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3 years ago

How do I solve (4x+1)(x-5)=-43x-41

1 answer:

8 0

Remember you can do anything to an equation as long as you do it to both sides
expand by foiling or distributing

4x²-19x-5=-43x-41
add 43x to both sides and add 41 to both sides

4x²+24x+36=0
factor
facotr out of 4
4(x²+6x+9)=0
factor inside
what 2 numbers multiply to get 9 and add to get 6?
3 and 3
4(x+3)(x+3)=0
set to 0

x+3=0
x=-3

x=-3 is answer

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Rewrite the equation in polar form.

ycow [4]

Answer:

C) √5(cos(117°) +i·sin(117°))

Step-by-step explanation:

The rectangular number a+bi can be written in polar form as ...

√(a^2+b^2)×(cos(arctan(b/a)) + i·sin(arctan(b/a)))

Here, we have a=-1, b=2, so the magnitude is ...

√((-1)^2 +2^2) = √(1+4) = √5

and the angle is ...

arctan(2/(-1)) = arctan(-2) ≈ 116.565° . . . . . a 2nd-quadrant angle

Then you have ...

-1 +2i = √5(cos(117°) +i·sin(117°)) . . . . . . customary "polar form"

_____

Comment on the answer

The "polar form" is generally written as ...

(magnitude)·(cos(angle) +i·sin(angle))

You may also see it as ...

(magnitude) cis (angle) . . . . . . . where "cis" is shorthand for "cos + i·sin"

In my engineering courses, we often used the form ...

(magnitude) ∠ (angle)

The form used by my calculator is ...

(magnitude)·e^(i·angle) . . . . . where angle is usually in radians

4 0

3 years ago

If tan x=2021<br> x=20/21 <br> and <br> π< x < 3π/2<br> what is cos⁡(x+π/2)?

Flura [38]

Answer:

42Sin

Step-by-step explanation:

Speed it up

7 0

4 years ago

Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line F(-6,0); x=

Bogdan [553]

Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

$(y - k) {}^{2} = 4p(x - h)$

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

$\frac{ - 6 + 6)}{2} = 0$

$\frac{0 + 0}{2} = 0$

So our vertex is (0,0).

So our equation become

${y}^{2} = 4px$

The distance from the focus and directrix is 6.

So p=6.

${y}^{2} = 24x$

So p is 6.

Since p is 6,

$\frac{ {y}^{2} }{24} = x$

3 0

2 years ago

The profit P after the first month of operation for a new departmental store is $10,605. The profit of the departmental store af

devlian [24]

Answer:

p = 11145.96

Step-by-step explanation:

If x is an exponent and 1.01 its base then we are looking at a case of compound increments and the profit can be said to be earning compound interest at a rate of 1%. The profit of the store after 6 months is found by simply substituting x with 6 in the equation of p; p = 10500(1.01)^6

5 0

3 years ago

Make sure to simply too!

Helen [10]

Answer:

-46/60

Step-by-step explanation:

find a common denominator. multiply that number you got that common denominator with for the numerator (top number) and there is your answer

5 0

3 years ago

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