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Ksju [112]
3 years ago
7

-12x2 + 45x + 12

Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Answer:

3(4x + 1)(x - 4) Answer choice B

Step-by-step explanation:

-12x^2 + 45 + 12

You would take out the -3 in the equation.

-3(4x^2 -15x - 4)

You can then multiply the first 4 and the last -4 and get a -16. You can then find two numbers that would multiply to -16 and add to -15.

You would do this by listing the factors of -16, which the numbers 1 and -16 would work.

You would then substitute each value in for the 17x and add them together, which this is just separating the value 17x.

3(4x^2 - 16x + x - 4)

3(4x^2 - 16x)(x - 4)

You can then take ou ta four for the first function in the parentheses.

3(4x(x - 4) 1(x - 4))

Then you take the function from the outside and the inside.

3(4x + 1)(x - 4)

The answer to the question would be B.

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-1/5a+21=23 whats the answer
sp2606 [1]

Answer:

A =  -10

Step-by-step explanation:

Combine multiplied terms into a single fraction find common denominator etc etc.

6 0
2 years ago
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Martin wants to use coordinate geometry to prove that the opposite sides of
romanna [79]

The correct answer is option A which is the distance between A and D will be  AD = \sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b.

<h3>What is coordinate geometry?</h3>

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

The formula utilised to find the distance between two points is;-

X = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

We have the coordinates of the point A = (0, 0) and D is  (0, b).By applying the formula to find the distance between A and D.

AD = \sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b.

Therefore the correct answer is option A which is the distance between A and D will be  AD = \sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b.

To know more about Coordinate geometry follow

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4 0
2 years ago
P-21=34 P=34-21 P=13<br>What is the value of p?<br>​
vredina [299]

Simplifying

P + -21 + -21 = 34 + -21  

-21 + -21 + P = 34 + -21

Combine like terms: -21 + -21 = -42

-42 + P = 34 + -21

Combine like terms: 34 + -21 = 13

-42 + P = 13

Solving

-42 + P = 13

Solving for variable 'P'.

Move all terms containing P to the left, all other terms to the right.

Add '42' to each side of the equation.

-42 + 42 + P = 13 + 42

Combine like terms: -42 + 42 = 0

0 + P = 13 + 42

P = 13 + 42

Combine like terms: 13 + 42 = 55

P = 55

Simplifying

P = 55

3 0
3 years ago
A product that is a chemically bonded combination of reactants will form in which type of reaction? Select three options.
alex41 [277]

Answer: synthesis

polymerization

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Step-by-step explanation:

3 0
2 years ago
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The equation of a parabola is given.y=1/8x^2+4x+20 What are the coordinates of the focus of the parabola?
Lena [83]
He equation of a parabola is x = -4(y-1)^2. What is the equation of the directrix? 
<span>You may write the equation as </span>
<span>(y-1)^2 = (1) (x+4) </span>
<span>(y-k)^2 = 4p(x-h), where (h,k) is the vertex </span>
<span>4p=1 </span>
<span>p=1/4 </span>
<span>k=1 </span>
<span>h=-4 </span>

<span>The directrix is a vertical line x= h-p </span>
<span>x = -4-1/4 </span>
<span>x=-17/4 </span>

<span>------------------------------- </span>
<span>What is the focal length of the parabola with equation y - 4 = 1/8x^2 </span>
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<span>The vertex is (0,4) </span>
<span>4p=8 </span>
<span>p=2 (focal length) -- distance between vertex and the focus </span>
<span>------------------------------- </span>
<span>(y-0)^2 = (4/3) (x-7) </span>
<span>vertex = (7,0) </span>
<span>4p=4/3 </span>
<span>p=1/3 </span>
<span>focus : (h+p,k) </span>
<span>(7+1/3, 0)</span>
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