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3 years ago

How many solutions does the following equation have? -7x + 3 = 2x + 2 - 9x *

Mathematics

1 answer:

rjkz [21]3 years ago

6 0

Answer:

no solutions because you would get an outcome of a not real world problem

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What equation represents a parabola with a focus of (0,4) and a directrix of y=2

scZoUnD [109]

We know that

Any point <span>(x,y)</span> on the parabola is equidistant from the focus and the directrix

Therefore,

focus (0,4) and directrix of y=2

<span>√[<span>(x−0)</span></span>²+(y−4)²]=y−(2)

<span>√[x</span>²+(y-4)²]=y-2

x²+(y-4)²=(y-2)²

x²+y²-8y+16=y²-4y+4

x²=4y-12-----> 4y=x²+12----->y= (x²/4)+3

the answer is

y= (x²/4)+3

7 0

3 years ago

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adelina 88 [10]

Answer:

Step-by-step explanation:

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8 0

2 years ago

Quick picture to find 3 x 2.7

Sav [38]

The answer is 8.1
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8 0

3 years ago

Which is the completely factored form of 12x3 – 60x2 4x – 20? 4(3x2 – 1)(x – 5) 4x(3x2 1)(x – 5) 4x(3x2 – 1)(x 5) 4(3x2 1)(x – 5

Neporo4naja [7]

The factors of the polynomial are $\rm 4(3x^2 + 1)(x-5)$ .

<h3>Factorization;</h3>

Factorization is nothing but writing a number as the product of smaller numbers.

Given

Polynomial; $\rm 12x^3 - 60x^2 + 4x -20$

To find the factorization the polynomial equates the equation with zero following all the steps given below.

Then,

The factor of the polynomial is;

$\rm 12x^3 - 60x^2 + 4x -20\\\\ 12x^3(x-5)+4(x-5)\\\\(12x^3+4)(x-5)\\\\ 4(3x^2 + 1)(x-5)$

Hence, the factors of the polynomial are $\rm 4(3x^2 + 1)(x-5)$ .

To know more about factorization click the link given below.

brainly.com/question/17595467

4 0

2 years ago

A carpenter is constructing staircase in a house. The distance from the floor to the basement is 10.8 feet. The staircase will b

konstantin123 [22]

Answer:

$\theta = 40.59^\circ$

Step-by-step explanation:

Given

The question is illustrated with the attached image

Required

Find $\theta$

To do this, we use sine formula

i.e.

$\sin(\theta) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(\theta) = \frac{10.8}{16.6}$

$\sin(\theta) = 0.6506$

Take arc sin

$\theta = \sin^{-1}(0.6506)$

$\theta = 40.59^\circ$

4 0

2 years ago