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2 years ago

What is the number of real solutions?

Mathematics

1 answer:

Yakvenalex [24]2 years ago

3 0

I assume the x between -11 and 2 is multiply

that would be -22=x+11
x=-33

so there's only one solution.

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The length of one leg of a right triangle is 11 and the length of the hypotenuse is 29. Find the length of the missing leg to th

VladimirAG [237]

Step-by-step explanation:

Let the missing leg or side is x

By Pythagoras theorem

29²=11²+x²

x=√(29²-11²)

x=26.83

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2 years ago

The temperature at 4 a.m. was -13 °F. The temperature was rising at a steady rate of 5 °F an hour. At what time will the tempera

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3 years ago

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3 years ago

How do you write 199.4% as a decimal?

allsm [11]

Answer:

1.994

Step-by-step explanation:

"Percent" means "per 100" or "over 100". To convert 199.4% to a decimal rewrite 199.4 percent in terms of per 100 or over 100.

199.4% = 199.4 over 100 or,

199.4%=199.4100

199.4 over 100 is the same as 199.4 divided by 100. Completing the division we get:

199.4 ÷ 100 = 1.994

Therefore, we have shown that

199.4% = 1.994

Simplified Conversion:

Remove the percent sign % and divide by 100.

199.4 ÷ 100 = 1.994

Shortcut Conversion:

Move the decimal point 2 places to the left and remove the percent sign %

199.4% becomes 1.994

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2 years ago

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Solve the system y= 4x + 1 and 3x+2y =13

Irina18 [472]

Given :

${\qquad \sf \dashrightarrow y= 4x + 1 \: –––– \sf \: (i)}$

${\qquad \sf \dashrightarrow 3x + 2y = 13 \: –––– \sf \: (ii)}$

Now, Substituing the value of y in equation (ii) :

${\qquad \sf \dashrightarrow \: 3x + 2y = 13 }$

${\qquad \sf \dashrightarrow \: 3x + 2(4x + 1) = 13 }$

${\qquad \sf \dashrightarrow \: 3x + 8x + 2 = 13 }$

${\qquad \sf \dashrightarrow \: 11x + 2 = 13 }$

${\qquad \sf \dashrightarrow \: 11x = 13 - 2 }$

${\qquad \sf \dashrightarrow \: 11x = 11 }$

${\qquad \sf \dashrightarrow \: x = \dfrac{11}{11} }$

${\qquad \sf \dashrightarrow \bf \: x = 1 }$

Now, substituting the value of x in equation (i) :

${\qquad \sf \dashrightarrow y= 4x + 1}$

${\qquad \sf \dashrightarrow y= 4(1) + 1}$

${\qquad \sf \dashrightarrow y= 4 + 1}$

${\qquad \bf \dashrightarrow y= 5}$

3 0

1 year ago