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Elina [12.6K]
3 years ago
8

If the sum of two numbers is 15 and their product is 50 what are they

Mathematics
1 answer:
Westkost [7]3 years ago
5 0
Xy = 50
x + y = 15

x = 15 - y

xy = 50

(5 - y)y = 50

5y - y^2 = 50

y^2 - 5y + 50 = 0

(y - 5)(y - 10) = 0

y - 5 = 0 or y - 10 = 0

y = 5 or y = 10

x + y = 15

For y = 5: 

x + 5 = 15

x = 10

For y = 10

x + 10 = 15

x = 5

Answer: the numbers are 5 and 10.

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\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}

8 0
4 years ago
2=5 ; 3=9 ; 4=48 ; 5=220 ; 6=1,350<br> THEN 8 = ?
loris [4]

IF

2=5 ;

3=9 ; 3*5 - 3*2

4=48 ; 4*9 + 4*3

5=220 ; 5*48 - 5*4

6=1,350 6*220 + 6*5

7= 9408 7*1350 - 7*6

THEN 8 = 8*9408 + 8*7 = 75320

7 0
3 years ago
Consider the proof.
fiasKO [112]

Answer:

Correct choice is B

Step-by-step explanation:

In step 4 were proved that \triangle ABC\sim\triangle DEC.

By definition, similar triangles have proportional lengths of corresponding sides. To the side AB corresponds side ED, to the side AC corresponds side DC and to the side BC corresponds side EC. Thus,

\dfrac{AC}{DC}=\dfrac{BC}{EC}.

6 0
3 years ago
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Enrique and Yolanda collected 500 pieces of candy on Halloween. they gave half of their candy to charity. Yolanda took 180 piece
Ivenika [448]

500 − 250  = 250 pieces left after donation

Yolanda got  180 pieces....then Enrique  got 70 pieces

So he got   70 /250  = 7/25  =  28%  of the remaining candy

4 0
3 years ago
Factorize: a^4+2xa³+a²x²-y^4
mart [117]

Answer:

(a^2+ax-y) (a^2+ax+y^2)

Step-by-step explanation:

a^4+2xa³+a²x²-y^4

(a^2+ax)^2-y^4

(a^2+ax-y) (a^2+ax+y^2)

4 0
3 years ago
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