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Lemur [1.5K]
4 years ago
8

Please please help me

Mathematics
1 answer:
Schach [20]4 years ago
4 0

Step-by-step explanation:

first, know (x,y).

second, plug it in.

-3 - 2x-6 = ?

well, 2x6= 12 and 12- (-3) is the same as 12+3=15. is 15 less than or equal to -3?

I'll do one more.

-1 - 2x1= ?

2x1=1 1-1=0. is 0 less than or equal to -3?

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Find two numbers whose difference is 13 and whose squares when added is 449.
alex41 [277]
X, y - the numbers

x-y=13 \\
x^2+y^2=449 \\ \\
\hbox{solve the first equation for x:} \\
x-y=13 \\
x=13+y \\ \\
\hbox{substitute the result for x in the second equation:} \\
(13+y)^2+y^2=449 \\
169+26y+y^2+y^2=449 \\
2y^2+26y+169-449=0 \\
2y^2+26y-280=0 \ \ \ \ \ \ \ \ \ \ \ |\div 2 \\
y^2+13y-140=0 \\
y^2+20y-7y-140=0 \\
y(y+20)-7(y+20)=0 \\
(y-7)(y+20)=0 \\
y-7=0 \ \lor \ y+20=0 \\
y=7 \ \lor \ y=-20

x=13+y \\ \Downarrow \\ \hbox{for } y=7: \\
x=13+7 \\
x=20 \\ \\
\hbox{for } y=-20: \\
x=13-20 \\
x=-7 \\ \\
(x,y)=(20,7) \hbox{ or } (x,y)=(-7,-20)

The numbers are 20 and 7 or -7 and -20.
6 0
3 years ago
pleaseeee help!!! What is the 21st term in the arithmetic sequence in which a3 is 59 and a7 is 103 (enter only the term)
GuDViN [60]

Answer: 257

Step-by-step explanation:

Given that:

a3 = 59

a7 = 103

The nth term of an Arithmetic Progression (A. P) is given by:

an = a1 + (n-1)d

Where a1 = first term of the sequence ;

d = common difference

Therefore a3 = 59 can be represented thus:

a3 = a1 + (3-1)d = 59

a3 = a1 + 2d = 59 - - - - (1)

a7 = 103

a7 = a1 + (7-1)d = 103

a7 = a1 + 6d = 103 - - - - - (2)

Subtracting (2) from (1)

(2d - 6d) = (59 - 103)

-4d = - 44

d = 11

Substitute d= 11 into (1)

a1 + 2d =59

a1 + 2(11) = 59

a1 + 22 = 59

a1 = 59 - 22

a1 = 37

The 21st term:

a21 = a1 + (21 - 1)d

a21 = 37 + 20(11)

37 + 220 = 257

6 0
3 years ago
Angle bisectors TX and UY triangle TUV meet at point I. Find all possible values of angleV if angleTIU = 109. As your answer, en
emmasim [6.3K]
Check the picture attached.

let m(VTI)= m(ITU)=a   and  let m(VUI)= m(IUT)=b

Then, in triangle TUV:

2a+2b+c=180°

2(a+b)+c=180°

c=180°-2(a+b)


In triangle TUI:

a+b+109°=180°

a+b=180°-109°=71°

substitute in c=180°-2(a+b):

c=180°-2(a+b)=180°-2*71°=180°-142°=38°

4 0
3 years ago
Giving away 14pts. This is Geometry and I need help on how to find the value of A.
Firdavs [7]
I think it is 96 but I could be wrong
8 0
3 years ago
What is an equivalent fraction for the whole number 8
sdas [7]
The answer is 8 over 1. 8/1
7 0
3 years ago
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