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2 years ago

What is the slope of a line perpendicular to the line whose equation is 18x+3y=81 Fully simplify your answer.

Mathematics

2 answers:

S_A_V [24]2 years ago

7 0

Answer: m = $\frac{1}{6}$

Step-by-step explanation:

Find the slope of the line that is perpendicular to 18x + 3y = 81 :: m = 1/6

klasskru [66]2 years ago

3 0

Answer:

slope = $\frac{1}{6}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

18x + 3y = 81 ( subtract 18x from both sides )

3y = - 18x + 81 ( divide the terms by 3 )

y = - 6x + 27 ← in slope- intercept form

with slope m = - 6

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-6}$ = $\frac{1}{6}$

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One employee pours 6 ounces of coffee in the large frappuccino.

Reil [10]

Answer:

The employee's action is not following the instructions.

Step-by-step explanation:

The drinks table has some recommendations to make some drinks exclusive to the establishment such as the Large Frapuccino or the Small Chai Tea, which in its first line corresponding to the Large Frapuccino specifies that at least 8 ounces of coffee should be used, which it wants to say is the minimum amount of coffee that can be added to it is 8 ounces, and the value could be higher than that, but never lower, which is why by adding only 6 ounces to the Frapuccino you are totally ignoring the instructions.

8 0

3 years ago

You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed

k0ka [10]

Answer:

625 ft^2

Step-by-step explanation:

Given

$P = 100$ --- perimeter

Required

The largest area

The perimeter is calculated as:

$P = 2 * ( L + W)$

So, we have:

$2 * ( L + W) = 100$

Divide both sides by 2

$L + W = 50$

Make L the subject

$L = 50 - W$

The area is calculated as:

$A= L * W$

Substitute $L = 50 - W$

$A= (50 - W) * W$

Open bracket

$A = 50W - W^2$

Differentiate with respect to W

$A' = 50 -2W$

Set to 0; to get the maximum value of W

$50 - 2W = 0$

Collect like terms

$-2W = -50$

Divide by -2

$W = 25$

So, the maximum area is:

$A = 50W - W^2$

$A = 50 * 25 - 25^2$

$A = 1250 - 625$

$A = 625$

3 0

3 years ago

3) Determne the largest multiple of 9 less than 200

BaLLatris [955]

Answer:

i think 22

Step-by-step explanation:

9*22=198

8 0

3 years ago

Evaluate for x and y 4x-6y=-26 -2x+3y-13

kap26 [50]

Answer:

(x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb R

Step-by-step explanation:

4x-6y=-26

-2x+3y-13

4x-6y=-26

x=-13/2+3/2y

4(-13/2+3/2y) - 6y=-26

y in mathbb R

x, y) = (- 13/2 + 3/2 * y, y) ,y in mathbb

5 0

1 year ago

Add using the number line. −0.5 + (−1.7)

Rudik [331]

Answer:

- 0.5 - 1.7 = - 2.2

Step-by-step explanation:

We need to add two numbers using the number line.

Steps to Add Numbers on the Number Line:

When we add a negative numbers that we move the point to the left of the number line.

We are adding two negative numbers. Locate the first number which is -0.5. Then, add negative 1.7 to it which means moving the existing point 1.7 units to the left of the number line.

So, we get 2.2 on the left.

2.2 is left side it means sign is negative.

Final answer is -2.2

3 0

3 years ago