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Sophie [7]
3 years ago
7

A circle has the equation x^2−8y−6x+y^2=4.

Mathematics
1 answer:
mylen [45]3 years ago
8 0
Hello here is a solution :
x²-8y-6x+y²=4....(1)
A)
x²-6x = x²-2(3)x+9-9
         = x²-2(3)x+3²-9
x²-6x =(x-3)² -9
B)
y²-8y = y²-2(4)y +4²-16
y²-8y = (y-4)²-16
C)
in (1) :

(x-3)² -9 +(y-4)²-16 = 4
(x-3)² +(y-4)² = 29   ...<span>is the standard form of the equation

</span>   <span>Select answer 1 : 
</span><span>A: 3
B: 4
C: (x−3)2+(y−4)2=29</span>
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Answer:

$204.4

Step-by-step explanation:

The four chairs bought in June cost $35 each, all together $140. Then they bought 2 more chairs on sale for 8% off of $35 each or 92% of $35 which is $32.2 each, all together $64.4. Both buy's together would then equal $204.4

7 0
3 years ago
The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to
zepelin [54]

Answer:

Answer in terms of a trigonometric function :

h = \frac{20tan(19.9)}{0.4-tan(19.9)}

Answer in figures

h = 190.5 feet

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

tan (19.9)=\frac{h}{50+x} ---------------equation 1\\

tan (21.8)=\frac{h}{x}----------------equation 2

From equation 2,

x =\frac{h}{tan21.8}=\frac{h}{0.4}

substituting the value of x into equation 1, we get

tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}

tan 19.9=h\times \frac{0.4}{20+h}

cross multiplying,

20\times tan(19.9) +htan(19.9)=0.4h

20tan(19.9)= h(0.4-tan(19.9))

h= \frac{20tan (19.9)}{0.4-tan (19.9)}

The height of the tower is h= \frac{20tan (19.9)}{0.4-tan (19.9)} in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

5 0
4 years ago
Mason, a hardwood flooring installer, needs to calculate the amount of hardwood flooring needed to cover a floor that's 33⁄4 yar
Aleksandr-060686 [28]

Answer:

20 5/8 yd^2

Step-by-step explanation:

width = 3 3/4 yd

length = 5 1/2 yd

First change both measurements to fractions.

3 3/4 = 3 + 3/4 = 12/4 + 3/4 = 15/4

5 1/2 = 5 + 1/2 = 10/2 + 1/2 = 11/2

area = length * width

area = 15/4 yd * 11/2 yd

area = (15 * 11)/(4 * 2) yd^2

area = 165/8 yd^2

165/8 = 20 remainder 5

area = 20 5/8 yd^2

3 0
4 years ago
Please help I will give out brainliest
Licemer1 [7]

Answer:

Step-by-step explanation:

Our function is : 3x²-3x-1

  • 3x²-3x+2=2
  • 3x²-3x-1+3=2
  • 3x²-3x-1= -1
  • the number that gives us -1 is 1 (from the graph)

so x is 1

  • 3x²-3x-1= x+1  ⇒3x²-4x-2 = 0
  • Δ(the dicriminant)= (-4)²-4*3*(-2)= 16+24 =40
  • two solution x and y
  • x= (4-√40)/6 and y= (4+√40)/6
  • x= -0.38 and y = 1.7
  • so the estimations are -0.38 and 1.7

6 0
4 years ago
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