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Pani-rosa [81]
3 years ago
14

Solve by completing the square. w2 − 8w − 39 = 0 Write your answers as integers, proper or improper fractions in simplest form,

or decimals rounded to the nearest hundredth. w = [ ] or w = [ ]
Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

4+√55= 11.42

4-√55= -3.42

Step-by-step explanation:

  • w² − 8w − 39 = 0
  • w²- 2*4w + 16- 55=0
  • (w-4)²=55
  • w-4=√55 ⇒ w= 4+√55= 11.42
  • w-4=- √55 ⇒ w= 4-√55= -3.42
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3 years ago
WILL GIVE BRAINLIEST TO FIRST PERSON TO ANSWER CORRECTLY! PLUS 35 POINTS!
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7 0
4 years ago
A circle is represented by the equation x2+y2=445. a) State the radius. b) Find y if point A(-9,y) is on this circle.
Temka [501]

Answer:

R= sqrt 445

Y = 19

Step-by-step explanation:

Radius is the square root of 445

Find y

So, First step is to substitute what you have

-9^2 + y^2 = 445

 81 + y^2 = 445

-81               -81

y^2 =364

Y is about 19

Let me know if I'm incorrect

Hope this helps :)

4 0
3 years ago
Look at picture. Does anybody know the answer I’m lost?
masha68 [24]

Let x,y be the dimensions of the rectangle. We know the equations for both area and perimeter:

A=xy=36

P=2(x+y)=36 \iff x+y=18

So, we have  the following system:

\begin{cases}xy=36\\x+y=18\end{cases}

From the second equation, we can deduce

y=18-x

Plug this in the first equation to get

xy=x(18-x)=-x^2+18=36

Refactor as

x^2-18x+36=0

And solve with the usual quadratic formula to get

x=9\pm3\sqrt{5}

Both solutions are feasible, because they're both positive.

If we chose the positive solution, we have

x=9+3\sqrt{5} \implies y=18-x=18-9-3\sqrt{5}=9-3\sqrt{5}

If we choose the negative solution, we have

x=9-3\sqrt{5} \implies y=18-x=18-9+3\sqrt{5}=9+3\sqrt{5}

So, we're just swapping the role of x and y. The two dimensions of the rectangle are 9+3\sqrt{5} and 9-3\sqrt{5}

6 0
3 years ago
The angle of elevation of the top of the tower from a point on the ground is 30 degree, If the height of the tower is 40 space m
kiruha [24]

Answer:

40\sqrt3\ m

Step-by-step explanation:

Given that,

The height of the tower, h = 40 m

The angle of elevation is 30°

We need to find the distance between the tower and the point. Let the distance is x. Using trigonometry,

\tan(30)=\dfrac{h}{x}\\\\\dfrac{1}{\sqrt3}=\dfrac{40}{x}\\\\x=40\sqrt3\ m

So, the distance between the tower and the point is equal to 40\sqrt3\ m.

7 0
3 years ago
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