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2 years ago

Determine the slope of the line 5x − 3y − 12 = 0.

Mathematics

1 answer:

givi [52]2 years ago

6 0

Answer:

slope of a line is given by -A/B

Here A=5 and B= -3

so , when we plug in the values: -(5/-3) = 5/3

five thirds lol.

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¿Cuántas soluciones tiene la ecuación 2 + 6 (x - 4) = 3x - 18 + 3x?

Elena-2011 [213]

Answer:

x is undefined

Step-by-step explanation:

2 + 6(x - 4) = 3x - 18 + 3x

Open the bracket

2 + 6x - 24 = 3x - 18 + 3x

collect the like terms

6x -3x - 3x = -18 +24 - 2

0x = 4

x = 4/0

x is undefined

3 0

2 years ago

the perimeter of a basketball court is 102 meters, and length is 6 meters longer than twice the width, what r length and width.

stepladder [879]

Perimeter = 2(l + w)

Thus,

102 = 2(l + w)

l = 6 + 2w

102 = 2( 6 + 2w + w)
102 = 12 + 4w +2 w
102 = 12 + 6w
90 = 6w

Thus, w = 15.

Length = 6 + 2w
= 6 + 30
= 36.

Thus, the length is 36 meters and width is 15 meters.

7 0

2 years ago

During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by

Alja [10]

Answer:

The numbers of measure of music played are 1 and 7

Step-by-step explanation:

Given

$s = 10|x - 4| + 50$

Required

Solve for x when s = 80

Substitute 80 for x

$80 = 10|x - 4| + 50$

Subtract 50 from both sides

$80 - 50= 10|x - 4| + 50 - 50$

$30= 10|x - 4|$

Divide through by 10

$\frac{30}{10}= \frac{10|x - 4| }{10}$

$3= |x - 4|$

Reorder

$|x - 4| = 3$

This can be split into

$x - 4 = 3$ or $x - 4 = -3$

Solve for x

$x = 4 + 3$ or $x = 4 - 3$

$x = 7$ or $x = 1$

Hence:

<em>The numbers of measure of music played are 1 and 7</em>

4 0

2 years ago

In J, K is the midpoint. The coordinates of ) are (2, 2), and the coordinates of Kare (10, 11). What are the coordinates of L?

DiKsa [7]

Answer:

L(18, 20)

Step-by-step explanation:

In JL, K is the midpoint. The coordinates of J are (2, 2), and the

coordinates of K are (10, 11). What are the coordinates of L?

Solution:

If O(x, y) is the midpoint between two points A( $x_1,y_1$ ) and B( $x_2,y_2$ ). The equation to determine the location of O is given by:

$x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}$

Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let ( $x_2,y_2$ ) be the coordinate of L. Therefore:

$10=\frac{2+x_2}{2} \\\\20=2+x_2\\\\x_2=18$