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dsp73
3 years ago
5

Find the distance between the parallel lines y=3x-1 and y=3x-11. Round

Mathematics
1 answer:
Grace [21]3 years ago
4 0

Answer:

x=1.5  y=-4.5

Step-by-step explanation:

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A clearance rack is marked as 60% off the regular price to be taken at the register. If a jacket on the clearance rack is marked
dezoksy [38]

Answer:

$399.98

Step-by-step explanation:

Given

Mark down percent = 60%

Mark down price = $239.99

Required

Original price of the rack

Let x be the original price of the product. The equation to get x is as expressed below;

60% of x = 239.99

0.6x = 239.99

x = 239.99/0.6

x = 399.98

Hence the rack will ring up for $399.98 at the register

5 0
3 years ago
Write the standard form of the line that passes through the given points. include your work in your final answer. (-1, -3) and (
yan [13]

The standard form of a line passing through the points (-1, -3) and (2, 1) is <u>4x - 3y = 5</u>.

The slope of the given line, m = (1 - (-3))/(2 - (-1)) = (1 + 3)/(2 + 1) = 4/3.

Computed using the formula for the slope of a line, m = (y₂ - y₁)/(x₂ - x₁), when a line passes through the points (x₁, y₁) and (x₂, y₂).

The point intercept form of a line is <u>y - y₁ = m(x - x₁)</u> when the line passes through the point (x₁, y₁) and has the slope m.

Thus, the given line in the point intercept form can be written as:

y - 1 = (4/3)(x - 2).

The standard form of a line is ax + by = c.

To convert the point intercept form to the standard form, we do as follows:

y - 1 = (4/3)(x - 2),

or, 3(y - 1) = 3(4/3)(x - 2) {Multiplying both sides by 3},

or, 3y - 3 = 4x - 8 {Simplifying},

or, 8 - 3 = 4x - 3y {Rearranging},

or, 4x - 3y = 5 {Rearranging and simplifying}.

Thus, the standard form of a line passing through the points (-1, -3) and (2, 1) is <u>4x - 3y = 5</u>.

Learn more about equations of straight lines at

brainly.com/question/13763238

#SPJ4

6 0
2 years ago
Kayla has a bowl of beads that contains 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a
podryga [215]
42 + 28 + 12 + 18 = 100 total beads

probability of not drawing a yellow or a green : (12 + 18) / 100 = 30/100 reduces to 3/10 or 30%

probability of drawing a red or green : (18 + 28) / 100 = 46/100 reduces to
23/50 or 46%


8 0
3 years ago
Read 2 more answers
The chart shows Daniela’s run through her race.
Nutka1998 [239]
So it would be c the
8 0
2 years ago
Jim finished baking cookies at 9:31 AM.
Stels [109]

Answer:

Jim was baking for 4 hrs, 16 mins

Step-by-step explanation:

9:31

-

5:19

=

4:16

3 0
3 years ago
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