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3 years ago

This is my last question. Please help me!

Mathematics

1 answer:

sesenic [268]3 years ago

3 0

Okay so first you want to simplify the given equation (7x+3y)(7x-3y)

in order to do this you multiply the first number of the first equation (7x) with the first number of the second equation (7x) this gives you 49x^2

Now you want to multiply the second number of the first equation (3y) by the second number of the second equation (-3y) this gives you -9y^2

Its as easy as pie!

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Find the standard form of the equation for the conic section represented by x^2 + 10x + 6y = 47.

Levart [38]

Answer:

The standard form of the equation for the conic section represented by $x^2\:+\:10x\:+\:6y\:=\:47$ is:

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

Step-by-step explanation:

We know that:

$4p\left(y-k\right)=\left(x-h\right)^2$ is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

$x^2\:+\:10x\:+\:6y\:=\:47$

Rewriting the equation in the standard form

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

Thus,

The vertex (h, k) = (-5, 12)

Please also check the attached graph.

Therefore, the standard form of the equation for the conic section represented by $x^2\:+\:10x\:+\:6y\:=\:47$ is:

$4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2$

where

vertex (h, k) = (-5, 12)

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2 years ago

State the requirements that must be satisfied to use the one-way ANOVA procedure. Select all that apply. A. The k samples must

Sergeu [11.5K]

Answer:

The correct option are: (A), (B), (C) and (E).

Step-by-step explanation:

The One-Way ANOVA is a statistical test used to compare the three or more population means.

The hypothesis is:

<em>H</em>₀: The population means are equal, i.e. μ₁ = μ₂ = μ₃ =...= μₙ

<em>H</em>ₐ: At least one of the population mean differ.

The Assumptions of One-way ANOVA are:

The samples selected from each population are independent of each other.
The population distribution of the dependent variables follow Normal distribution.
The population variances are always equal for all the groups.

Thus, the correct option are: (A), (B), (C) and (E).

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2 years ago

Two gears in a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first gear has

scoray [572]

Answer:

The firstgear needs to make five revolutions in order for the marks to line up again.

Step-by-step explanation:

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2 years ago

Hey guys please help with both

podryga [215]

1/2 *(a+b)-(a-b)²
a=18, b=14
1/2 *(18+14)-(18-14)²=1/2 *(18+14)-(18-14)²= 1/2*32-4²=16-16=0
answer D

answer B
2 factors have 2 terms: (x+4) and (y+4)

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3 years ago

X/2-7 is rational algebra expression or irrational?

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Answer:

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