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3 years ago

Please help what does x=?

Mathematics

2 answers:

mario62 [17]3 years ago

8 0

Answer: I think 13

Step-by-step explanation:

SSSSS [86.1K]3 years ago

5 0

Answer:

x = 25

Explanation:

If 9 is in the middle of the triangle, then the base of the triangle has to be twice as that. If you did 9•2, you’d get 18. But if you added 7, you’d get 25.

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If x2=18x+y and y2=18y+x, then find the value of root

mezya [45]

Answer:

$\sqrt{x^2+y^2+1}=18$

Step-by-step explanation:

We are given:

$x^2=18x+y\qquad\qquad[1]$

$y^2=18y+x\qquad\qquad[2]$

Subtracting [1] and [2]:

$x^2-y^2=18x+y-(18y+x)$

Operating:

$x^2-y^2=18x+y-18y-x$

Recall:

$x^2-y^2=(x-y)(x+y)$

Substituting:

$(x-y)(x+y)=18x+y-18y-x$

Rearranging:

$(x-y)(x+y)=18x-18y-(x-y)$

$(x-y)(x+y)=18(x-y)-(x-y)$

Dividing by x-y (recall x≠y):

$x+y=18-1=17$

$x+y=17\qquad[3]$

Now we add [1] and [2]:

$x^2+y^2=18x+y+18y+x$

Rearranging:

$x^2+y^2=18x+18y+x+y$

$x^2+y^2=18(x+y)+(x+y)$

$x^2+y^2=19(x+y)$

Substituting from [3]

$x^2+y^2=19*17=323$

Adding 1:

$x^2+y^2+1=324$

Taking the square root:

$\sqrt{x^2+y^2+1}=\sqrt{324}=18$

Thus:

$\mathbf{\sqrt{x^2+y^2+1}=18}$

3 0

3 years ago

If D is an n × n diagonal matrix with entries dii, then det D = d11d22 ∙ ∙ ∙ dnn. Verify this theorem for 2 × 2 matrices.

nadya68 [22]

Answer:

Verified

Step-by-step explanation:

Let the diagonal matrix D with size 2x2 be in the form of

$\left[\begin{array}{cc}a&0\\0&d\end{array}\right]$

Then the determinant of matrix D would be

det(D) = a*d - 0*0 = ad

This is the product of the matrix's diagonal numbers

So the theorem is true for 2x2 matrices

8 0

3 years ago

Melissa, Juan, and Rafael served a total of 74 orders Monday at the school cafeteria. Rafael served 2 times as many orders as Ju

Sidana [21]

Let's named variables as M,J and R

The equation is M+J+R=74

We will represent M with J => M=J+6 and R=2J

when we replace in the equation we get

J+6+J+2J=74 => 4J=74-6 => 4J=68 => J=68/4 = 17

J=17 => M=6+17 => M=23 and R=2* 17 => R=34

Final answer is
Juan served 17 orders
Melissa served 23 orders and
Rafael served 34 orders

Good luck!!!!

7 0

4 years ago

For the following geometric sequence find the recursive formula: {-1, 3, -9, ...}.

Artyom0805 [142]

Based on these first few terms, we can deduce that the next term is computed by switching the sign of the previous one, and multiplying it by 3: we start with -1, we switch the sign (1) and multiply by 3 (3); then again we switch the sign (-3) and multiply by 3 (-9), and so on.

Since switching sign is the same as multiplying by -1, we can compute every next term by multiplying the previous one by -3:

$a_1 = -1\\a_2 = a_1\cdot(-3) = (-1)\cdot(-3)=3\\a_3 =a_2\cdot(-3)=3\cdot(-3)=-9$

So, the recursive formula is

$a_n = -3a_{n-1}$

because it states precisely that the next term is -3 times the previous one.

6 0

3 years ago

Translate into mathematical phrase.the weight (w) is more than 2kg

Ludmilka [50]

Answer:

w>2kg

Step-by-step explanation:

the weight is greater than 2kg.

3 0

3 years ago