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3 years ago

I need help on number 6

Mathematics

1 answer:

taurus [48]3 years ago

7 0

Answer:

x = 0

Step-by-step explanation:

First we set up our equation. From the picture we can see that:

11 + x + 1 = 2x + 12

Now we can gather our like terms:

x + 12 = 2x + 12

Lets subtract x from both sides to isolate the x on the left:

12 = x + 12

Next we subtract 12 from both sides

x = 0

Check the answer

11 + 0 + 1 = 2(0) + 12

12 = 0 + 12

12 = 12

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Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.

Sphinxa [80]

Answer: $(r-s)^{2} = 28$

Step-by-step explanation:

$x^{2} -6x+9=-2+9$
$(x-3)^{2}=7$
$(x-3)= -\sqrt{7}$ or $\sqrt{7}$ <-- there's no plus/minus sign.

$(x-3) = -\sqrt{7}$
$x = 3 -\sqrt{7}$ <-- root.

$(x-3) = \sqrt{7}$
$x = 3+\sqrt{7}$ <-- root.

$[(3-\sqrt{7})-(3+\sqrt{7})]^{2}$
$(3-\sqrt{7} -3 - \sqrt{7})^{2}$ <-- don't forget to distribute the negative.
$(-2\sqrt{7})^{2}$
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2 years ago

Instructions: Find the measure of the indicated angle to the nearest

SVETLANKA909090 [29]

To find the indicated angle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from the angle, we know the adjacent side and the hypotenuse. Therefore, we should use cosine to solve.

cos(x) = 12/36

x = cos^-1(12/36)

x = 71 degrees

Hope this helps!

6 0

2 years ago

Question: How long does it take an investment to quadruple in value if it earns 4% simple interest per year?

Assoli18 [71]

Answer:

It takes 75 years for the investment to quadruple in value

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$

In this question:

4% simple interest per year, so I = 0.04.

Quadruple:

t when T = 4P.

The interest earned is:

$T = E + P$

$4P = E + P$

$E = 3P$

Now we find the time.

$E = P*0.04*t$

$3P = P*0.04*t$

$0.04t = 3$

$t = \frac{3}{0.04}$

$t = 75$

It takes 75 years for the investment to quadruple in value

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2 years ago

Vertex of y= (x +4) ^2+ 2

Igoryamba

Answer:

the vertex is (-4,2)

Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

hope this helps <3

brainliest plz? :)

and also have a good day :)

3 0

2 years ago

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