What multiplys to be 12 but adds to be 7

Answers

Answer 1

Answer: xy = 12
x + y = 7

x + y = 7
x - x + y = -x + 7
y = -x + 7

  xy = 12
  x(-x + 7) = 12
  x(-x) + x(7) = 12
-x² + 7x = 12
  -x² + 7x - 12 = 0
-1(x²) - 1(-7x) - 1(12) = 0
-1(x² - 7x + 12) = 0
-1 -1
x² - 7x + 12 = 0
x² - 4x - 3x + 12 = 0
  x(x) - x(4) - 3(x) -3(-4) = 0
x(x - 4) - 3(x - 4) = 0
  (x - 3)(x - 4) = 0
x - 3 = 0 or x - 4 = 0
+ 3 + 3 + 4 + 4
x = 3 x = 4

x + y = 7
3 + y = 7
- 3 - 3
y = 4
(x, y) = (3, 4)

or

x + y = 7
4 + y = 7
- 4 - 4
y = 3
(x, y) = (4, 3)

The two numbers that mutliplies to 12 and add up to 7 are 3 and 4.

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If x = 8 units, y = 6 units, and h = 4 units, then what is the area of the parallelogram shown above? A. 24 square units B. 32 square units C. 28 square units D. 48 square units

Answers

Answer:

Step-by-step explanation:

Divide r+5/ r^2+5r-14 by r^2+4-21/r-2

Answers

So we want to divide $(r+5)/(r^2+5r-14)$ by $(r^2+4r-21)/(r-2)$ .
The first thing we are going to do is factor the denominator of the first fraction and the denominator of the second one:
- For our first fraction:
$r^2+5r-14=(r+7)(r-2)$
Now we can rewrite our first fraction:
$(r+5)/(r^2+5r-14) = (r+5)/((r+7)(r-2))$
- For our second fraction:
$r^2+4r-21=(r+7)(r-3)$
Now we can rewrite our second fraction:
$(r^2+4r-21)/(r-2) = ((r+7)(r-3))/(r-2)$

Last but not least, we can express our division as a fraction and simplify:
$((r+5)/((r+7)(r-2)))/( ((r+7)(r-3))/(r-2)) = ((r+5)(r-2))/((r+7)(r-2)(r+7)(r-3)) = (r+5)/((r+7)^2(r-3))$

We can conclude that the result of dividing r+5/ r^2+5r-14 by r^2+4r-21/r-2 is: $(r+5)/((r+7)^2(r-3))$

2 + 31 x 1/10 + 14 x 1/100 or 2.324 which is bigger

Answers

Answer:

Step-by-step explanation:

2 + 31 x 1/10 + 14 x 1/100

= 2 + 31/10 + 14/100

= 200/100 + 310/100 + 14/100

=524/100

=5.24 > 2.324

Help I’ll give Brainliest
What is the solution to the system of equations graphed below

Answers

It’s answer b, I hope this helped :)

Answer:

D) (0, -4)

Step-by-step explanation:

the solution is the point at which the two lines intersect

84-63i in conjugate form?.

Answers

Conjugate form of complex number:
z = a + b i is a - b i
and for : z = a - b i is : a + b i
Conjugate form of 84 - 63 i is : 84 + 63 i

Based on these data, are "being female" and "earning over $50,000" independent events?

Answers

Based on these data, are "being female" and "earning over $50,000" independent events. They are independent events because by being female does not mean they could earn $50,000. It would depend on how the females work their way to earn that kind of money.

Answer:

D, No, P(being female | the person earns over $50,000) ≠ P(being female)

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