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DanielleElmas [232]
3 years ago
5

Absolute value of -1 +3i

Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

Answer:

1+3i

Step-by-step explanation:

i is a variable. -1 has an absolute value of 1. 3i is multiplying i by 3.

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What are the intercepts of the line 2x + 4y = 12?
Darina [25.2K]
<span>if you're finding the x intercept, y is ALWAYS 0, so in this, you can just get rid of the -4y because you know that it's 0, so you're left with 2x=12 divide by 2 on both sides so you find x intercept is (6,0) on the graph 
the y works the same way, if you're looking for the y, you know that the x is zero, so you're left with -4y=12, divide by -4y on both sides and you end up with the y intercept being (0,-3) 

x int.= (6,0) 
y int.= (0,-3) 

by the way, when it's written like that, it's called standard form, so to find the intercepts on 2x=12+4y, you'd have to convert it into standard form (Ax=By=C) so you subtract 4y on both sides to make it 2x-4y=12, and then once you have it like that you can do the math to find the y and x intercepts.
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6 0
2 years ago
Find all real numbers on the interval [0.2 t) that satisfy the equation. Use radian measure.
sergejj [24]

Answer:

  x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}

Step-by-step explanation:

The equation can be put into standard form by adding 1:

  2cos²(x) +3cos(x) +1 = 0

  (2cos(x) +1)(cos(x) +1) = 0

Values of cos(x) that make this true* are ...

  cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3

  cos(x) = -1 . . . . . . . . . . . true for x=π

__

A graphing calculator can be helpful here, too.

_____

* from your knowledge of the short table of trig functions and their signs in different quadrants

3 0
3 years ago
A scale model of a house is 110 the size of the actual house. One of the bedrooms in the house is 16 feet long. Which expression
kenny6666 [7]

Answer:

model measurement = actual measurement / 110

Step-by-step explanation:

(I believe you have a typo in your answer where the scale is 1:110. Hard to believe one would make a model house 110 times the size of a physical house, haha!)

4 0
2 years ago
Identify the vertex of the quadratic function in standard form y=2x^2 -16x+31
lapo4ka [179]

Answer:

(4,1)

Step-by-step explanation:

The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).

To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.

To find the y-coordinate, input the x=4 and solve for y.

y=2(4)^2-16(4)+31\\y=2(16)-64+31\\y=32-64+31\\y=1

The vertex is (4,1).

8 0
3 years ago
Dion went out to lunch. The bill, including tax, was $30. Dion left a tip of $6. What percent of the bill did Dion leave as tip?
KonstantinChe [14]
The percentage would be 20%
8 0
3 years ago
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