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postnew [5]
3 years ago
5

What is the equation of a line parallel to 3 x plus 4 equal y and passing through open parentheses 4 comma space minus 2 close p

arentheses ?
Mathematics
1 answer:
nekit [7.7K]3 years ago
4 0

Step-by-step explanation:

since the two lines are parallel, slope of the line is Sam so it's 3.

let eqn of the line be y = 3x + b.

sub (4, -2):

4 = 3(-2) + b

b = 10

therefore, equation of the line is y = 3x + 10

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

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Please help me o have to turn this in tomorrow and I don’t want to fail
andriy [413]

B=5 units that is the answer

5 0
4 years ago
A photo is printed on an 12-inch by 18-inch piece of paper. The photo covers 112 square inches and has a uniform border. What is
ohaa [14]

Answer: the width of the border is 2 inches.

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

Let x represent the width of the border.

The photo is printed on an 12-inch by 18-inch piece of paper. The width of the photo will be (12 - 2x) inches. The length of the paper will be (18 - 2x) inches.

The area of the paper would be

(18 - 2x)(12 - 2x)

The photo covers 112 square inches and has a uniform border. This means that

(18 - 2x)(12 - 2x) = 112

216 - 36x - 24x + 4x² = 112

4x² - 60x + 216 - 112 = 0

4x² - 60x + 104 = 0

Dividing through by 4, it becomes

x² - 15x + 26 = 0

x² - 13x - 2x + 26 = 0

x(x - 13) - 2(x - 13) = 0

x - 2 = 0 or x - 13 = 0

x = 2 or x = 13

The only possible value for the width of the border is x = 2 inches

6 0
3 years ago
Which of the following is the graph of y = sin(0.5x)?
Alexeev081 [22]
You did not include the graphs, but I can explain how the graph is and so you can recognize it.


1) for x = 0, y = sin(0) = 0, so the  origin (0,0) is part of the graph.


2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.


3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π


That means that the values repeat every 4π interval (which is the same that 720°)


4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).


That means that the function crosses the x-axis at

..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...


5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).


Now you have plenty information to identify the graph.

I also include a graph of the function in the attached pdf file.
Download pdf
5 0
3 years ago
Read 2 more answers
Solving trigonometry equations sec^2=2cos+tan^2
lozanna [386]
Hey there for this one you need to know just a few trig identities and just move things around 

7 0
4 years ago
Find the perimeter of quadrilateral ABCD. Round to the nearest tenth.
Olegator [25]

Answer:

14.6 units

Step-by-step explanation:

AB = \sqrt{(1-3)^2+(3-5)^2}

AB =\sqrt{8}

BC = \sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}

CD = \sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}

DA = \sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}

Primeter = \sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6

4 0
3 years ago
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