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ICE Princess25 [194]
3 years ago
14

1+1 need help too du(mb

Mathematics
1 answer:
makkiz [27]3 years ago
8 0
2 YES CHILEEEEEEE Chile chicle Chile choemmdkemsndnsjjsjsksksksks
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Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18
enot [183]

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y  = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x  = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6  = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

8 0
3 years ago
34. Lora is thinking of a number. It is less than 50 It is a 2-digit number. 3 is a factor of this number. The sum of its digits
-Dominant- [34]

Answer:

B

Step-by-step explanation:

The number is between 10 and 49

The number is divisible by 3

Let the 10s digit = x

Let the units digit = y

1/3 * (10x + y)  = x + y          multiply both sides by 3

10x + y = 3(x +y)                  remove the brackets.

10x +y = 3x + 3y                  Subtract 3x from both sides

10x - 3x + y = 3y                  Combine\

7x + y = 3y                           Subtract y from both sides.

7x = 3y - y                           Combine

7x = 2y

x can't be very big. Even taking 1/3 will get out of range is you use 6.

Also x should be an even number. The units digit cannot have a fraction in it.

Try making x = 2

7*2 = 2*y

14 = 2y                                Divide by 2

14/2 = y

y = 7

So the number is possibly 27. Let's check it out.

  • The number is between and includes 10 and 49. 27 is between these two endpoints.
  • 27 is divisible by 3
  • 1/3(27) = sum of digits
  • 9 = (2 + 7)

All of the conditions are met. It's B

8 0
2 years ago
What is the equation of a circle with center 8,6 and radius 5
WINSTONCH [101]
(x - 8)² + (y - 6)² = 5²
(x - 8)² + (y - 6)² = 25  ← answer
6 0
3 years ago
Read 2 more answers
James Harmon pays $850.80 per year for his life insurance. If Mr. Harmon were to pay the premiums monthly, the payments would be
Deffense [45]

Answer:

8.0%

Step-by-step explanation:

We have been given that James Harmon pays $850.80 per year for his life insurance. If Mr. Harmon were to pay the premiums monthly, the payments would be $76.57.

First of all, we will find the amount paid for the year using the monthly rate by multiplying $76.57 by 12 (1 year = 12 months).

\text{Amount paid for the year using the monthly rate}=\$76.57\times 12

\text{Amount paid for the year using the monthly rate}=\$918.84

Now, we will use percent change formula.

\text{Percent change}=\frac{\text{Final value}-\text{Initial value}}{\text{Initial value}}\times 100

\text{Percent change}=\frac{\$918.84-\$850.80}{\$850.80}\times 100

\text{Percent change}=\frac{\$68.04}{\$850.80}\times 100

\text{Percent change}=0.0799717912552891\times 100

\text{Percent change}=7.99717912552891\%

\text{Percent change}\approx 8.0\%

Therefore, Mr. Harmon is paying 8.0% more for the year using the monthly rate.

3 0
3 years ago
which of the following would be a good name for the function that takes the weight of a box and returns the energy needed to lif
iVinArrow [24]

Answer:Energy (weight)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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