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3 years ago

The lines shown below are perpendicular. If the green line has a slope of

Mathematics

2 answers:

elena-14-01-66 [18.8K]3 years ago

6 0

Answer: A. 9

Step-by-step explanation:

Given: The red line and the green line are perpendicular to each other.

The slope of green line = $\dfrac{-1}{9}$

We know that the product of slopes of two perpendicular line is -1.

Let m be the slope of red line ], then we have

$\dfrac{-1}{9}\times m=-1\\\\\Rightarrow\ m=\dfrac{9}{1}=9$

Hence, the slope of the red line = 9.

DedPeter [7]3 years ago

3 0

The opposite reciprocal of -1/9 is 9
So the answer is A

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A multi level parking lot has 6 levels and there are total of 1,327 parking spots.

MrRissso [65]

Answer: (1) There are 233 parking spots on the top level

(2) There are 72 parking spots reserved for drivers with disabilities

(3) There are 970 spots for hourly parking

(4) He would spend $7200 for parking in a year

Step-by-step explanation: In the first instance, there is a total of 1327 parking spots altogether allocated into various categories.

(1) There are 6 levels in all, and the first level has 162 parking spots. herefore the remaining 5 levels would have 1165 parking spots left as shown below;

Remainder = 1327 - 162

Remainder = 1165

If however the remaining 1165 parking spots are distributed equally among the other 5 levels, then each level would have 233 parking spots each as shown below;

Five levels = 1165

Each level = 1165/5

Each level = 233

Therefore the top level has 233 parking spots

(2) On each level (out of all 6 levels), there are 12 spots reserved for drivers with disability. Therefore at all parking levels you would have 72 spots as shown;

Reserved spot per level = 12

Reserved spot for 6 levels = 12 * 6

Reserved spot for 6 levels = 72

Therefore there are 72 spots reserved for driver with disability

(3) Other than the spots reserved for drivers with disability (72), there are 285 parking spots for monthly rental. The rest are for hourly parking, and this is calculated as shown;

Hourly parking + monthly rental + reserved parking = 1327

Hourly parking + 285 + 72 = 1327

Hourly parking + 357 = 1327

Hourly parking = 1327 - 357

Hourly parking = 970

Therefore there are 970 spots available for hourly parking.

(4) If the daily parking rate is $30, and Jack parks his car for 5 days in a week, then he would spend

30 * 5 = 150

If he parks for 4 weeks in a month, then he would spend

150 * 4 = 600

Therefore to pay for parking in a year (12 months) he would spend

600 * 12 = 7200

Therefore he would spend $7,200 for parking in a year

4 0

3 years ago

One way to find a common denominator is by

Lena [83]

Answer:

Step-by-step explanation:

a). $1\frac{3}{5}=1+\frac{3}{5}$

$=1+\frac{3}{5}\times \frac{4}{4}$

$=1+\frac{12}{20}$

$=1\frac{12}{20}$

$1\frac{3}{4}=1+\frac{3}{4}$

$=1+\frac{3}{4}\times \frac{5}{5}$

$=1+\frac{15}{20}$

$=1\frac{15}{20}$

Therefore, common denominator of 20.

b). $2\frac{1}{2}=2+\frac{1}{2}$

$=2+\frac{1}{2}\times \frac{5}{5}$

$=2+\frac{5}{10}$

$=2\frac{5}{10}$

$\frac{4}{5}=\frac{4}{5}\times \frac{2}{2}$

$=\frac{8}{10}$

Common denominator of 10.

c). $\frac{3}{8}=\frac{3}{8}\times \frac{6}{6}$

= $\frac{18}{48}$

$\frac{1}{6}=\frac{1}{6}\times \frac{8}{8}$

= $\frac{8}{48}$

Common denominator of 48.

3 0

3 years ago

Edward deposited $9,000 into a savings account 2 years ago. The simple interest rate is 4% How

BARSIC [14]

Answer:

$734.40

Step-by-step explanation:

y=9,000(1.04)^t is our equation for this.

The 9,000 is the starting amount.

1.04 is the 4% since 4% is 4/100 which equals 0.04, then we add 1 to that since it's increasing in value.

y represents our output.

t represents time (in years for this equation)

Since they give us the amount of years since he deposited the $9,000, we put the number they gave us (2 years) into the equation, replacing t.

y=9,000(1.04)^2

Put the right side into a calculator and it gives you 9734.4.

That's the total amount he has now, so to find how much he earned we subtract the starting amount (9000).

734.4.

Edward earned $734.40.

3 0

3 years ago

Question is in the image

pshichka [43]

Answer:

(x +3)^2 + (y -3)^2 = 3^2

Step-by-step explanation:

Your first task is to find the center.

The longest possible line of the circle goes from (-3,0) to (-3,6)

So the center is at the midpoint of these two points.

The midpoint is at (-3 - 3)/2 , (6+ 0)/2 or (-3,3)

That gives you the center of the circle.

So far what you have is

(x +3)^2 + (y -3)^2 = r^2

Now the distance of the center to the bottom point is (-3,3) to (-3,0)

r^2 = (x2 - x1)^2 + (y2 - y1)^2

x2 = - 3

x1 = - 3

y2 = 3

y1 = 0

r^2 = (-3 - -3)^2 + (3 - 0)^2

r^2 = 3^2

The entire answer is

(x +3)^2 + (y -3)^2 = 3^2

8 0

3 years ago

6. Jesse roasted 12 marshmallows in 4 minutes. How many marshmallows could she roast in 7 minutes?

just olya [345]

Answer: 21

Step-by-step explanation: 12 in 4 minutes means every minute 3 marshmallows are roasted, 4x3=12, so add three more minutes and you get 21. 7x3=21

6 0

2 years ago

Read 2 more answers