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3 years ago

10pts FOR WHEVER ANWSERS ASAP PLZ!!

Mathematics

1 answer:

mojhsa [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Both sides of equation are the same, making the amount of solutions infinite.

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Convert to factored form y = x² + 6x

steposvetlana [31]

Convert to factored form is:

$y = x(x + 6)$

Solution:

Given that,

$y = x^2 + 6x$

We have to convert to factored form

Factored form means writing terms in multiplication. i.e as a product

From given,

$y = x^2 + 6x$

Factor out x from above given expression

$y = x(x + 6)$

Here, the given equation is written as product of "x" and (x + 6)

Thus the factored form is found

8 0

3 years ago

Simplify the algebraic expression: 2(y + 5) + 3y - 4

love history [14]

Answer:

2y +10 +3y-4

5y+6

Step-by-step explanation:

6 0

2 years ago

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[tex]cos {}^{4} α+sin {}^{4} α= \frac{1}{4} (3+cos4α) Prove:

asambeis [7]

Given:

$\cos^4 \alpha+\sin^4\alpha=\dfrac{1}{4}(3+\cos 4 \alpha)$

To prove:

The given statement.

Proof:

We have,

$\cos^4 \alpha+\sin^4\alpha=\dfrac{1}{4}(3+\cos 4 \alpha)$

$LHS=\cos^4 \alpha+\sin^4\alpha$

$LHS=(\cos^2 \alpha)^2+(\sin^2 \alpha)^2$

$LHS=(\cos^2 \alpha+\sin^2\alpha)^2-2\sin ^2\alpha\cos^2 \alpha$ $[\because a^2+b^2=(a+b)^2-2ab]$

$LHS=(1)^2-2(1-\cos^2 \alpha)\cos^2 \alpha$ $[\because \cos^2 \alpha+\sin^2\alpha=1]$

$LHS=1-2\cos^2 \alpha+2\cos^4 \alpha$

Now,

$RHS=\dfrac{1}{4}(3+\cos 4 \alpha)$

$RHS=\dfrac{1}{4}[3+(2\cos^2 2\alpha-1)]$ $[\because \cos 2\theta=2\cos^2\theta -1]$

$RHS=\dfrac{1}{4}[2+2\cos^2 2\alpha]$

$RHS=\dfrac{1}{4}[2+2(2\cos^2 \alpha-1)^2]$ $[\because \cos 2\theta=2\cos^2\theta -1]$

$RHS=\dfrac{1}{4}[2+2(4\cos^4 \alpha-4\cos \alpha+1)]$ $[\because (a-b)^2=a^2-2ab+b^2]$

$RHS=\dfrac{1}{4}[2+8\cos^4 \alpha-8\cos \alpha+2]$

$RHS=\dfrac{1}{4}[4+8\cos^4 \alpha-8\cos \alpha]$

$RHS=1+2\cos^4 \alpha-2\cos \alpha$

$RHS=1-2\cos^2 \alpha+2\cos^4 \alpha$

$LHS=RHS$

Hence proved.

8 0

3 years ago

PLEASE HELP a right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded re

UNO [17]

Answer:

56m²

Step-by-step explanation:

First, find the area of the entire rectangle:

10 × 8 = 80

Then, find the area of the triangle:

1/2(6)(8) = 24

Finally, subtract the two areas to find the shaded area:

80 - 24 = 56

3 0

3 years ago

Select the correct answer from each drop-down menu.

GrogVix [38]

Answer:

The answer to your question is x-axis, y-axis

Step-by-step explanation:

To answer this question just remember the equation of the slope

m = $\frac{y2 - y1}{x2 - x1}$

Then:

If the numerator is zero, the line is parallel to the x-axis and the slope will be zero.

If the denominator is zero, the line is parallel to the y-axis and the slope will be undefined.

4 0

3 years ago

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