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2 years ago

What is the value of - 3x + 2(y - 1) when x = 4 and y = 3? x + y² Show your work.

Mathematics

2 answers:

r-ruslan [8.4K]2 years ago

5 0

Answer:

first question ans is 16 and second is 13

Step-by-step explanation:

Given

x=4 and y=3

3x+2(y-1)

3×4+2(3-1)

3×4+2×2

12+4

16Ans

Second question is

x+y×y

4+3×3

4+9

13 Ans

nika2105 [10]2 years ago

4 0

Answer:

-8

Step-by-step explanation:

substitute

x=4

into -3x+2(y-1):

x=3

-3x4+2x(3-1)

-12+2x(3-1)

-12+2x2

-12+4

= -8

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Help! How would I solve this trig identity?

NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

$sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}$

Then the identity can be rewritten as:

$sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\$

Now we can multiply both sides by cos⁴(x) to get:

$\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)$

Now we can use the identity:

sin²(x) + cos²(x) = 1

$1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1$

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

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7 0

1 year ago

The recycling center pays $0.01 for each aluminum can recycled. Dan was payed $10.00 for all his aluminum cans. How many aluminu

Setler [38]

Answer:

1000

Step-by-step explanation:

To solve this you divide 10/0.01 and you get 1000.

Hope it helps!

8 0

2 years ago

Please help me, I don’t know how to solve for x on this one

Brums [2.3K]

Use trigonometry to solve for x.

The tangent function is defined to be opposite side divided by the adjacent side.

tan(78) = x/10

tan(78)(10) = x

47.0463010948 = x

We now round off to two decimal places. In other words, we round off to the nearest tenths.

47.05 = x

Done!

5 0

2 years ago

Which of the following sets does not contain any irrational numbers?

dusya [7]

Answer:

{ 9/2 , square root of 100, 5.123}

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

ANYONE...........help

KATRIN_1 [288]

Answer:

1 cm

Step-by-step explanation:

<u>Sides of the picture added margin:</u>

l = 8 + 2x
w = 5 + 2x

A(margin) = 30 cm²

<u>Solution</u>:

A(margin) = Total area - A(picture)
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4x² + 26x - 30 = 0
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x = (-13 + √(13² + 2*4*15))/4
x = (-13 + 17)/4
x = 1 cm

Note. The other root is ignored as negative.

3 0

2 years ago