

l think the problem of the is your work is not of the number l got.

x=2

Answer:

1, 2, 4

Step-by-step explanation:

(Note: Division of big numbers should be done by simplification, although not shown here.)

Answer:

it is not a function because there are two different packages available for $180.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sky High $50 = 10 people so on $5 each person

Jump it up $70 fee then $2 per person

90 for 10 people at jump it up

100 for 15 people at jump it up

75 for 15 at sky high

110 for 20 people at jump it up

100 for 20 at sky high

118 for 24 people at jump it up

120 for 24 people at sky high

the minimum number of friends for it to be cheaper at jump it up is 24 friends since it would be $118 compared to $120 at sky high

the set up fee of 70 then 2 per friend compared to 50 for 10 to start then 5 each makes it come down to 24 friends in all for jump it up to be cheaper minimum anything lower sky high is cheaper

Answer:

\(\displaystyle {y^4}\)

Step-by-step explanation:

The GCF of a set of numbers is the biggest divider that will divide all the numbers without leaving a remainder
As an example, the GCF of 4, 8 and 20 is 4, for 3, 4 and 5 it is 1 since there is no common factor

\(\textrm {We have the three numbers as }\) \(y^4, y^5 \;and\; y^{10}\)

Which of these numbers will divide into each of these without leaving a remainder?

\(\mathrm{The \:exponent\:rule}:\quad \dfrac{x^a}{x^b}=x^{a-b}\)

This means the smallest exponent value \(y^4\) will be the GCF because
\(\dfrac{y^4}{y^4} = 1\\\\\dfrac{y^5}{y^4} = y^{5-4}} = y^1\\\\\dfrac{y^10}{y^4} = y^{10-4}} = y^6\\\\\\\)

So the general rule for finding the GCF of \(y^a, y^b \;and\; y^c is\\\\\mathrm {\;Choose\; the\; one \;with \;the \;lowest \;exponent \;value \;among \;exponents\; a, \;b \;and\; c}\)

Answer:

Step-by-step explanation:

Answer:

I think it it c but I am not sure

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Because it is a small part of the people, and It is selected by chance. I hope it's correct.

Answer: D 32

Step-by-step explanation:

Answer:

(n-2)2 is in the formula (a-b)2 = a2- 2ab + b2

correct it by writing (n-2)2 = (n2 - 2(n)(2) + 2 raise 2)

Answer:

-2 * -2 = 4, but Maryam put -4 instead.