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swat32
3 years ago
13

Given the vertex (2,9) and the foci (5,9), what is the equation of the directrix

Mathematics
1 answer:
Gennadij [26K]3 years ago
6 0

Answer:

x = -1

Step-by-step explanation:

The vertex is halfway between the focus and the directrix.

So here the directrix is  a vertical line  to the left of the vertex and passing through the point (2-3, 9) = (-1, 9)

It is x = -1.

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Nookie1986 [14]

Answer:

\frac{7}{8} \div \frac{1}{2} = \frac{7}{4}

Step-by-step explanation:

Here we are given four equations and we have to find the equation that gives the number of half inches that are in \frac{7}{8} inches.

To find how many half inches i.e. \frac{1}{2} inches are there in \frac{7}{8} inches we have to divide \frac{7}{8} by \frac{1}{2}.

So, the equation that will give the result is \frac{7}{8} \div \frac{1}{2} = \frac{7}{8} \times \frac{2}{1} = \frac{7}{4} (Answer)

6 0
2 years ago
"Sam" and "Martha" are the local names for two lighthouses that guard a particularly dangerous part of the coast. Sam blinks eve
Hunter-Best [27]

Answer:

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4 0
3 years ago
Read 2 more answers
Simplify the following expression 4/1/4-5/2
lorasvet [3.4K]

Answer:

1\frac{3}{4}

Step-by-step explanation:

4 \frac{1}{4} - \frac{5}{2} = 1 \frac{3}{4}

5 0
2 years ago
Triangle ABC had a perimeter 18 cm
Alex

Step-by-step explanation:

what is the main condition the lengths of the sides of a right-angled triangle have to fulfill ?

Pythagoras !

c² = a² + b²

c is the Hypotenuse (the baseline opposite of the 90 degree angle), a and b are the so-called legs (the sides enclosing the 90 degree angle).

only if there is a combination of the sides, for which the Pythagoras equation is true, do we have a right-angled triangle. otherwise not.

we also know CA = 18 - 7 - 3 = 8 cm

so, let's try

8² = 7² + 3²

64 = 49 + 9 = 58 wrong

7² = 8² + 3²

49 = 64 + 9 = 73 wrong

3² = 8² + 7²

9 = 64 + 49 = 113 wrong

so, there is no combination, where the Pythagoras equation is true, so it is NOT a right-angled triangle.

4 0
2 years ago
What is the first step on factoring a polynomial
vladimir1956 [14]
<span>Steps for Factoring a Polynomial: Step 1: If there is a common factor, factor out the GCF. Step 2: Identify the number of terms: (i) If polynomial has two terms, convert polynomial into difference of two squares or sum of two cubes or difference of two cubes.
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Hope this helps!
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5 0
3 years ago
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