Help me plz!!!!!!!!!!!!!!!!!!!!

What is the answer for this question

Pavlova-9 [17]

Answer:

option d. is the correct answer

5 0

3 years ago

Directions: Simplify the following monomials.

Ulleksa [173]

Answer:

Dangg... A summary

Step-by-step explanation:

6 0

3 years ago

The focus of a parabola is (−5,−1) and the directrix is y=−3. What is an equation of the parabola? (x+5)2=8(y+5)

Anna35 [415]

Graph x2 = 4y and state the vertex, focus, axis of symmetry, and directrix.This is the same graphing that I've done in the past: y = (1/4)x2. So I'll do the graph as usual: The vertex is obviously at the origin, but I need to "show" this "algebraically" by rearranging the given equation into the conics form:x2 = 4y Copyright © Elizabeth Stapel 2010-2011 All Rights Reserved
(x – 0)2 = 4(y – 0)This rearrangement "shows" that the vertex is at (h, k) = (0, 0). The axis of symmetry is the vertical line right through the vertex: x = 0. (I can always check my graph, if I'm not sure about this.) The focus is "p" units from the vertex. Since the focus is "inside" the parabola and since this is a "right side up" graph, the focus has to be above the vertex.From the conics form of the equation, shown above, I look at what's multiplied on the unsquaredpart and see that 4p = 4, so p = 1. Then the focus is one unit above the vertex, at (0, 1), and the directrix is the horizontal line y = –1, one unit below the vertex.vertex: (0, 0); focus: (0, 1); axis of symmetry: x = 0; directrix: y = –1Graph y2 + 10y + x + 25 = 0, and state the vertex, focus, axis of symmetry, and directrix.Since the y is squared in this equation, rather than the x, then this is a "sideways" parabola. To graph, I'll do my T-chart backwards, picking y-values first and then finding the corresponding x-values for x = –y2 – 10y – 25:To convert the equation into conics form and find the exact vertex, etc, I'll need to convert the equation to perfect-square form. In this case, the squared side is already a perfect square, so:y2 + 10y + 25 = –x 
(y + 5)2 = –1(x – 0)This tells me that 4p = –1, so p = –1/4. Since the parabola opens to the left, then the focus is 1/4 units to the left of the vertex. I can see from the equation above that the vertex is at (h, k) = (0, –5), so then the focus must be at (–1/4, –5). The parabola is sideways, so the axis of symmetry is, too. The directrix, being perpendicular to the axis of symmetry, is then vertical, and is 1/4 units to the right of the vertex. Putting this all together, I get:vertex: (0, –5); focus: (–1/4, –5); axis of symmetry: y = –5; directrix: x = 1/4Find the vertex and focus of y2 + 6y + 12x – 15 = 0The y part is squared, so this is a sideways parabola. I'll get the y stuff by itself on one side of the equation, and then complete the square to convert this to conics form.y2 + 6y – 15 = –12x 
y2 + 6y + 9 – 15 = –12x + 9 
(y + 3)2 – 15 = –12x + 9 
(y + 3)2 = –12x + 9 + 15 = –12x + 24 
(y + 3)2 = –12(x – 2) 
(y – (–3))2 = 4(–3)(x – 2)Then the vertex is at (h, k) = (2, –3) and the value of p is –3. Since y is squared and p is negative, then this is a sideways parabola that opens to the left. This puts the focus 3 units to the left of the vertex.vertex: (2, –3); focus: (–1, –3)

8 0

3 years ago

Can you please help really, please?

Tanya [424]

For lesson 4 10^15/10^4= 10^11 because when you are dividing with exponents you have to subtract the bottom exponent with the top one so 15-4=11; 10^15/10^4=10^11

4 0

3 years ago

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Noah is running a portion of a marathon at a constant speed of 6 mph. Complete the table to predict how long it would take him t

ycow [4]

Answer:

$\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}$

Step-by-step explanation:

Noah's running speed = 6 mph.

Use formula $D=v\cdot t,$ where

D is the distance,

v is the speed,

t is the time.

If $t=1$ hour, then $D=6\cdot 1=6$ miles.

If $t=\dfrac{1}{2}$ hour, then $D=6\cdot \dfrac{1}{2}=3$ miles.

If $t=1\dfrac{1}{3}$ hours, then $D=6\cdot 1\dfrac{1}{3}=6\cdot \dfrac{4}{3}=8$ miles.

If $t=1\dfrac{1}{2}$ hours, then $D=6\cdot 1\dfrac{1}{2}=6\cdot \dfrac{3}{2}=9$ miles.

If $t=9$ hours, then $D=6\cdot 9=54$ miles.

If $t=4\dfrac{1}{2}$ hours, then $D=6\cdot 4\dfrac{1}{2}=6\cdot \dfrac{9}{2}=27$ miles.

So, the table is

$\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}$

3 0

3 years ago

Read 2 more answers