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Alla [95]
3 years ago
5

Help pls this is for my math test

Mathematics
2 answers:
Minchanka [31]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Brainlist pls

MAVERICK [17]3 years ago
5 0

Answer:

The answer is A. 7 3/4 cubic feet

Step-by-step explanation:

Hope this helps and that you have an amazing day. Also, can I pleeease get brainliest? If not it ok. :)

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Using the given information, give the vertex form equation of each parabola.
Amanda [17]

Answer:

The equation of parabola is given by : (x-4) = \frac{-1}{3}(y+3)^{2}

Step-by-step explanation:

Given that vertex and focus of parabola are

Vertex: (4,-3)

Focus:(\frac{47}{12},-3)

The general equation of parabola is given by.

(x-h)^{2} = 4p(y-k), When x-componet of focus and Vertex is same  

(x-h) = 4p(y-k)^{2}, When y-componet of focus and Vertex is same

where Vertex: (h,k)

and p is distance between vertex and focus

The distance between two points is given by :

L=\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}

For value of p:

p=\sqrt{(X2-X1)^{2}+(Y2-Y1)^{2}}

p=\sqrt{(4-\frac{47}{12})^{2}+((-3)-(-3))^{2}}

p=\sqrt{(\frac{1}{12})^{2}}

p=\frac{1}{12} and p=\frac{-1}{12}

Since, Focus is left side of the vertex,

p=\frac{-1}{12} is required value

Replacing value in general equation of parabola,

Vertex: (h,k)=(4,-3)

p=\frac{-1}{12}

(x-h) = 4p(y-k)^{2}

(x-4) = 4(\frac{-1}{12})(y+3)^{2}

(x-4) = \frac{-1}{3}(y+3)^{2}

8 0
3 years ago
What is the answer to 5+5(x+4)≤20?
Nata [24]
5+5\left( x+4 \right) \le 20\\ \\ 5\left\{ 1+\left( x+4 \right)  \right\} \le 20\\ \\ \frac { 1 }{ 5 } \cdot 5\left\{ 1+\left( x+4 \right)  \right\} \le 20\cdot \frac { 1 }{ 5 }

\ \\ 1+\left( x+4 \right) \le 4\\ \\ 1+x+4\le 4\\ \\ x+5\le 4\\ \\ x\le 4-5\\ \\ x\le -1
7 0
4 years ago
Read 2 more answers
Find g(4x)<br> g(x)=x²-4
7nadin3 [17]

Answer:

g(x) = x² - 4 is already in form of a variable, I.e., x

g(4x) takes another variable, I.e., 4x

Same as before, 4x takes over x:

=> g(4x) = (4x)² - 4

  • <em>(</em><em>ax</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>a</em><em>²</em><em>x</em><em>²</em><em>,</em><em> </em><em>where</em><em> </em><em>a</em><em> </em><em>is</em><em> </em><em>some</em><em> </em><em>arbitrary</em><em> </em><em>constant</em><em>.</em><em> </em>

<h3><u>Answer</u><u>:</u> </h3>

=> g(4x) = 16x² - 4

OR

=> g(4x) = 4{4x² - 1}

3 0
3 years ago
Read 2 more answers
What is the sum of the measures of interior angles ofna regular polygon if each exterior angle measures 72°?
WARRIOR [948]
We know that

The exterior angle measures of a polygon must add up to 360°, 

therefore

 360°/72°=5 exterior angles

so

5 exterior angles, would mean 5 interior angles and therefore  5 sides to the polygon

The exterior angle and the interior angle of any polygon are supplementary and must add up to 180°.

exterior angle+interior angle=180°

interior angle=180°-exterior angle

interior angle=180°−72°-------> 108°
Each interior angle is 108°

The sum of the interior angles would be 

5*108°=540°

the answer is

540°

5 0
3 years ago
&lt;CAB=&lt;CDE,<br>AC=4cm, DC=5cm and<br>DE=7cm. Determine the<br>length of sides AB of<br>∆ABC.​
Degger [83]

this is the answer you can try it to see if it works

3 0
2 years ago
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