find the area of square if the length of its diagonal is 18 cm​

Answer:

x = -7

Step-by-step explanation:

-2x - 3x = -5x

so then its -5x - 15

you then add 15 to both sides which gives you -5x = 35

divide -5 from each side to get the answer

-7 = x

Step-by-step explanation:

-2x - 3x -15 = 20

-5x = 20 + 15

-5x = 35

x = 35/-5

x = -7

Answer:

Proved

Step-by-step explanation:

Required

Prove that:

[tex](x\ sin\ a + y\ cos\ a)^2 + (x\ cos\ a - y\ sin\ a)^2 = x^2 + y^2[/tex]

Solving from left to right:

Open brackets

[tex](x\ sin\ a + y\ cos\ a)(x\ sin\ a + y\ cos\ a) + (x\ cos\ a - y\ sin\ a)(x\ cos\ a - y\ sin\ a) = x^2 + y^2[/tex][tex]x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a - 2xy\ sin\ a\ cos\ a + y^2\ sin^2 a = x^2 + y^2[/tex]

Collect Like Terms

[tex]x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a - 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a+ y^2\ sin^2 a = x^2 + y^2[/tex]

[tex]x^2\ sin^2 a + y^2\ cos^2 a + x^2\ cos^2 a+ y^2\ sin^2 a = x^2 + y^2[/tex]

Collect Like Terms

[tex]x^2\ sin^2 a + y^2\ sin^2 a + x^2\ cos^2 a + y^2\ cos^2 a = x^2 + y^2[/tex]

Factorize:

[tex](x^2 + y^2)\ sin^2 a + (x^2 + y^2) cos^2 a = x^2 + y^2[/tex]

Further factorize

[tex](x^2 + y^2)(sin^2 a + cos^2 a) = x^2 + y^2[/tex]

In trigonometry:

[tex]sin^2 a + cos^2 a = 1[/tex]

So, we have:

[tex](x^2 + y^2)(1) = x^2 + y^2[/tex]

[tex]x^2 + y^2 = x^2 + y^2[/tex]

Proved

Answer:

25 Nickles

Step-by-step explanation:

n + q = 38

0.05n + 0.25q = 4.50

n + q = 38

q = 38 - n

0.05n + 0.25q = 4.50

0.05n + 0.25(38 - n) = 4.50

0.05n + 9.5 - 0.25n = 4.50

-0.2n + 9.5 = 4.50

-0.2n = 4.50 - 9.50

-0.2n = -5

-0.2n/0.2 = -5/0.2

-n = -25

-n/-1 = -25

n = 25

Answer:58.5 that is your answer

Answer: 222

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

It Ariana grande but when that person reported me my brainlist got taken away

Step-by-step explanation:

Step-by-step explanation:

at 2=-2

at -3= -6

[tex]y = ax + b \\ - 2 = 2a + b \\ - 6 = - 3a + b[/tex]

[tex] - 2 - ( - 6) = 2a - ( - 3a) \\ 4 = 5a \\ a = 0.8[/tex]

[tex] - 2 = 2(0.8) + b \\ b = - 2 - 1.6 \\ b = - 3.6[/tex]

[tex]y = 0.8x - 3.6[/tex]

17 x 9 = 153

Step-by-step explanation:

the answer is 153

Answer:

TW = ST

Step-by-step explanation:

RS = RW (Given)

RT = RT (reflexive property)

This makes ∆RST congruent to ∆RWT based on the reflexive property of congruence.

Therefore, the third corresponding sides, TW and ST would be congruent to each other.

Thus:

TW = ST

Answer:

the first one....

Step-by-step explanation:

Thank u....

Answer:

$85

Step-by-step explanation:

First you do 68 divided by 8. Then you take the answer 8.5 and multiply it by 10  which equals 85. Brainliest?

Answer:

I think its D

Step-by-step explanation:

Sorry if its wrong

Answer:

5/36

Step-by-step explanation:

We need the least common denominator for 12 and 9.

12 = 2^2 * 3

9 = 3^2

LCD = 2^2 * 3^2 = 4 * 9 = 36

11/12 - 7/9 = 33/36 - 28/36 = 5/36

Answer:

Step-by-step explanation:

Kyra invested $15,000 of her money at a 1.8% per year bank rate. ... What is Kyra's account balance, to the nearest cent, after: Year 1? Year 2? ... -Compounded interest adds interest not only to your principle amount, but your ... 5) Suppose you deposit $3,000 into an account that earns 6% compounded annually

Answer:

9 weeks

Step-by-step explanation:

divide the full capacity by 2 to get 9 because 9 x 2 is 18 and half of the full capacity would be half capacity

Answer:

43 in^2

Step-by-step explanation:

Answer:

43in^2

Step-by-step explanation:

Answer:

$520.437

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

Soz to bother ya with an incorrect answer, but we cant see it clearly. try screen snipping?

Answer:  

tan theta = -1

we know tan = opposite/ adjacent

So opposite/adjacent = -1

Multiply by adjacent on each side

opposite = - adjacent

We also know from pythagorean theorem that

opposite ^2 + adjacent ^2 = hypotenuse ^2

Substituting in for adjacent

opposite ^2 + (-opposite ) ^2 = hypotenuse ^2

opposite ^2 + opposite ^2 = hypotenuse ^2

2 opposite ^2 = hypotenuse ^2

Taking the square root on each side

sqrt(2 opposite ^2)   =  sqrt(hypotenuse ^2)

sqrt(2) opposite = hypotenuse

We are now set to find the sec

sec theta = hypotenuse / adjacent

              = sqrt(2) opposite/ adjacent

Replace the opposite = -adjacent

                = sqrt(2) (-adjacent)/adjacent)

                = -sqrt(2)

Step-by-step explanation:

Answer:

tan theta = -1

we know tan = opposite/ adjacent

So opposite/adjacent = -1

Multiply by adjacent on each side

opposite = - adjacent

We also know from pythagorean theorem that

opposite ^2 + adjacent ^2 = hypotenuse ^2

Substituting in for adjacent

opposite ^2 + (-opposite ) ^2 = hypotenuse ^2

opposite ^2 + opposite ^2 = hypotenuse ^2

2 opposite ^2 = hypotenuse ^2

Taking the square root on each side

sqrt(2 opposite ^2)   =  sqrt(hypotenuse ^2)

sqrt(2) opposite = hypotenuse

We are now set to find the sec

sec theta = hypotenuse / adjacent

             = sqrt(2) opposite/ adjacent

Replace the opposite = -adjacent

               = sqrt(2) (-adjacent)/adjacent)

               = -sqrt(2)

Step-by-step explanation:

Answer:

slope= -3. y intercept is 4

Step-by-step explanation:

the x value is slope and the y value is y intercept.

REMEMBER THIS!!! ITS SUPPPER IMPORTANT

Answer:

[tex]\boxed {\sf m= -3}}[/tex]

[tex]\boxed {\sf b= 4}[/tex]

Step-by-step explanation:

The equation of the line is in slope intercept form or:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

Essentially:

The line given is:

[tex]y= -3x+4[/tex]

-3 is the coefficient of x and 4 is being added to -3x.

The slope (m) is -3 and the y-intercept (b) is 4.

Step-by-step explanation:

If y was directly proportional to x, the graph of y against x would pass through the origin (O).

Since the graph above does not show this, y is not directly proportional to x.

Answer:

replace the x with -3

Step-by-step explanation:

if you ever have f(x) = 'insert equation' and then it says find f('insert number'), you replace what ever variable is after the first 'f' with the number after the second 'f'. hope this helped!

Answer:

Step-by-step explanation:

Writing the polynomial according to the decreasing value of the exponents, the polynomial in standard form is given by:

[tex]p(x) = -6x^4 + 14x^2 + 7x - 125[/tex]

In a standard form polynomial, the terms with the highest exponents always come first.

In this problem, the exponents are, in order, 1, 0, 4 and 2. Thus, first should come the term with exponent 4, then the term with exponent 2, then exponent 1 and finally the term with exponent 0. Thus, the polynomial in standard form is given by:

[tex]p(x) = -6x^4 + 14x^2 + 7x - 125[/tex]

A similar problem is given at https://brainly.com/question/21328461

Answer: Zander Runs, 13.125 miles. You take the mixed number and change it into an improper fraction. So you get 63/4 then multiply that by 5/6 and get 13.125 miles there is your answer. I hope this helps you

Step-by-step explanation:

Answer:

Always, always, both intercepts

Step-by-step explanation:

A cube root function will always have an x-intercept and always have a y-intercept. For the parent cube root function, both intercepts are located at (0,0).

A cube root function, represented as f(x) = ∛x, will always have an x-intercept and always have a y-intercept.

An x-intercept is a point where the graph of the function crosses the x-axis, and a y-intercept is a point where the graph crosses the y-axis.

For the cube root function, the x-intercept occurs when the input value x is equal to 0. When x is 0, f(x) = ∛0 = 0, which means the function crosses the x-axis at (0, 0).

Similarly, for the cube root function, the y-intercept also occurs at the point (0, 0). When x is 0, f(x) = ∛0 = 0.

so the function also intersects the y-axis at (0, 0).

To learn more on Functions click:

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Answer:

$|-7000|

Step-by-step explanation:

divide 84000 by 12 = 7000

Answer:

7,000.00

Step-by-step explanation:

if you have 84,000 and divide it by 12 you would get 7,000.

Answer:

-x + y = - 2

Step-by-step explanation:

Standard Form of the Line

The equation of a line can be written in standard form:

Ax + By = C

To find the values of A, B, and C, we must use the point-slope form:

y - k = m(x - h)

Where m is the slope and (h,k) is one point where the line passes through.

Let's calculate the slope by using the given points (3,1) and (0,-2):

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystyle m=\frac{-2-1}{0-3}=1[/tex]

Now find the equation by using the point (0,-2):

y + 2 = 1(x - 0)

y = x - 2

Subtracting x:

- x + y = - 2

Answer:

Step-by-step explanation:

x > y

x = 6y + 3

x-y = 8

(6y+3) - y = 8

5y + 3 = 8

y = 1

x = 6y + 3 = 9

Answer:

-4

Step-by-step explanation:

Let us rearrange this equation by dividing both sides by (-3):

y=-4x-2

And since the equation of a line is y=mx+b, where slope=m,

then the slope of our line is -4

I hope this helps! :)

Slope of the line  -3y = 12x + 6 is -4.

The slope-intercept form of a straight line is used to find the equation of a line. For the slope-intercept formula, we have to know the slope of the line and the intercept cut by the line with the y-axis. Let us consider a straight line of slope 'm' and y-intercept 'b'. The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as:

y = mx + b.

Given,

Equation of the straight line

-3y = 12x + 6

Dividing by -3 on both side

y = 12x/-3 + 6/-3

y = - 4x - 2

Comparing the above equation with slope - intercept form equation of line

y = mx + b

where m is slope and b is vertical intercept.

Slope of the given line

m = -4

Hence, - 4 is the slope of the line -3y = 12x + 6 .

Learn more about slope - intercept form of line:

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