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3 years ago

Please help ASAP!!!

Mathematics

1 answer:

emmainna [20.7K]3 years ago

3 0

It would be 1 copy, and would cost $42.
39+3(1)=42$
30+12(1)=42$
39+3x, 30+12x are the equations

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The table shows ordered pairs of the function y = 8 - 2x. When x = 8, the value of y is

Sergeu [11.5K]

The answer will be -8

y=8-2x x=8

8-2(8)
8-16=-8

6 0

3 years ago

What is the point of intersection of the lines represented by these equations

Marizza181 [45]

<h2>Points of Intersection</h2>

To find the point of intersection of two lines, we can use substitution to find the <em>x</em> and <em>y</em> coordinates.

<h2>Solving the Question</h2>

We're given:

$y = -2x + 2$
$y = x - 4$

Use substitution to find <em>x</em>:

$-2x + 2=x-4\\-2x=x-6\\-3x=-6\\x=2$

Use substitution to find <em>y</em>:

$y=x-4\\y=2-4\\y=-2$

<h2>Answer</h2>

The point of intersection is (2,-2).

3 0

2 years ago

For the fraction 3/25, (a) write a percent and (b) write a decimal.

Marysya12 [62]

Answer:

12%

.12

Step-by-step explanation:

3/25 * 4/4 = 12/100

We know that out of 100 means percent

12%

Since it is over 100, move the decimal 2 places to the left

.12

6 0

3 years ago

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MATH HELP PLZ!!!

RoseWind [281]

Answer:

a) $tan (157.5) = \frac{1-cos 315}{sin315}$

$sin (165) =\sqrt{ \frac{1-cos (330) }{2}}$

$sin^{2} (157.5) = \frac{1-cos (315) }{2}$

cos 330° = 1- 2 sin² (165°)

Step-by-step explanation:

By using trigonometry formulas

cos2∝ = 2 cos² ∝-1

cos∝ = 2 cos² ∝/2 -1

1+ cos∝ = 2 cos² ∝/2

$cos^{2} (\frac{\alpha }{2}) = \frac{1+cos\alpha }{2}$

cos2∝ = 1- 2 sin² ∝

cos∝ = 1- 2 sin² ∝/2

$sin^{2} (\frac{\alpha }{2}) = \frac{1-cos\alpha }{2}$

Given

$tan\alpha = \frac{sin\alpha }{cos\alpha }$

we know that trigonometry formulas

$sin\alpha = 2sin(\frac{\alpha }{2} )cos(\frac{\alpha }{2} )$

1- cos∝ = 2 sin² ∝/2

Given

$tan(\frac{\alpha }{2} ) = \frac{sin(\frac{\alpha }{2} )}{cos(\frac{\alpha }{2}) }$

put ∝ = 315

$tan(\frac{315}{2} ) = \frac{sin(\frac{315 }{2} )}{cos(\frac{315 }{2}) }$

multiply with ' 2 sin (∝/2) both numerator and denominator

$tan (\frac{315}{2} )= \frac{2sin^{2}(\frac{315)}{2} }{2sin(\frac{315}{2} cos(\frac{315}{2}) }$

Apply formulas

$sin\alpha = 2sin(\frac{\alpha }{2} )cos(\frac{\alpha }{2} )$

1- cos∝ = 2 sin² ∝/2

now we get

$tan (157.5) = \frac{1-cos 315}{sin315}$

$sin^{2} (\frac{\alpha }{2}) = \frac{1-cos\alpha }{2}$

put ∝ = 330° above formula

$sin^{2} (\frac{330 }{2}) = \frac{1-cos (330) }{2}$

$sin^{2} (165) = \frac{1-cos (330) }{2}$

$sin (165) =\sqrt{ \frac{1-cos (330) }{2}}$

c )

$sin^{2} (\frac{\alpha }{2}) = \frac{1-cos\alpha }{2}$

put ∝ = 315° above formula

$sin^{2} (\frac{315 }{2}) = \frac{1-cos (315) }{2}$

$sin^{2} (157.5) = \frac{1-cos (315) }{2}$

cos∝ = 1- 2 sin² ∝/2

put ∝ = 330°

$cos 330 = 1 - 2sin^{2} (\frac{330}{2} )$

cos 330° = 1- 2 sin² (165°)

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3 years ago

What is 7.32 written as a fraction in lowest terms?

Svetach [21]

Answer:

183/25 is an equivalent fraction form for decimal 7.32

Step-by-step explanation:

7 0

3 years ago

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