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3 years ago

Pls need to know ASAP

Mathematics

1 answer:

zzz [600]3 years ago

3 0

Answer:

-31

Step-by-step explanation:

-34 - -17 is actually -34 + 17, so you get -17. -17 - 14 = -31

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Diego is solving the equation x^2-12x = 21

uysha [10]

Answer:

The solutions to the quadratic equations will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

Step-by-step explanation:

Given the expression

$x^2-12x\:=\:21$

Let us solve the equation by completing the square

$x^2-12x\:=\:21$

Add (-6)² to both sides

$x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2$

simplify

$x^2-12x+\left(-6\right)^2=57$

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

$x^2-12x+\left(-6\right)^2=\left(x-6\right)^2$

so the expression becomes

$\left(x-6\right)^2=57$

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

solve

$x-6=\sqrt{57}$

add 6 to both sides

$x-6+6=\sqrt{57}+6$

Simplify

$x=\sqrt{57}+6$

also solving

$x-6=-\sqrt{57}$

add 6 to both sides

$x-6+6=-\sqrt{57}+6$

Simplify

$x=-\sqrt{57}+6$

Therefore, the solutions to the quadratic equation will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

5 0

3 years ago

Hannah is a photographer who specializes in portraits. This morning, she spent four hours doing graduation portrait sessions. In

stiv31 [10]

Answer:

graduation

Step-by-step explanation:

6 0

3 years ago

A certain small factory employs 98 workers of these 10 recieve a wage of 150 dollars per day and the rest recieve 85.50 dollars

cricket20 [7]

10 × $150 = $1500
88 × $85.50 = $7524
1500 + 7524 = $9024 a day.
9024 × 6 = $54,144 (the answer)
Hope this helps!

4 0

3 years ago

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What happens to the image of a figure that is rotated 90° counterclockwise?

Paul [167]

I think the answer is A

6 0

3 years ago

Which statement proves that parallelogram KLMN is a rhombus?

IrinaVladis [17]

Answer:

It is the last option.

Step-by-step explanation:

The diagonals of a rhombus (KM and NL ) are perpendicular. That is shown by the diagonals having slopes of 1 and -1.

Recall that when 2 lines are perpendicular then m1 * m2 = -1 , where m1 and m2 are the slopes of the lines.

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3 years ago

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