What 2 numbers multiply to be -14 and add to be -3

Answers

Answer 1

Answer: xy = -14
x + y = -3

$xy = -14$
$(xy)/(x) = (-14)/(x)$
$y = (-14)/(x)$

$x + y = -3$
$x + (-14)/(x) = -3$
$(x^(2))/(x) + (-14)/(x) = -3$
$(x^(2) - 14)/(x) = -3$
$x^(2) - 14 = -3x$
$x^(2) + 3x - 14 = 0$
$x = \frac{-(3) \± \sqrt{(3)^(2) - 4(1)(-14)}}{2(1)}$
$x = (-3 \± √(9 + 56))/(2)$
$x = (-3 \± √(65))/(2)$
$x = (-3 \± 8.06)/(2)$
$x = -1.5 \± 4.03$
$x = -1.5 + 4.03$ $or$ $x = -1.5 - 4.03$
$x = 2.53$ $or$ $x = -5.53$

  x + y = -3
2.53 + y = -3
- 2.53 - 2.53
  y = -5.53
  (x, y) = (2.53, -5.53)

x + y = -3
  -5.53 + y = -3
+ 5.53   + 5.53
  y = 2.53
  (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.

Answer 2

Answer:

Answer:

number one is corout

Step-by-step explanation

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The area of a sector of the circle with an arc measure of 45 degree and with a radius of 4 is?
A four-sided shape with the top side labeled as 10.2 cm. The height is labeled 5 cm. A portion of the base from the perpendicular to a vertex is labeled 4 cm. The portion of the base from the perpendicular to the right vertex is 6.2 cm.What is the area of the figure?25.5 cm245.5 cm251 cm256.1 cm2
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Find the three cube roots of the complex number 8i. Give your answers in the form x + iy

Answers

8i is:
z = 8(cos(90) + i sin(90)) ; now take the 1/3 power of it.

When we take this to a normal integer power of 3 we get:

z^3 = 8^3(cos(90*3) + i sin(90*3)) right? its the same for rational exponents as well.

z^(1/3) - 2(cos(90/3) + i sin(90/3))

90/3 = 30; the cos(30)=sqrt(3)/2 and the sin(30) = 1/22(sqrt(3)/2 + i 1/2) = sqrt(3) + 1i should be one of the cube roots.

(sqrt(3) + i)^2 = 2 +2sqrt(3) i
(sqrt(3)+i) (2 +2sqrt(3)i
2sqrt(3) + 6i +2i -2sqrt(3) = 8i

Justin was asked to write equations based on the triangle below. So far he has come up with the following equations: Which of the following would be another correct equation?

Answers

Answer:

C: tan 60 = √3

Step-by-step explanation:

Let the adjacent part of the triangle be x and let the opposite side be y.

Thus, from trigonometric ratios;

x/10 = cos 60

We are given cos 60 = ½

Thus;

x/10 = ½

x = ½ × 10

x = 5

Similarly;

y/10 = sin 60

Now,from trigonometric relationship we know that; sin 60 = cos 30. Thus;

y/10 = cos 30

We are given cos 30 = (√3)/2

Thus;

y/10 = (√3)/2

y = 10 × (√3)/2

y = 5√3

Since it is a right angle triangle with one angle being 60°, it means the other one is 30° since sum of angles in a triangle is 180°.

Thus;

5/(5√3) = tan 30°

1/√3 = tan 30

Similarly;

5/10 = sin 60°

sin 60° = ½

Also;

tan 60 = (5√3)/5

tan 60 = √3

Also;

sin 30 = 5/10

sin 30 = ½

Looking at the options, the only correct one is Option C

Simplify each side of the following equation before applying the addition propertyx − 9 + 6 = −5 − 4

Answers

-9+6 = -3
-5 - 4= -9
so it's
x-3=-9 OR
x=-6

X-9+6=-5-4
x-3=-9
x=-6

You have $59.95 in your wallet and want to buy some new CDs. If the CDs are $11.99 each, what number of CDs, x, can you buy? Write and solve an inequality.

Answers

x - number of CDs;
An inequality is:
x · $11.99 ≤ $59.95
x ≤ $59.95 : $11.99
x ≤ 5
Answer:
5 CDs

Answer:

number of CDs can you buy is 5 or less than 5

Step-by-step explanation:

Here, x represents the number of CDs buy.

As per the statement:

If the CDs are $11.99 each

⇒Cost of x CDs = 11.99x

It is also given that:

You have $59.95 in your wallet and want to buy some new CDs

⇒ $11.99x \leq 59.95$

We get an inequality:

$11.99x \leq 59.95$

Solve for x:

Divide both sides by 11.99 we have;

$x \leq (59.95)/(11.99) = 5$

$x \leq 5$

Therefore, number of CDs can you buy is : $x \leq 5$

Rewrite 13 over 9 as a mixed number

Answers

Answer: 1 and 4/9

Explanation: To write 13/9 as a mixed number, we divide 9 into 13.

9 divides into 13 once so we put a 1 above the 3.

1 x 9 is 9 and 13 - 9 is 4.

So 9 divides into 13 one time with a remainder of 4.

This means that 13/9 can be rewritten as the mixed number 1 and 4/9.

The answer would be 1 and 5/10 because if you divide 13 by nine you get 1.4 which translates to 1 and 4/10. And you can reduce 4/10 by 2 making it 2/5. As a result, your final answer will be 1 and 2/5.

HELP ME ASP I NEED A GOOD GRADE ON THIS.

Answers

Answer: Just follow the chart

Step-by-step explanation:

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