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Arisa [49]
2 years ago
10

Can someone please give me the (Answers) to this? ... please ... I need help….

Mathematics
1 answer:
lesya692 [45]2 years ago
8 0

Answer:

above is the answer to the question, second picture for clear view

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Write an equation in standard form of the line that contains the point (-2,4) and is parallel to (has the same slope as) the lin
CaHeK987 [17]

Answer:

The equation of the line in standard form is -8x + y = 20

Step-by-step explanation:

The standard form of the linear equation is Ax + By = C, where

  • A, B, and C are integers

The slope-intercept form of the linear equation is y = m x + b, where

  • m is the slope
  • b is the y-intercept

Parallel lines have equal slopes

∵ The line is parallel to the line y = 8x - 2

→ Compare it with the slope-intercept form above

∴ m = 8

∵ The parallel lines have the same slopes

∴ The slope of the line = 8

→ Substitute it in the slope-intercept form above

∴ y = 8x + b

∵ The line passes through the point (-2, 4)

∴ x = -2 and y = 4

→ Substitute x by -2 and y by 4 in the equation to find b

∵ 4 = 8(-2) + b

∴ 4 = -16 + b

→ Add 16 to both sides

∴ 4 + 16 = -16 + 16 + b

∴ 20 = b

→ Substitute the value of b in the equation above

∴ y = 8x + 20

→ Subtract both sides by 8x

∵ y - 8x = 8x - 8x + 20

∴ y - 8x = 20

→ Switch x and y

∴ -8x + y = 20

∴ The equation of the line in standard form is -8x + y = 20

8 0
3 years ago
If A(−2, 1), B(1, 5), C(4, 4), and D(1, 0) are the vertices of a quadrilateral, do the points form a parallelogram? Justify your
Alexandra [31]
<span>Yes, it is a parallelogram because the slope of segment AB equals the slope of segment DC, which equals negative start fraction four over three end fraction, and AD = BC = 10 units.</span>
5 0
3 years ago
PQ is rotated 180 degrees clockwise about P. What are the coordinates of P' and Q'?
Salsk061 [2.6K]

The co ordinates of P' is (-7,-2) and Q' is (-16, -8)

<u><em>Explanation</em></u>

PQ is rotated 180 degrees clockwise about P. It means <u>P and P' are the same points</u>.

According to the graph, the coordinates of P is (-7, -2) and  Q is (2, 4)

When PQ is rotated 180 degrees clockwise about P, then <u>P or P' will be the mid-point of Q and Q' </u>

Suppose, the co ordinate of Q' is (x, y)

Now according to the mid-point formula, the coordinate of P or P' will be: (\frac{x+2}{2},\frac{y+4}{2}) , which is actually at (-7, -2)

Thus.....

\frac{x+2}{2}=-7\\ \\ x+2=-14\\ \\ x= -16\\ \\ and\\ \\ \frac{y+4}{2}= -2\\ \\ y+4= -4\\ \\ y= -8

So, the co ordinates of P' is (-7,-2) and Q' is (-16, -8)

6 0
2 years ago
GETS BRAINLIEST
bija089 [108]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
you want to earn $100,000 in your company. your initial earnings for the year started at zero, and your artists music earns you
Setler79 [48]

simply divide the 100,000 by the 1.50 to get the outcome of total streams needed. you would need 66,667 streams in total

8 0
3 years ago
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