Solve the following system. x squared / 25 + y squared / 100 = 1 x squared + y squared = 25

Answer:

y = 3x - 9

Step-by-step explanation:

First, find the slope using y2 - y1 / x2 - x1

36 - 21 = 15

15 - 10 = 5

15/5 = 3, so the slope (m) is 3.

Now, plug into point-slope form: y - y1 = m (x - x1)

y - 21 = 3 (x - 10)

Simplify

y - 21 = 3x - 30

y = 3x - 9

I hope this helps!!

Answer:

metre squared (m²)

Step-by-step explanation:

metre×metre=metre squared (m²)

Answer:

D

Step-by-step explanation:

By the Pythagorean theorem:

[tex]18^2+24^2=x^2[/tex]

Therefore, answer choice D is correct. Hope this helps!

6 × 7 = 42 because       area = length × width    

Answer:

(x-1/3) is one of the factors

Step-by-step explanation:

Using the reverse of the zero product property

(x-a) = 0  where a is one of the roots

x-1/3 = 0

(x-1/3) is one of the factors

Answer:

x-1/3) is the answer

Step-by-step explanation:

zero product property

In the Pythagorean theorem, a squared minim b squared equals c squared. If you apply that formule to question 2.

17^2-8^2 = 289 - 64 = 225 = 15^2.

Therefore, the answer to first question is yes

Then, for question 2, you do the same thing.

41^2 - 40^2 = 51

Here, 51 is not a square number. Most importantly it is not the square of9,

So this triangle is not right angled

Answer:

Step-by-step explanation:

We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:

9 |   1     -5     7

____________

First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:

9 |  1     -5     7

______9____

     1

Now add down the column to get:

9 |  1   -5    7

_____9____

     1    4

Now multiply 4 by 9 and put that product up under the 7:

9 |   1    -5     7

______9__36

      1     4

Now add to see what the remainder is:

9 |   1     -5     7

_______9_36

      1      4    R43

we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.

So the answer is No.

Answer:

it would be C i took the test

Step-by-step explanation:

Answer:

The answer would be C because i just took the test and got it right hope this helps.

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

The 2 angles are inside of a right angle (the little square in the corner denotes a right angle). This means they are complementary angles, and add to 90 degrees.

8x+50=90

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

50 is being added to 8x. The opposite of addition is subtraction. Subtract 50 from both sides.

8x+50-50=90-50

8x=90-50

8x=40

x is being multiplied by 8. The opposite of multiplication is division. Divide both sides by 8.

8x/8=40/8

x=5

x is equal to 5.

Answer:

9

Step-by-step explanation:

There are nine angles in a nonagon.

Answer:

4x + 15

Step-by-step explanation:

A = 14x + 5[6 - (2x + 3)]

  = 14x + 5[6 - 2x - 3]

  = 14x + 30 - 10x - 15

  = (14x - 10x ) + (30 - 15)

  = 4x + 15

Hope this helps!

= 3x^2 + 5x^2 = 8x^2

5x - 13x = -8x

-8 + -5 = -13

=> 8x^2 - 8x - 13

: B

Answer:

8x2 − 8x − 13

Step-by-step explanation:

 (((3•(x2))+5x)-8)+((5x2-13x)-5)

((3x2 +  5x) -  8) +  (5x2 - 13x - 5)

 Factoring  8x2-8x-13

The first term is,  8x2  its coefficient is  8 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  -13

Step-1 : Multiply the coefficient of the first term by the constant   8 • -13 = -104

Step-2 : Find two factors of  -104  whose sum equals the coefficient of the middle term, which is   -8 .

     -104    +    1    =    -103

     -52    +    2    =    -50

     -26    +    4    =    -22

     -13    +    8    =    -5

     -8    +    13    =    5

     -4    +    26    =    22

     -2    +    52    =    50

     -1    +    104    =    103

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 8x2 - 8x - 13 ✅

Answer:

factor

Step-by-step explanation:

Answer:

[tex]=4y[/tex]

Step-by-step explanation:

[tex]y-\left(-3y\right)\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=y+3y\\\mathrm{Add\:similar\:elements:}\:y+3y=4y\\=4y[/tex]

Answer:

[tex] = 4y[/tex]

Step-by-step explanation:

[tex]y - ( - 3y)[/tex]

we know that,

[tex]( - ) \times ( - ) = ( + )[/tex]

so,

[tex]y - ( - 3y) \\ y + 3y \\ = 4y[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

If it gets stuck in my head, then i listened to the song.

Answer:Its A

Step-by-step explanation:

Its A because its right believe me

equivalent to One-fourth x is One-half x + one-half x; equation 7 is correct

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same. The given equation is equivalent to the expression one half and one half x.

Given information;

The expression given in the problem is,

(1/4) x [tex]x[/tex]

Equivalent expression;

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.

For given expression,

1/4 x [tex]x[/tex]

As the above function is the function of x. Thus it can be written as,

f(x)= 1/4 x [tex]x[/tex]

The number four is the product of number 2 and number 2. Thus,

f(x)=(1/2x2) x [tex]x[/tex]

f(x)=(1/2 x 1/2) x [tex]x[/tex]

Hence the given equation is equivalent to the expression one half and one half x.

Learn more about the equivalent expression here;

brainly.com/question/10628562

#SPJ6

Answer:

67.6

Step-by-step explanation:

Since 67.56 is 6 and above so, it is rounded to 6 so, it is 67.6.

Answer:

- 1 4/5

Step-by-step explanation:

-1 1/5 + - 3/5

Since the signs are the same, we add and take the sign

1 1/5 + 3/5

1 4/5

The sign is negative

- 1 4/5

On the number line start at - 1 1/5 and go to the left 3/5( since the sign is negative)  you will end up at - 1 4/5

Answer:

  1/2 = 2^-1 = 1/2

Step-by-step explanation:

The picture shows you that you find the number at 11:00 a.m. by dividing 1 by 2. That division is represented as ...

  [tex]1\div2=\boxed{\dfrac{1}{2}}=\boxed{2^{-1}}=\boxed{1/2}[/tex]

__

Additional comment

It is somewhat difficult to tell exactly what "expanded form" is required for the fraction. We have taken a clue from the form used for positive exponents where the multiplication by 2 is shown. So, for negative exponents, we have shown the division by 2.

The 10 a.m. form might then be 1/4 = 2^-2 = 1/2/2.

Answer:

graph 1 is the function.

Answer:

If they lie in the same plane

Answer:

210.

Step-by-step explanation:

The first 4 primes are 2,3,5 and 7.

If we multiply them we get 2*3*5*7 = 210.

So 210 + 1 = 211 is one integer which gives 1 as a remainder.

The next one would be  2*210 + 1 = 421.

The difference is 210.

Answer:

? = 2 sqrt(21)

Step-by-step explanation:

We can use the Pythagorean theorem to solve since this is a right triangle

a^2 + b^2 =c^2

?^2 + 4^2 = 10 ^2

?^2 + 16 = 100

Subtract 16 from each side

?^2 +16-16 = 100-16

?^2 = 84

Take the square root of each side

sqrt(?^2) = sqrt(84)

? = sqrt(4) sqrt(21)

? = 2 sqrt(21)

Answer:

[tex]? =9.16515139[/tex]

Step-by-step explanation:

→You can use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

→The "a," and "b," are the legs, and the "c," is the hypotenuse. In this case, we area already given the hypotenuse (10), and are solving for the leg. So plug in the numbers, like so:

[tex]4^2+b^2=10^2[/tex]

[tex]16 + b^2=100[/tex]

→Subtract 16 from both sides:

[tex]b^2 = 84[/tex]

→To get "b," by itself, square root both sides, like so:

[tex]\sqrt{b^2} = \sqrt{84}[/tex]

[tex]b = 9.16515139[/tex]

Answer:

Perpendicular: [tex]y = \frac{5}{8}x+4[/tex]

Parallel: [tex]y=-\frac{8}{5} x+RandomNumberNot4[/tex]

Step-by-step explanation:

I'm going to rewrite the equation:

[tex]y=-\frac{8}{5} x+\frac{4}{5}[/tex]

Perpendicular means that the slope is the opposite reciprocal.

Slope = [tex]\frac{5}{8}[/tex]

[tex]y = \frac{5}{8}x+4[/tex]

Parallel means that the slope is the same but the y - intercept is different:

[tex]y=-\frac{8}{5} x+RandomNumberNot4[/tex]

Answer:

10

Step-by-step explanation:

By the Pythagorean Theorem:

[tex]c=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]

Hope this helps!

Answer:

13, 21, and 34

Step-by-step explanation:

x(n) + x(n+1) + x(n+2)= 68

x(n), x(n+1), and x(n+2) are three consecutive Fibonacci numbers.

=> (x) + (x+k) + (x+x+k)=68

(x is a Fibonacci number and k is a positive integer)

=> 4x + 2k = 68

=> 2x + k = 34

=> x < 17

Check two Fibonacci numbers that are closest to 17 and smaller than 17.

x(n)=8 => x(n+1)=13, x(n+2)= 21

=>x(n) + x(n+1) + x(n+2)= 8 + 13 + 21 = 42 (not valid)

x(n) = 13 => x(n+1) = 21, x(n+2)= 34

=> x(n) + x(n+1) + x(n+2)= 13 + 21 + 34 = 68 (valid)

Hope this helps!

Answer:

1498.17

Step-by-step explanation:

formula A = P[tex](1 + \frac{r}{100} )^{n}[/tex] where r is the rate of interest compounded and n is the number of times compounded.

r = 4.5 / 12 = 0.375 since it is compounded monthly thus need to divide by 12 months

n = 9 x 12 = 108 ( 9 years in months)

A = 1000[tex](1 + \frac{0.375}{100})^{108}[/tex] = 1498.167

Answer:

Step-by-step explanation:

A = I(1+r/n)^nt

A = ?

I = $1000

r = 4.5% = 4.5/100 = 0.045

n = 12

t = 9

A = 1000(1+0.045/12)^108

A = 1000(1.00375)^108

A = $1498.17

Answer:

[tex]6x^{7} +15x^{5}[/tex]

Step-by-step explanation:

[tex]3x^{5}[/tex]([tex]2x^{2} +4+1[/tex])

Multiply [tex]3x^{5}[/tex] by each term in the parentheses.

[tex]6x^{7}[/tex] + [tex]12x^{5} +3x^{5}[/tex]

Now, all you have to do is simplify.

[tex]6x^{7} +15x^{5}[/tex]

Answer:

(A) 1(B) 3 (C) 2(D) 4

Step-by-step explanation:

Answer:

C) The initial value is 32, and the rate of change is 1.

Step-by-step explanation:

This is the correct answer for edge