Determine the slope of the line 3x − 5y − 6 = 0. <br> a)-5/6<br> b)-1/4<br> c)3/5<br> d)3

Which equation has a graph that is perpendicular to the graph of -x + 6y = -12?

serious [3.7K]

Answer:

c) 6x + y = -52 is required equation perpendicular to the given equation.

Step-by-step explanation:

If the equation is of the form : y = mx + C.

Here m = slope of the equation.

Two equations are said to be perpendicular if the product of their respective slopes is -1.

Here, equation 1 : -x + 6y = -12

or, 6y = -12 + x

or, y = (x/6) - 2

⇒Slope of line 1 = (1/6)

Now, for equation 2 to be perpendicular:

Check for each equation:

a. x + 6y = -67 ⇒ 6y = -67 - x

or, y = (-x/6) - (67/6) ⇒Slope of line 2 = (-1/6)

but $\frac{1}{6} \times \frac{-1}{6} \neq -1$

b. x - 6y = -52 ⇒ -6y = -52 - x

or, y = (x/6) + (52/6) ⇒Slope of line 2 = (1/6)

but $\frac{1}{6} \times \frac{1}{6} \neq -1$

c. 6x + y = -52

or, y =y = -52 - 6x ⇒Slope of line 2 = (-6)

$\frac{1}{6} \times (-6) = -1$

Hence, 6x + y = -52 is required equation 2.

d. 6x - y = 52 ⇒ -y = 52 - 6x

or, y = 6x - 52 ⇒Slope of line 2 = (6)

but $\frac{1}{6} \times 6 \neq -1$

Hence, 6x + y = -52 is the only required equation .

3 0

3 years ago

Read 2 more answers

What is the quotient of 4 1/4 / 2 1/5

Snezhnost [94]

The quotient for the given mixed fraction is 1.9318

Step-by-step explanation:

Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction $4\frac{1}{4}$ we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get $\frac{17}{4}$ . Similarly, we get the improper fraction $\frac{11}{5}$ for converting the mixed fraction $2\frac{1}{5}$ .

Step 2; After conversion, it's just a matter of division. The fraction $\frac{17}{4}$ equals 4.25 while the denominator $\frac{11}{5}$ equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.

5 0

3 years ago

A store has clearance items that have been marked down by 60% they having a sale, advertising an additional 30% off clearance it

bagirrra123 [75]

The original price is 100% of the price. If the price is marked 60% off, then you pay 40% of the original price.

An item costs x dollars.

With the 60% off discount, it now costs 40% of x, or 0.4x.

Now you apply a 30% discount.

For the second discount, consider the price 0.4x to be the new original price. If the price is now discounted 30%, you will pay 70% of the new original price.

Start with 0.4x.

Now calculate 70% of 0.4x.

70% of 0.4x = 0.70 * 0.4x = 0.28x

After applying the 60% discount and the 30% discount, the item that originally cost x now costs 0.28x. 0.28x is the same as 28% of x. The amount you pay is 28% of the original price.

Answer: 28%

3 0

3 years ago

I need help help me please and no links please or I will report you

quester [9]

Answer:

Length: 11 meters

Width: 8 meters

Step-by-step explanation:

11 + 11 + 8 + 8 = 38

8 + 8 = 16

16 - 11 = 5

3 0

2 years ago

What is the difference between (-5,-5)and (-9,2)

Alecsey [184]

Answer:

Well if you see the graph (-5, -5) is a total negative number that is in the 3 quadrant.

As for (-9,2) it goes to negative to positive.

Look at the graph and you will understand any questions ask me

hope this helps ☺

6 0

3 years ago

Read 2 more answers

Determine the slope of the line 3x − 5y − 6 = 0. a)-5/6 b)-1/4 c)3/5 d)3