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krok68 [10]
3 years ago
11

The distance between the paralled lines 3x + 4y +15 = 0 and 3x + 4y -10 = 0 is equal to: pls help ASAP

Mathematics
1 answer:
Delvig [45]3 years ago
6 0

Answer:

5 units

Step-by-step explanation:

Please see attached pictures for the full solution.

(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)

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During two years, the population of birds of an island became 7 times more than before. If the first year increase in the popula
nordsb [41]

Answer:

The percent increase of the second year is 400%.

Step-by-step explanation:

Consider the provided information.

Let the population of birds was x.

After 2 years the population becomes 7 times more than before.

Therefore, after 2 years population is 7x.

In first year increase in the population was 40%.

Population after 1st year = x + 40% of x

Population after 1st year = x + 0.40x

Population after 1st year = 1.4x

The population increase from 1st year to 2nd year is: 7x-1.4x=5.6x

Thus the percentage increase is:

\% increase=\frac{5.6x}{1.4x}\times100=400\%

Hence, in second year the population of birds increase by 400%.

6 0
3 years ago
ABCD is a rectangle ,its diagonals meet at O.If AO = 5x+1 and BO = 4x+9,find the length of the diagonals .(lengths in cm).
Sergeu [11.5K]

Answer:

82 cm

Step-by-step explanation:

In rectangles diagonals are equal and bisect each other

AO = BO

5x + 1 = 4x + 9

Subtract 1 from  both sides

5x  = 4x + 9 -1

5x = 4x + 8

Subtract 4x from both the sides

5x - 4x = 8

x = 8

AO = 5x + 1

     = 5*8  +1

     = 40 + 1

AO= 41 cm

Diagonal = 2*41 = 82 cm

7 0
3 years ago
Help this is due today!!!
kompoz [17]

Answer:

Hello!!

What is the value of m?

0.61m-1.51m=9

m=-10

Step-by-step explanation:

Isolate the variable by dividing each side by factors that do not contain the variable

Hope this helps!!

6 0
2 years ago
Read 2 more answers
A company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40
Kisachek [45]

It's 100

Because You multiply the sample proportion to 2000

6 0
3 years ago
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Find the area of the irregular figure. I don’t know this I need help.
Shkiper50 [21]

Answer:

11 in.²

Step-by-step explanation:

you can divide the shape into 2 rectangles and then you solve for the 2 rectangles and then you add them up.

4 0
3 years ago
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