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4 years ago

Which set of measurements will form a unique triangle?

Mathematics

2 answers:

Allushta [10]4 years ago

8 0

Answer:

Step-by-step explanation:

Take the first two numbers (60 and 60) and add them, then compare it to the last number (60). If the answer from adding is greater than the 3rd number, you have your answer :) Hope this helps!

julsineya [31]4 years ago

3 0

Answer:

Step-by-step explanation:

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3x + 1 = 5X-13 if anyone knows what to do can they please help

Elza [17]

Answer:

x = 7

Step-by-step explanation:

First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).

If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.

I like to start by subtracting the variable term with the smallest coefficient. Here, that is 3x, so we add -3x to both sides of the equation.

3x -3x +1 = 5x -3x -13

1 = 2x -13 . . . . . . . . . . . . combine like terms

Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:

1 +13 = 2x -13 +13

14 = 2x . . . . . . . . . . . . combine like terms

Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.

(1/2)(14) = (1/2)(2x)

7 = x . . . . the solution

It is generally a good idea to check your work by seeing if your solution value satisfies the equation:

3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation

21 +1 = 35 -13

22 = 22 . . . . . . x = 7 is the solution

_____

Additional comment

By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...

-2x +1 = -13

Subtracting 1 would give

-2x = -14

and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.

5 0

4 years ago

What is the exact circumference of the circle?

Delicious77 [7]

For this case, we have that by definition, the circumference of a circle is given by:

$C = \pi * d$

Where:

d: Is the diameter of the circle given by 2r, that is, twice the radius.

If we have a circle with a diameter equal to 8cm, then the circumference is given by:

$C = \pi * 8 \ cm$

ANswer:

Option C

$8 \pi \ cm$

8 0

3 years ago

Read 2 more answers

Find the value of x.

Gnoma [55]

Answer:

x = 10

Step-by-step explanation:

Since the triangle is right use the sine ratio to find x

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{5}{x}$

cross- multiply

x × sin30° = 5 ( sin30° = 0.5 )

0.5x = 5 ( divide both sides by 0.5 )

x = 10

5 0

3 years ago

Read 2 more answers

For a function p(x)= x^2-9, what is the inverse function for the domain [0, infinity\

kkurt [141]

An inverse function is a function that reverses another function, so we have a function called:

$p(x)$

Then, the inverse function will be as follows:

$p^{-1}(x)$

Given that $y = p(x)$ , we need to isolate x in terms of y:

$y = x^{2} -9$
∴ $y+9 = x^{2}$

So:

$x=+\sqrt{y+9}$ and $x=-\sqrt{y+9}$

therefore, exchanging variables x and y:

$y=+\sqrt{x+9}$ and $y=-\sqrt{x+9}$
$p^{-1}(x)=+\sqrt{x+9}$ and $p^{-1}(x)=-\sqrt{x+9}$

Which are the figures shown below.

7 0

4 years ago

<img src="https://tex.z-dn.net/?f=6%20%5Ctimes%20x%20%3D%20%20-%2024" id="TexFormula1" title="6 \times x = - 24" alt="6 \times

Finger [1]

The missing number is 4

8 0

4 years ago