Given the points X(-9, 2) and Y(5, -4), find the length of XYXY. Round to the nearest hundredth.

Answer:

HELLO DEAR,

GIVEN:-

10sin⁴A + 15cos⁴A = 6

=> 10(sin²A)² + 15cos⁴A = 6

=> 10{(1 - cos²A)²} + 15cos⁴A = 6

=> 10{1 + cos⁴A - 2cos²A} + 15cos⁴A = 6

=> 10 + 10cos⁴A - 20cos²A + 15cos⁴A = 6

=> 25cos⁴A - 20cos²A + 4 = 0

=> 25cos⁴A - 10cos²A - 10cos²A + 4 = 0

=> 5cos²A(5cos²A - 2) - 2(5cos²A - 2) = 0

=> (5cos²A - 2)(5cos²A - 2) = 0

=> cos²A = 2/5

=> cosA = √2/√5 [ secA = √5/√2]

therefore,

sinA = √[1 - 2/5] = √3/√5 [ cosecA = √5/√3]

now,

27cosec^6A + 8sec^6A

=> 27 × {(√5/√3)²}³ + 8 × {(√5/√2)²}³

=> 27 × 125/27 + 8 × 125/8

=> 125 + 125

=> 250.

HENCE, 27cosec^6A + 8sec^6A = 250.

I HOPE IT'S HELP YOU DEAR,

THANKS

Step-by-step explanation:

Answer:

[tex] \frac{5}{8} k = 25 \\ \frac{5k}{8} = 25 \\ 5k = 25 \times 8 \\ 5k = 200 \\ k = \frac{200}{5} \\ k = 40[/tex]

I hope it helped U

stay safe stay happy

Answer:

k=1/40

Step-by-step explanation:

multiple both sides by 8k

5= 25×8k

simplify 25×8k to 200k

5=200k

divide both sides by 200

5/200=k

simplify 5/200 to 1/40

1/40= k

switch sides

k=1/40

Answer:

180° Celsius is equal to approximately 356° Fahrenheit

Step-by-step explanation:

I hope this helps.

The value of 180 degree Celcius in Fahrenheit is 356.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Martha has a French cookie recipe that calls for baking the cookies for 14 to 18 minutes at 180∘C.

The temperature in Fahrenheit will be calculated as,

F = 1.8C + 32

F = ( 1.8 x 180 ) +32

F = 356

Therefore, the value of 180 degree Celcius in Fahrenheit is 356.

To know more about unit conversion follow

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Answer:

4

Step-by-step explanation:

64 = 4 × 4 × 4 = 4³ , then

[tex]\sqrt[3]{4^3}[/tex]

= 4

Answer:

The slope is 3/5

Step-by-step explanation:

–3x + 5y = 10

Rewrite the equation in slope intercept form  y = mx+b where m is the slope and b is the y intercept

Add 3x to each side

5y = 3x+10

Divide by 5

y = 3/5 x + 10/2

The slope is 3/5

Answer:

r=-1

Step-by-step explanation:

6-r+3r=4

or, 6+2r=4

or, 2r=-2

or, r=-1

Step-by-step explanation:

12 + 3=15

48+ 3=51

10 + 3=13

40 + 3=43

12 + 3=15

48 + 3=51

10 + 3=13

40+ 3=43

Answer:

[tex]3(5n - 2) \times (2n - 5)[/tex]

Step-by-step explanation:

[tex]30 {n}^{2} - 87n + 30[/tex]

[tex]3(10 {n}^{2} - 29n + 10)[/tex]

[tex]3(10 {n}^{2} - 4n - 25n + 10)[/tex]

[tex]3(10 {n}^{2} \times (5n - 2) - 25n + 10)[/tex]

[tex]3(2n \times (5n - 2) - 5(5n - 2))[/tex]

[tex] = 3(5n - 2) \times (2n - 5)[/tex]

Answer:

26 numbers

Step-by-step explanation:

Cube have 6 faces.

hope it helps

tq

Answer:

198

Step-by-step explanation:

10% less of 220  

=> 220 - 10% of 220

=> 220 - (10/100 × 220)  

=> 220 - 22

=> 198

Answer:

[tex]a {}^{m - n} [/tex]

Step-by-step explanation:

...........

Answer:

since there is no value for the dimensions of the tennis ball. The tennis ball is a sphere with a Surface Area 4pir²

Answer:

option c

Step-by-step explanation:

explaination is in pic below

Answer:

48 kg

Step-by-step explanation:

8x+2 = 9x-4

8x-9x = -4-2

-x = -6

x = 6

Jane's weight at first = 8x = 8(6) = 48 kg

Answer:

16,088 more miles

Step-by-step explanation:

Do  26,481-10,393 to get the answer.

26,481-10,393=16,088

The reason that you need to use subtraction to solve this problem is because the word problem says ”how many more”. I’ve learned in school that this is a sign that you have to find the difference to the terms being used in the problem, in this case, 26,481 and 10,393. To find the difference is to subtract the smaller number from the larger number, showing that you have to do 26,481-10,393 to get the answer.

Answer:

f(-2) = -15

Step-by-step explanation:

f(x) = 7x - 1

f(-2) = 7(-2) - 1

f(-2) = -14 - 1

f(-2) = -15

Answer:

8x + 3y + 2x^2 + 6y^2 + 7 =

Step-by-step explanation:

8x + 3y + 2x^2 + 6y^2 + 7 =

Combine like terms

There are no like terms

8x + 3y + 2x^2 + 6y^2 + 7 =

Let's combine

No like terms present

We may arrange in order of degrees.

Answer:

k=6

Step-by-step explanation:

Line partition formula

1/b(x2-x1)+x1, 1/b(y2-y1)+y1

Where b is the number partitions.

We know the x values so Subsitue 17 for x2 and 2 for x1. and we know this value must equal 7.

1/b(17-2)+2=7

1/b(15)=5

1/b=1/3

b=3

so the partition is 1/3

[tex] \frac{1}{3} (17 - 2) + 2 = 7[/tex]

So let find the y coordinate

[tex] \frac{1}{3} (8 - 5) + 5 = 6[/tex]

So our y coordinate is 6.

Answer:

[tex]\dfrac{ 450 \sin ( 140 ) }{ \sin ( 28 ) }[/tex]

= 616.127679049

"B"

Step-by-step explanation:

Answer:

a=4, b=8, c=6

Step-by-step explanation:

ATQ, p(x) + q(x) = r(x)

3x^3-(12-a)x^2-(3-c)x+b-13 = 3x^3-8x^2+3x-5

Comparing the coefficients, we have

12-a=8, a=4

b-13=-5, b=8

-(3-c)=3, c=6

Answer:

1/2 of the coconut.

Step-by-step explanation:

1/5 is equal to 2/10, so we can add these two fractions as 3/10 + 2/10, or 5/10.  Simplifying this gets us 1/2, so you and your friend eat, in total, half of the coconut.  

Step-by-step explanation:

b/c -|9|

first we will out the number from absolut value

then it will give as -9

Answer:

-19

Step-by-step explanation:

Since we already have the values of the variables and the equation, all we have to do is plug in the numbers.

-b + 3x

-(4) + 3(-5)

-4 + (-15)

-4 - 15

-19

Answer:

[tex]\boxed {\boxed {\sf -19}}[/tex]

Step-by-step explanation:

We are asked to evaluate the following expression.

[tex]-b+3x[/tex]

We know the b is equal to 4, and x is equal to -5.

We can substitute the values into the expression.

[tex]-(4) + 3(-5)[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Multiply first. We multiply -1 and 4, then 3 and -5.

[tex][-1 *4] + 3(-5)[/tex]

[tex]-4+ [3*(-5)][/tex]

[tex]-4+-15[/tex]

Add.

[tex]-19[/tex]

The expression -b+3x is equal to -19 when b equals 4 and x equals -5.

Step-by-step explanation:

please watch reflection in the picture

If the vertex of the parabola is (0, 0) and the focus is (2, 0). Then the equation of the parabola is x² = 8y. Then the correct option is C.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The vertex of the parabola is (0, 0) and the focus is (2, 0).

Then the equation of the parabola passing through the origin is given as

x² = 4ay

Then the value a is equal to 2.

Then the equation will be

x² = 4 × 2 × y

x² = 8y

More about the parabola link is given below.

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Answer:

D

y^2 = 8x

Step-by-step explanation:

Please I suffered through the question.

Hope this helps!

Answer:

x+12=7

x=7-12

x=-5

Step-by-step explanation:

Answer:

- (5/22)

Step-by-step explanation:

(12-2x+8)/3 = (6x + 15)/2

(20 - 2x)/3 = ( 6x + 15)/2

Now cross multiplication

40 - 4x = 18x + 45

-18x - 4x = 45- 40

- 22x = 5

x = - ( 5/22)

3x(4x - 2) = 3x · 4x - 3x · 2 = 12x² - 6x