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3 years ago

Four times the larger of two consecutive even integers is ten less than the smaller. What is the larger of these two numbers?

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

Answer:

-4 is the larger integer

Step-by-step explanation:

n = smaller integer

n + 2 = larger integer

4(n+2) = n-10

4n + 8 = n - 10

3n + 8 = -10

3n = -18

n = -6

n+2 = -4

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7. Write the equation of a line which passes through the points (-3,5) and (6,23)

faust18 [17]

Answer:

answer to the equation is

$y = 2x + 11$

Step-by-step explanation:

$y = mx + b$

first find the slope of the line using the two points

$slope \: m = \frac{y2 - y1}{x2 - x1} = \frac{23 - 5}{6 - ( - 3)} \\ = \frac{18}{9} \\ slope \: m = 2$

substitute 2 for m and use one of the points for x and y and solve for b

$5 = 2( - 3) + b \\ 5 = - 6 + b \\ 5 + 6 = b \\ b = 11$

Now that you found b, the y-intercept, you can substitute that into the equation for your line

$y = 2x + 11$

7 0

2 years ago

One leg of a 45°-45°-90° triangle measures inches. What is the length of the hypotenuse?

Alika [10]

Answer:

each leg of the right triangle = 12√2

Step-by-step explanation:

6 0

3 years ago

The equations of three lines are given below. Line 1: =3y+−2x7 Line 2: =y−−23x4 Line 3: =+4x6y−6

valkas [14]

I don't understand what you want solved for here...could you please tell me?

6 0

3 years ago

7 freshmen, 9 sophomores, 8 juniors, and 8 seniors are eligible to be on a committee.

Setler79 [48]

Answer:

i)32C16

ii)1185408

Explanation:

i)Total number of selected/eligible is 7+9+8+8=32

Total ways of selecting dance committee of 16 is

32C16

ii)Total ways of selecting 3 seniors from 8 is 8C3

and Total ways of selecting 6 juniors from 8 is 8C6

ways of selecting 2 sopho from 9 is 9C2

ways of selecting 5 freshman from 7 is 7C5

now, total way of selection come to be

8C3×8C6×9C2×7C5

=56×28×36×21

=1185408

✌️

6 0

3 years ago

An object that weighs 5 pounds on earth will weigh 2 pounds on mercury. The Statue of Liberty weighs 2,250 pounds. What would it

murzikaleks [220]

2/5=x/2250

2250x2=4500

4500/5=900 pounds

7 0

3 years ago

Read 2 more answers