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3 years ago

Find the length of side x in simplest radical form with a rational denominator.

Mathematics

1 answer:

SashulF [63]3 years ago

8 0

Sin45=AC/BC
1/(square root)2=(square root5)/x
X=(square root 2) x (square root 5)
X=(square root 10)

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Is the equation y = x^2 -6 linear?

IrinaK [193]

Answer:

Step-by-step explanation:

for the equation y=x^2 -6 the line is curved and both points are facing up. A linear pair has to be straight. Therefore, this equation isn't linear

4 0

3 years ago

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Using the graph below, what is the best estimate of month 7's average temperature if the equation for the line of best fit is y

defon

Substitute x to be 7 (for month 7) and work out the equation:

y = -13(7) + 111

y = -91 + 111

y = 20

Your answer is 20 degrees Fahrenheit.

5 0

3 years ago

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A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i

astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

The height of the ball is at least 36 feet above the ground. It means $h\geq 36$ .

$-3t^2+24t\geq 36$

$-3t^2+24t-36\geq 0$

$-3(t^2-8t+12)\geq 0$

Splitting the middle term, we get

$-3(t^2-6t-2t+12)\geq 0$

$-3(t(t-6)-2(t-6))\geq 0$

$-3(t-2)(t-6)\geq 0$

The critical points are:

$-3(t-2)(t-6)=0$

$t=2,6$

These two points divide the number line in 3 intervals $(-\infty,2),(2,6),(6,\infty)$ .

Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

The inequality is true for (2,6) and the sign of inequality is $\geq$ . So, the ball is above 36 feet between 2 to 6 seconds.

$6-2=4$

Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

3 0

3 years ago

Lim wrote several pairs of values that he thought were equivalent. Which of his equations is correct?

Annette [7]

Answer:

I believe the correct answer would be A: 3/5 = 60

Step-by-step explanation:

Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.

7 0

3 years ago

Rename the number 780000 = 78

AfilCa [17]

<span>We need to rename the given number which is 780 000 into 78 ________.
=> But before we rename it, we need to find the value of 78
=> Since this is a 6 digit whole number, we have ones, tens, hundreds, thousands, ten thousands, hundred thousands.
=> 7 = hundred thousands
=> 8 = ten thousands
=> 7 hundred thousands + 8 ten thousands
=> Thus, the renamed of 780 000 is 7 hundred 8 ten thousands.

</span>

3 0

4 years ago