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3 years ago

Which of these ordered pairs is a solution to the inequality y - 2x < -3

Mathematics

1 answer:

gregori [183]3 years ago

7 0

Answer: 2 >

Step-by-step explanation:

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1. Given line segment RB and on it is point C, if RB = 45 and CB = 3x - 12 and RC = 2x + 9, what is the value of x?

marshall27 [118]

Answer:

Step-by-step explanation:

1). If a point C is lying on a line segment RB,

Then RB = RC + CB

Since, RB = 45, CB = 3x - 12 and RC = 2x + 9

45 = (2x + 9) + (3x - 12)

45 = (2x + 3x) - 3

48 = 5x

x = $\frac{48}{5}$

x = 9.6

2). Since, RC = 2x + 9

RC = 2(9.6) + 9

= 19.2 + 9

= 28.2 units

3). Distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between the points A(2, -2) and D(-2, 2) will be,

$AD=\sqrt{(2+2)^2+(-2-2)^2}$

= $\sqrt{16+16}$

= $4\sqrt{2}$

= 5.657

≈ 5.66 units

7 0

3 years ago

Make x the subject. help please

valkas [14]

Answer:

$\sf x = \dfrac{n - 2mp}{2m}$

Step-by-step explanation:

$\sf 3m = m + \dfrac{n}{p + x}\\$

$\sf 3m - m = \dfrac{n}{p +x}$

$\sf 2m = \dfrac{n}{p +x}$

Now cross multiply,

2m*(p +x) = n

To open the parenthesis, multiply 2m by p and x.

2mp + 2mx = n

Isolate the term with variable 'x'

2mx = n - 2mp

Now, isolate 'x', by dividing both sides by 2m

$\sf x = \dfrac{n-2mp}{2m}$

4 0

2 years ago

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Which is equivalent to 3(x-4)-3(2x-7)=23

adelina 88 [10]

Answer:

x= $-\frac{14}{3}$

Step-by-step explanation:

3x-12-6x+21=23

-3x+9=23

-3x=14

x= $-\frac{14}{3}$

4 0

2 years ago

The area of a rectangle is 15 square inches. What wil be the area, in square inches, of the rectangle after it is dilated by a

Alex73 [517]

Answer:

60 inches²

Step-by-step explanation:

Unit test

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3 years ago

Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.

Genrish500 [490]

Answer:

Option C.

Step-by-step explanation:

6 0

3 years ago

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