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ruslelena [56]
2 years ago
5

Given that

Mathematics
1 answer:
Sophie [7]2 years ago
6 0

Answer:

  • P = 22

Step-by-step explanation:

<u>We know that:</u>

  • P = 7x + 20 − 2y
  • x = 2
  • y = 6

<u>Work:</u>

  • P = 7x + 20 − 2y

<u>Substituting the given values</u>

  • P = 7(2) + 20 − 2(6)

<u>Solving</u>

  • => P = 14 + 20 - 12
  • => P = 22

Hence, the value of P is 22.

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Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing th
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Answer:

The steps to construct a a line parallel to another line from a point includes

1) From the given line draw a transversal through the point

2) With the compass, copy the angle formed between the transversal and the given line to the point P

3) Draw a line through the intersection of the arcs of the angle construction to get the parallel line through the point P

Step-by-step explanation:

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Solve each system by substitution. -5x + 3y = 3 and -4x + y = 1
taurus [48]

\left\{\begin{array}{ccc}-5x+3y=3\\-4x+y=1&|\text{add 4x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}-5x+3y=3\\y=4x+1&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to the first equation}\\\\-5x+3(4x+1)=3\qquad\text{use distributive property}\\\\-5x+(3)(4x)+(3)(1)=3\\\\-5x+12x+3=3\qquad\text{subtract 3 from both sides}\\\\7x=0\qquad\text{divide both sides by (-5)}\\\\\boxed{x=0}\\\\\text{Substitute the value of x to}\ (*):\\\\y=4(0)+1\\y=0+1\\\boxed{y=1}\\\\Answer:\ x=0\ and\ y=1.

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3 years ago
Find the distance between the points with polar coordinates (3, 120°) and (0.5, 49°)
nikklg [1K]
X 1 = 3 * cos 120° = - 3 cos 60° = - 3/2 = - 1.5
y 1 = 3 * sin 120° = 3 sin 60° = 3√3 / 2 = 2.598
x 2 = 0.5 * cos 49° = 0.328
y 2 = 0.5 * sin 49° = 0.37735479
--------------------------------------------
d = [( x 2 - x 1 )² + ( y 2 - y 1 )²]^(1/2)
d = [ ( 0.328 + 1.5 )² + ( 0.37735479 - 2.598) ] ^(1/2)
d = ( 3.341584 +4.931265 )^(1/2)
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d = 2.876256
 
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