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3 years ago

Identify the common difference 10,20,30,40 ..

Mathematics

1 answer:

klio [65]3 years ago

8 0

Answer: 10

Step-by-step explanation:

Hello there, 10 is your common difference. the numbers consecutively go up 10. You can also check by doing the third term minus the second or the 4th minus the 3rd.

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Solve for x 7(3-x) = 8(4-2x)

Damm [24]

Answer:

x = 11/9

Step-by-step explanation:

Eliminate parentheses, add 16x, subtract 21.

7(3 -x) = 8(4 -2x) . . . . given

21 -7x = 32 -16x . . . . . eliminate parentheses using the distributive property

9x +21 = 32 . . . . . . . . add 16x

9x = 11 . . . . . . . . . . . . subtract 21

x = 11/9 . . . . . . . . . . . .divide by the coefficient of x

7 0

3 years ago

X²+Y²=250 and XY=117<br> What are the values of X and Y?

yan [13]

Answer:

Step-by-step explanation:

$x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}$

$y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9$

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3 years ago

What is the translation shown in the graph?

ASHA 777 [7]

Answer:

The shape is translated four units left, and 2 units up, therefore the answer would be x=-4 and y=+2

4 0

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Can someone please help me with this? I don’t understand what is given.

a_sh-v [17]

$\bf BC=2BA\\ BE = 2BD \end{cases} \cfrac{BC}{BE}=\cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~BA}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~BD}\implies \cfrac{BC}{BE}=\cfrac{BA}{BD}\impliedby \begin{array}{llll} \textit{equal ratio of sides}\\ \textit{similar triangles} \end{array}$

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3 years ago

You get in an elevator and go down 8 floors. You exit on the 9th floor. Write and solve an equation to find what floor you got o

AlexFokin [52]

Answer:floor 17

Step-by-step explanation:

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3 years ago

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