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MA_775_DIABLO [31]

2 years ago

15

If 10 is reduced by 4 times what will be the answer?? I'm bit confused.....help me out....

1 answer:

babunello [35]2 years ago

3 0

I don't really understand the question

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Find the value of x.

Artemon [7]

I believe it is 83 because a straight line is 180 degrees

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3 years ago

What Is the answer please

Anton [14]

Which one 11 or 13. it be easier to know

5 0

2 years ago

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Help!! 50 points and brainliest!

Viktor [21]

Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

$x=t+1$

$y=t^2+4t$

Step-by-step explanation:

Let's look at choice 1.

$x=t+1$

$y=t^2+2t$

I'm going to subtract 1 on both sides for the first equation giving me $x-1=t$ . I will replace the $t$ in the second equation with this substitution from equation 1.

$y=(x-1)^2+2(x-1)$

Expand using the distributive property and the identity $(u+v)^2=u^2+2uv+v^2$ :

$y=(x^2-2x+1)+(2x-2)$

$y=x^2+(-2x+2x)+(1-2)$

$y=x^2+0+-1$

$y=x^2$

So this not the desired result.

Let's look at choice 2.

$x=2t$

$y=4t^2+4t-3$

Solve the first equation for $t$ by dividing both sides by 2:

$t=\frac{x}{2}$ .

Let's plug this into equation 2:

$y=4(\frac{x}{2})^2+4(\frac{x}{2})-3$

$y=4(\frac{x^2}{4})+2x-3$

$y=x^2+2x-3$

This is the desired result.

Choice 3:

$x=t-3$

$y=t^2+2t$

Solve the first equation for $t$ by adding 3 on both sides:

$x+3=t$ .

Plug into second equation:

$y=(x+3)^2+2(x+3)$

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

$y=(x^2+6x+9)+(2x+6)$

$y=(x^2)+(6x+2x)+(9+6)$

$y=x^2+8x+15$

Not the desired result.

Choice 4:

$x=t^2$

$y=2t-3$

I'm going to solve the bottom equation for $t$ since I don't want to deal with square roots.

Add 3 on both sides:

$y+3=2t$

Divide both sides by 2:

$\frac{y+3}{2}=t$

Plug into equation 1:

$x=(\frac{y+3}{2})^2$

This is not the desired result because the $y$ variable will be squared now instead of the $x$ variable.

Choice 5:

$x=t+1$

$y=t^2+4t$

Solve the first equation for $t$ by subtracting 1 on both sides:

$x-1=t$ .

Plug into equation 2:

$y=(x-1)^2+4(x-1)$

Distribute and use the binomial square identity used earlier:

$y=(x^2-2x+1)+(4x-4)$

$y=(x^2)+(-2x+4x)+(1-4)$

$y=x^2+2x+-3$

$y=x^2+2x-3$ .

This is the desired result.

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%28x%20-%207%29%28x%20-%205%29" id="TexFormula1" title="(x - 7)(x - 5)" alt="(x - 7)(x - 5)" a

Rufina [12.5K]

$\huge\textsf{Hey there!}$

$\large\textsf{(x - 7) (x - 5)}$

$\large\text{DISTRIBUTE each of the numbers}$

$\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}$

$\large\textsf{x(x) = \bf x}\bf ^2$

$\large\textsf{x(-5) = \bf -5x}$

$\large\textsf{-7(x) = \bf -7x}$

$\large\textsf{(-7)(-5) = \bf 35}$

$\mathsf{x^2 - 5x -7x + 35}$

$\large\text{COMBINE the LIKE TERMS}$

$\mathsf{x^2 -(5x - 7x) + 35}$

$\mathsf{-5x -7x = \bf -12x}$

$\mathsf{x^2 - 12x + 35}$

$\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark$

$\large\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitirite1040:)}$

3 0

3 years ago

Read 2 more answers

What is the value of x in this figure?

8090 [49]

This is a 45-45-90 triangle and the ratios of the sides are 1 : 1 : sqrt2 where sqrt2 is the length of the hypotenuse ( longest side)

So the measure of x = 12 sqrt2 which is the first choice.

4 0

3 years ago