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zysi [14]
2 years ago
11

What is the directrix of a parabola with focus (4,-1) and a vertex at (4,-5)?​

Mathematics
1 answer:
elena-s [515]2 years ago
5 0

Answer:

<h3>                 y = -9</h3>

Step-by-step explanation:

The directrix is at the same distance from the vertex as the focus but on the opposite side of the vertex.

x coordinate the same for a focus and a vertex (4) means the parabola opens up or down and the directrix is parallel to the x-axis.

y coordinate of the focus greater than y coordinate of the vertex means the parabola opens up and the directrix lays below the vertex.

-1-(-5) = - 1 + 5 = 4

so: - 5 - 4 = -9 is the y coordinate of points of the directrix

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Suppose you have a right triangle with congruent legs and a hypotenuse that measure (12sqrt(5))/5 What is the length of the smal
anastassius [24]

The length of the smaller leg is 3.79

<h3>How to determine the length of the smaller leg?</h3>

Represent the smaller leg with x.

So, we have:

x^2 + x^2 = ((12\sqrt5)/5)^2 -- Pythagoras theorem

This gives

2x^2 = 144/5

Divide by 2

x^2 = 72/5

This gives

x^2 = 14.4

Take the square root

x = 3.79

Hence, the length of the smaller leg is 3.79

Read more about right triangles at

brainly.com/question/6322314

#SPJ1

4 0
1 year ago
Mason compares two plans for an online book club.
horsena [70]

Answer:

Book clubs in the classroom: 10 tips for success

4/19/201746 Comments

Picture

Whether you’re considering a classroom book club for the first time, or are already guiding your students through their third book this year, here’s a list of benefits and some tips for success you can employ right away!

NYC’s District 75 published their Middle School Units of Study, Developing Autonomy when Engaging with Literature, online. In it they list some of the benefits of book clubs in the classroom:

Book clubs:

Promote a love for literature and a positive attitude towards reading;

Reflect a student-centered model of literacy (employing the Gradual

Release of Responsibility);

Encourage extensive and intensive reading;

Invite natural discussions that lead to student inquiry and critical

Thinking;

Support diverse responses to text;

Foster interaction, cooperation and collaboration;

Provide choice and encourage responsibility;

Expose students to literature from multiple perspectives; and

Nurture reflection and self-evaluation.

Thoughtfully planned book clubs position learning in the hands of the students and provide discussion tools students can use as they work out their responses to the book.

We provide approaches to professional development that bridge theory and practice to generate solutions that work for a multitude of schools. With that bridge in mind, enjoy the following as you think through your classroom’s book club possibilities!

Step-by-step explanation:

pls brainlieste

6 0
2 years ago
Solve: $|2x - 1| = |3x + 5|$. write your answers as a list of numbers, separated by commas,
emmainna [20.7K]
First, disregard the sign for absolute value and solve for x. 

2x - 1 = 3x + 5
2x - 3x = 5 + 1
-x = 6
x = -6

Now, you have to interpret the absolute value. The absolute value of x is always the positive version of whatever the number is. Since x = -6, its absolute value is 6. Therefore, the possible value for x is only one, which is 6.
8 0
2 years ago
What is the range of the radical function f(x) = to the square root of x-2 +4
jarptica [38.1K]

Answer:

2,∞

Step-by-step explanation:

For the range, x2 takes its minimum at x=0 , so putting in x =0 gives y=√x2+4=√0+4=2 therefore making the range [2,∞).

6 0
2 years ago
Question 1
Black_prince [1.1K]
C:x, in the bottom equation
4 0
2 years ago
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