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Lera25 [3.4K]
3 years ago
14

What is the distance from the origin to point A graphed on the complex plane below?

Mathematics
1 answer:
Kobotan [32]3 years ago
5 0

Answer:

√13

Step-by-step explanation:

(-3, -2) (0, 0)

distance √(9 + 4) = √13

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Hallar la ecuación de la recta que pasa por el punto P(-3,-1) y por el punto de intersección de las rectas 2x − y = 9 y 3x − 7y
adell [148]

Answer:

y = -1

Step-by-step explanation:

The standard form of equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19

Make y the subject of the formula in both expressions

For 2x  - y = 9

- y = 9- 2x

y = 2x - 9

Similarly for 3x - 7y = 19

-7y = 19 - 3x

7y = 3x - 19

y = 3/7 x - 19/7

Equating both expressions

2x - 9 = 3/7 x - 19/7

Multiply through ny 7

14x - 63 = 3x - 19

14x - 3x = -19 + 63

11x = 44

x = 44/11

x = 4

Since y =2x - 9

y = 2(4) - 9

y = 8-9

y = -1

Hence the coordinate of intersection is at (4, -1)

Get the equation of the line passing through (-3, -1) and (4, -1)

Slope m = -1+1/4+3

m = 0/7

m = 0

Get the intercept

Substitute m = 0 and (-3, -1) into y = mx+b

-1 = 0(-3) + b

-1 = b

b = -1

Get the required equation

Recall that y = mx + b

y = 0x + (-1)

y = -1

Hence the required equation is y = -1

4 0
3 years ago
A new skateboard cost $150. You have a 30% off coupon how much money did you save with your coupon?
insens350 [35]
150 x .30 = 45

You saved $45 if you use the coupon for the skateboard
5 0
4 years ago
Which of the following statements is true?
mariarad [96]

Answer:

Sedimentary rocks usually form in visible layers

Step-by-step explanation:

A is wrong because not all igneous rock is formed by pressure

B is wrong because sedimentary rock is usually a surface rock

C is wrong because the rock cycle is sporadic and doesn't always end in igneous rock

D is correct because sedimentary rock is formed from years and years of sediment layering on top of each other

8 0
3 years ago
Read 2 more answers
Choose the function whose graph is given by:
wolverine [178]

<em>Greetings from Brasil...</em>

In a trigonometric function

F(X) = ±UD ± A.COS(Px + LR)

UD - move the graph to Up or Down (+ = up | - = down)

A - amplitude

P - period (period = 2π/P)

LR - move the graph to Left or Right (+ = left | - = right)

So:

A) F(X) = COS(X + 1)

standard cosine graph with 1 unit shift to the left

B) F(X) = COS(X) - 1 = -1 + COS(X)

standard cosine graph with 1 unit down

C) F(X) = COS(X - 1)

standard cosine graph with shift 1 unit to the right

D) F(X) = SEN(X - 1)

standard Sine graph with shift 1 unit to the right

Observing the graph we notice the sine function shifted 1 unit to the right, then

<h3>Option D</h3>

<em>(cosine star the curve in X and Y = zero. sine start the curve in Y = 1)</em>

7 0
3 years ago
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0.54 can it be written as a fraction? and also dose it repeat decimal of care on repeats numbers.
Ostrovityanka [42]
0.54 = fiftyfour hundredths = 54/100 <span />
8 0
3 years ago
Read 2 more answers
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