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Veseljchak [2.6K]
3 years ago
12

HELP i need the answer for this.

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Answer:

The answer is A

Step-by-step explanation:

domain is always the x-value and range is a y-value

(Correct me if i am wrong)

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4x2 +9y2 = 72
Kamila [148]

Answer:

<h2>        \bold{\left(\dfrac{3}{13}\ ,\ \dfrac{4\sqrt{13}}{13}\right)\qquad\vee\qquad \left(\dfrac{3}{13}\ ,\ -\dfrac{4\sqrt{13}}{13}\right)}</h2>

Step-by-step explanation:

x - y² = -1     ⇒   - y² = - x - 1    ⇒    y² = x + 1   {x≥-1}

4x² + 9y² = 72

4x² + 9(x + 1)² = 72

4x² + 9(x² + 2x + 1) = 72

4x² + 9x² + 18x + 9 - 72 = 0

13x² + 18x - 63 = 0     ⇒   a = 13,  b = 18,  c = -63

x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}

4 0
3 years ago
What is the measure of NET?<br><br> 50°<br> 65°<br> 90°<br> 130°
Illusion [34]

Answer:

The measure of the angle NET is 65 degrees (choice #2)

Step-by-step explanation:

Because ET is tangent,  <NTE is 90 degrees. Since we are given <TNG=25 degrees, we can use the fact that the sum of the angles in the triangle ENT is 180 degrees to calculate the remaining <NET:

<NET = 180 - 90 - 25 = 65 degrees

8 0
4 years ago
Identify the errors made in finding the inverse of y = x2 12x.
arlik [135]
He should have written x= y2 + 12y .X must be less than or equal to zero. It should be x <0.

Yourwelcome


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Have a great day
8 0
2 years ago
How to solve an equation using the completing the square?
djyliett [7]
I usually used formula
f(x)=a(x+b/2a)^2+c-b/4

4 0
3 years ago
What is the value of x? Enter your answer in the box.
Archy [21]
Explanation

The sum of the three angles of a triangle has to be equal to 180 degrees.

So...
180-(75+50)
180-125
=55 degrees

X equals 55 degrees
8 0
3 years ago
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