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pentagon [3]
4 years ago
14

Find an equation for the Line with the given properties ( x-intercept=6) ( y-intercept= -1 )

Mathematics
1 answer:
ruslelena [56]4 years ago
5 0
0=m\cdot6+b\\
-1=m\cdot0+b\\\\
0=6m+b\\
-1=b\\\\
0=6m-1\\
6m=1\\
m=\dfrac{1}{6}\\
\boxed{y=\dfrac{1}{6}x-1}

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Which lines are the directrices of the ellipse?
algol [13]

The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.

<h3>How to calculate the ellipse? </h3>

From the information given, the equation of parabola will be:

= (x - 3)²/5² + (y - 2)²/3² = 1

Hence, h = 3, k = 2, a = 5, b = 3

e = ✓1 - ✓3²/5²

E = 4/5 = 0.8

The directix will be:

x = 3 + 5/0.8

x = 9.25

x = 3 - 5/0.8

x = -3.25

Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.

Learn more about ellipse on:

brainly.com/question/16904744

4 0
2 years ago
In the isosceles trapezoid below,<br> X =<br> 5x+ 15°<br> 7x-11°
tangare [24]

Answer:

x = 13°

Step-by-step explanation:

5x+15°=7x-11°

5x-7x = -11°-15°

-2x = -26° divide both sides by -2

x = 13°

5x+15° = 5×13°+15° = 80°

7x-11° = 7×13° -11°. = 80°

6 0
2 years ago
Someone please help! Here's the question: Twenty boys signed up for the school play. The number of girls who signed up was 195%
kipiarov [429]
20*1.95 =39 girls
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8 0
4 years ago
Linda owns 4 shares of a certain stock. Yesterday the total value of her shares went down by 32 dollars. What was the change in
Annette [7]

Answer:

The value of each share decreased by $8.

Step-by-step explanation:

Number of shares of a certain stock Linda owned = 4

Total value of shares went down by = $32

So find the change in value of each share.

Solution:

Let the total value of each share in dollars be = x

Value of 4 shares in dollars will be = 4x

The total value of shares went down by $32

So, new value of 4 shares = 4x-32

New value of each share = \frac{New\ value\ of\ total\ shares}{4}

⇒ \frac{4x-32}{4}

Splitting the denominators.

⇒ \frac{4x{{4}-\frac{32}}{4}

⇒ x-8

Original value of each share in dollars was = x

New value of each share in dollars = x-8

Thus, we can see that the value of each share decreased by $8.

6 0
3 years ago
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Tasya [4]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
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