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3 years ago

Hurry please!

Mathematics

1 answer:

DiKsa [7]3 years ago

4 0

Answer:

$\frac{6}{5}$

Step-by-step explanation:

*Perpendicular lines have negative reciprocals slopes*

First, find the slope-intercept form of 5x + 6y = -54:

5x + 6y = -54

-5x -5x

6y = -5x - 54

/6 /6

y = $-\frac{5}{6}x$ - 9

y = mx + b

So, the reciprocal slope of m = $-\frac{5}{6}$ is m = $\frac{6}{5}$

Hope this helps!

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Ann's watch runs 2 minutes per hour too slow. Beth's watch runs 1 minute per hour too fast. For example, if both watches were co

Elenna [48]

Answer:

8 am Monday

Step-by-step explanation:

The difference between the two watches is 2+1= 3 minutes.

It would take 60/3 = 20 hours to have a difference of 60 minutes.

From noon Sunday it would be more 20 hours the earliest time there would be a difference of one hour between the two watches' time.

12 noon + 20 hours= 8 am Monday

7 0

3 years ago

An actor invests some money at 8% simple interest, and $21 comma 000 more than four times the amount at 10% simple interest.

Dennis_Churaev [7]

Answer:

First investment = $98000

Second = $413,000

Step-by-step explanation:

Given the following :

Investment 1:

Let first investment = f

Rate = 8% = 0.08

Investment 2:

$21,000 more than 4 times of investment 1:

4f + 21000

Rate = 10% = 0.1

Total annual interest earned from both :

$49,140

Interest on investment 1 + interest on investment 2 = $49,140

To solve:

Simple Interest = principal * rate * time

Time = 1 year

Total interest = (f * 0.08 * 1) + ((4f + 21000) * 0.1 * 1)

49140 = 0.08f + 0.4f + 2100

0.48f = 47040

f = 47040 / 0.48

f = 98000 = first investment

Second investment :

4f + 21000

= 4(98000) + 21000

= $413,000

3 0

4 years ago

Integral Calculation

Tatiana [17]

Answer:

$\frac{4}{3(e^2+1)}$

Step-by-step explanation:

We want to evaluate:

$\int\limits^1_{-1} {\frac{x^2+1}{e^2+1} } \, dx$

This is the same as:

$\frac{2}{e^2+1} \int\limits^1_{0} {x^2+1} \, dx$

We integrate to obtain:

$\frac{2}{e^2+1} (\frac{x^3}{3}+x)|_0^1$

We evaluate to obtain:

$\frac{2}{e^2+1} (\frac{1^3}{3}+1)=\frac{4}{3(e^2+1)}$

8 0

3 years ago

I need help on this it is due thursday and im so close to finishing

Darina [25.2K]

Answer:

B is the answer

Step-by-step explanation:

Don't second guess it was right :)

6 0

2 years ago

The perimeter of a playing card is 34 centimeters. It is 10 centimeters tall. How wide is it

mamaluj [8]

Answer:7

Step-by-step explanation: 10 +10 +x+x=34

20+2x= 34

-20 20

2x=14 x=7

8 0

3 years ago

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