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PIT_PIT [208]
2 years ago
11

If a system including the quadratic equation representing the parabola and a linear equation has no solution, which linear equat

ion could be the second equation in the system? A. 1/2x=y+4 B. 2x-y=0 C.y=6 D.y=2x+6​

Mathematics
2 answers:
marshall27 [118]2 years ago
7 0

9514 1404 393

Answer:

  D.  y=2x+6​

Step-by-step explanation:

The line cannot intersect the parabola if it has a y-intercept greater than 5 and a suitable slope. The only sensible answer choice is ...

  y = 2x +6

Leni [432]2 years ago
3 0

Answer:

D. y = 2x + 6.

Step-by-step explanation:

The required equation would not intersect the parabola at any point.

The only one to fit that is D.

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Simplify the given expression below:<br> (4 + 21) – (1 – 71)
zzz [600]

Answer:

-45

Step-by-step explanation:

PEMDAS

First, parenthesis:

4 + 21 = 25

1 - 71 = 7

Then Subtraction:

25 - 70 = -45

5 0
3 years ago
Read 2 more answers
Find the limit, if it exists (picture below)
valentinak56 [21]

Answer:

c. \frac{1}{2 \sqrt{7} }

Step-by-step explanation:

When plugging in zero into the given equation:

\lim_{x \rightarrow 0}    \frac{\sqrt{x + 7} -  \sqrt{7}  }{x} =  \frac{0}{0}

Answer is in indeterminate form = use L'Hospital's Rule:

(Derivative of the top / Derivative of the bottom)

\lim_{x \rightarrow 0}  \frac{ \frac{1}{2} (x + 7)^{ \frac{-1}{2}} - 0 }{1}

Rearranged equation:

\lim_{x \rightarrow 0}  \frac{1}{2 \sqrt{x + 7} }

Plug zero back into equation:

\lim_{x \rightarrow 0}  \frac{1}{2 \sqrt{x + 7} }  =  \frac{1}{2 \sqrt{0 + 7} } =  \frac{1}{2 \sqrt{7} }

Answer:

\lim_{x \rightarrow 0}    \frac{\sqrt{x + 7} -  \sqrt{7}  }{x} = \frac{1}{2 \sqrt{7} }

5 0
2 years ago
A plane flying horizontally at an altitude of 2 mi and a speed of 540 mi/h passes directly over a radar station. Find the rate a
Rasek [7]

Answer:

The plane's distance from the radar station will increase about 8 miles per minute when it is 5 miles away from it.

Step-by-step explanation:

When the plane passes over the radar station, the current distance is the altitude h = 2. Then it moves b horizontally so that the distance to the station is 5. We can form a rectangle triangle using b, h and the hypotenuse 5. Therefore, b should satisfy

h²+b² = 5², since h = 2, h² = 4, as a result

b² = 25-4 = 21, thus

b = √21.

Since it moved √21 mi, then the time passed is √21/540 = 0.008466 hours, which is 0.51 minutes. Note that in 1 minute, the plane makes 540/60 = 9 miles.

The distance between the plane and the radar station after x minutes from the moment that the plane passes over it is given by the function

f(x) = \sqrt{((9x)^2 + 2^2)} = \sqrt{(81x^2+4)}

We have to compute the derivate of f in x = 0.51. The derivate of f is given by

f'(x) = \frac{162x}{2\sqrt{81x^2+4}}

also,

f'(0.51) = \frac{162*0.51}{2\sqrt{81*0.51^2+4}} = 8.2486

The plane's distance from the station will increase about 8 miles per minute.

4 0
3 years ago
What is |–12|?<br><br> Can you help me please?
IrinaVladis [17]
The answer would be 12!!
5 0
3 years ago
Read 2 more answers
Anyone needs help on circumference or area of a circle?
riadik2000 [5.3K]
No circumference of a circle is very easy to me
5 0
3 years ago
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