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olga nikolaevna [1]
3 years ago
10

Use the substitution method to solve the system of equations. Choose the correct ordered pair. x + y = 11 -x = -y - 9

Mathematics
2 answers:
suter [353]3 years ago
5 0
x+y=11 \\
-x=-y-9 \\ \\
\hbox{substitute the second equation by -1} \\ \\
x+y=11 \\
x=y+9 \\ \\
\hbox{substitute y+9 for x in the first equation} \\ \\
y+9+y=11 \\
2y=11-9 \\
2y=2 \\
y=\frac{2}{2} \\
y=1 \\ \\
x=y+9 \\
x=1+9 \\
x=10 \\ \\
(x,y)=(10,1)

The answer is B.
ra1l [238]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Apex

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Answer:

The National Woman Suffrage Association advocated for a range of reforms to make women equal members of society, such as the right to own property, etc. The American Woman Suffrage Association lobbied state governments to enact laws granting or expanding women's right to vote in the United States.

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3 years ago
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The sum of squares of two consecutive odd numbers is 514 find the numbers ​
amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

\rule{130}1

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

\rule{130}1

☯ \underline{\boldsymbol{According\: to \:the\: Question\:now :}}

:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup

When,

\bullet\: \textsf {x = } \textbf {15}

\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17}

\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.

5 0
3 years ago
Plz plz plz help me with this​
AnnZ [28]

Answer:

m∠A = 65°

Step-by-step explanation:

<em>Opposite angles of the quadrilateral add up to 180</em>.

This means x + 148 = 180 -> <em>x = 32</em>.

m∠A = 2x + 1 -> 2(32) + 1

m∠A = 65°.

4 0
3 years ago
Numbers like 10 100 thousand and so on are called what
ohaa [14]
They are called powers of 10.
6 0
3 years ago
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An antelope can run a speed of 61 miles per hour. What is this speed in yards per second? Round to the nearest hundredth
DochEvi [55]

Answer:

= 29.82 yards/second

Step-by-step explanation:

The speed is given in the problem.  We just need to convert its units.  The multiplicative identity (that is, 1) may be used to change the units without changing the value.  (note:  do you know what the additive identity is?)

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      note:  miles, feet, hours, minutes cancel out; leaving yards per second

    (61/1)*(5280/1)*(1/3)*(1/60)*(1/60)   yards/second          (note: I write that way to paste into Excel)

8 0
3 years ago
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