45 points! x+1(8+5)+y2-3(x3+y-4)=36-4+x7-y-1 pls i need help now!

Which of the following are solutions to the equation below?

scoundrel [369]

Answer:

The correct options for the solution values are:

$x=2\sqrt{2}-5$

$x=-2\sqrt{2}-5$

Step-by-step explanation:

Given the expression

$x^2+10x+25=8$

Subtract 25 from both sides

$x^2+10x+25-25=8-25$

Simplify

$x^2+10x=-17$

Add 25 or 5² to both sides

$x^2+10x+5^2=8$

as

$x^2+10x+5^2=\left(x+5\right)^2$

so the expression becomes

$\left(x+5\right)^2=8$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x+5=\sqrt{8}$

Subtract 5 from both sides

$x+5-5=2\sqrt{2}-5$

$x=2\sqrt{2}-5$

solve

$x+5=-\sqrt{8}$

Subtract 5 from both sides

$x+5-5=-2\sqrt{2}-5$

$x=-2\sqrt{2}-5$

Therefore, the solution to the equation

$x=2\sqrt{2}-5,\:x=-2\sqrt{2}-5$

Hence, the correct options for the solution values are:

$x=2\sqrt{2}-5$

$x=-2\sqrt{2}-5$

6 0

2 years ago

The rule in this pattern is add 3. Write the next 4 terms of the pattern. What do you observe about the terms in the pattern? Ex

Afina-wow [57]

If the rule for this pattern is add 3, you would take term 1 which had 5 dots then add 3, that makes term 2 have 8 dots, than add 3 that means term 3 has 11 dots, term four would have 14, and each term after that would have 3 more

8 0

2 years ago

Work ou the value of 19+7÷2-5 helllppp pls

damaskus [11]

Answer:

17 1/2

Step-by-step explanation:

19+7÷2-5

Solve using PEMDAS

Divide first

19 + 7/2 -5

Then add and subtract from left to right

Getting a common denominator

38/2 + 7/2 - 10/2

45/2 - 10/2

35/2

17 1/2

3 0

2 years ago

What is the slope of this graph?

scoray [572]

Answer:

2/3

Step-by-step explanation:

Hope this helps you

3 0

2 years ago

What is the length of the unknown side of the right triangle?

DerKrebs [107]

Answer:

13

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem

$a^2+b^2=c^2$

where a and b are the legs and c is the hypotenuse.

We know that the legs are 5 and 12. We also know the hypotenuse is x, or unknown.

Substitute 5 in for a, 12 for b, and x for c.

$5^2+12^2=x^2$

Evaluate the exponents.

5^2 is the same as 5*5, which is 25.

12^2 is the same as 12*12, which is 144.

$25+144=x^2$

Add 25 and 144

$169=x^2$

We are trying to find out what x is. In order to do this, we have to get x alone. Since x is being squared, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.

$\sqrt{169} =\sqrt{x^2} \\\\\sqrt{169}=x\\13=x$

The hypotenuse is 13.

4 0

2 years ago

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