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2 years ago

I need help with this,, will give brianliest and +15 points

Mathematics

1 answer:

Anit [1.1K]2 years ago

8 0

Answer:

41x² - 27x + 27

Step-by-step explanation:

Perimeter of Rectangle:

= 2(20x²-12x+4) + 2(5x²-5x+15)

= 40x²-24x+8 + 10x²-10x+30

= 50x²-34x+38

Perimeter of Triangle:

= 6x²+6x+3x+3+3x²-2x+8

= 9x²+7x+11

Difference:

(50x²-9x²)+(-34x+7x)+(38-11)

= 41x² - 27x + 27

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A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?

Aneli [31]

Answer:

Step-by-step explanation:

Slope = y2-y1/x2-x1

(2,-4) = (x1,y1)

(4,2) = (x2,y2)

Slope = (2+4)/(4-2)

= 6/2

= 3

Y=mx+b [Plugging (4,2) into this]

2 = 3×4 +b

2 = 12 + b

b = -10

3 0

2 years ago

(sqrt3-sqrt3i)^4

Ludmilka [50]

The increasing order of the complex numbers is (√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.

<h3>Absolute values of the complex numbers</h3>

The absolute values of the complex numbers are determined as follows;

(sqrt3-sqrt3i)^4 = (√3 - √3i)⁴

$|z| = \sqrt{(\sqrt{3} )^2 + (\sqrt{3 }\times1 )^2} } \\\\|z| = \sqrt{6}$

(-1+sqrt3i)^12 = (-1 + √3i)¹²

$|z| = \sqrt{(-1)^2 + (\sqrt{3)^2} } \\\\|z| = \sqrt{4} \\\\|z| = 2$

(sqrt 3-i)^6 = (√3 - i)⁶

$|z| = \sqrt{(\sqrt{3})^2 + (-1)^2 } \\\\|z| = \sqrt{4} \\\\|z| = 2$

(sqrt2-sqrt2i)^8 = (√2 - √2i)⁸

$|z| = \sqrt{(\sqrt{2} )^2 + (\sqrt{2})^2 } \\\\|z| = 2$

(sqrt2-i)^6 = (√2 - i)⁶

$|z| = \sqrt{(\sqrt{2})^2 + (-1)^2} } \\\\|z| = \sqrt{3}$

Increasing order of the complex numbers;

(√2 - i)⁶ < (√2 - √2i)⁸ = (√3 - i)⁶ = (-1 + √3i)¹² < (√3 - √3i)⁴.

Learn more about complex numbers here: brainly.com/question/10662770

#SPJ1

3 0

2 years ago

Find the value of d.

Ket [755]

First find the value or (DEA)
For this you will have to use the Pythagorean theory,
${a}^{2} + {b}^{2} = {c}^{2}$
C is mainly the hypotenuse,
Meaning you either want to find A or B,

Since the hypotenuse has two segments, both values are 10, then just add them together making it 20,

Then 16 will be A or B, in this case it will be A,

To find a you must first move A to the other side by doing the opposite,
${b}^{2} = {c}^{2} - {a}^{2}$
Now plug in the values,
${b}^{2} = {20}^{2} - {16}^{2}$
${b}^{2} = 400 - 256$
${b}^{2} = 144$
Now just find the square root of both factors,
$\sqrt{ {b}^{2} } = \sqrt{12}$
The value of (DEA) is,
$b = 12$
Now we want to find (d)
Since 12 is the value of the base, then divide it 2 to find (DE), after just repeat the whole process but with the value of hypotenuse 10 instead of 20 since we want to find the smaller triangle,
${a}^{2} = {c}^{2} - {b}^{2}$
Now plug in the value
${a}^{2} = {10}^{2} - {6}^{2}$
${a}^{2} = 100 - 36$
${a}^{2} = 64$
Now find the square root of both factors,
$\sqrt{ {a}^{2} } = \sqrt{64}$
$a = 8$

The value of (d) is (8)

Hope this helped
:D

4 0

2 years ago

Aiden owns a food truck that sells tacos and burritos. He sells each taco for $4.75 and each burrito for $7. Yesterday Aiden mad

nevsk [136]

Number of tacos sold is 65 and number of burritos sold is 40

<h3><u>Solution:</u></h3>

Given that Aiden sells each taco for $4.75 and each burrito for $7

Let the number of tacos sold be "t" and number of burritos sold be "b"

Given that Aiden sold 25 more tacos than burritos

t = b + 25 ---- eqn 1

Also given that yesterday Aiden made a total of $588.75 in revenue

number of tacos sold x cost of each tacos + number of burritos sold x cost of each burritos = 588.75

$t \times 4.75 + b \times 7 = 588.75$

4.75t + 7b = 588.75 ----- eqn 2

Substitute eqn 1 in eqn 2

4.75(b + 25) + 7b = 588.75

4.75b + 118.75 + 7b = 588.75

11.75b = 470

b = 40

Substitute b = 40 in eqn 1

t = 40 + 25

t = 65

Thus the number of tacos sold is 65 and number of burritos sold is 40

5 0

2 years ago

What is the value of 106 ?

Artemon [7]

Is that meant to be 10 to the power of 6?
Assuming it is it would be 10×10×10×10×10×10.
This equals 1,000,000 so the answer is C.

7 0

3 years ago

Read 2 more answers