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horsena [70]
3 years ago
15

Factoriza 4x²-y²-6y-9

Mathematics
2 answers:
Assoli18 [71]3 years ago
6 0
=4x²-(y²+6y+9)
=(2x)²-(y+3)²
=(2x+y+3)*(2x-y-3)
sveta [45]3 years ago
4 0
4 x^{2} -y^{2} -6y-9 \\ 4 x^{2} = y^{2} +6y+9 \\ 4 x^{2} =(y+3)(y+3) \\  \sqrt{ 4x^{2} } = \sqrt{(y+3)(y+3)} =\\2x=y+3\\2x-3=y

y=2x-3
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A real estate broker's base salary is $18,000. She earns a 4% commission on total sales. How much must she sell to earn $55,000
VladimirAG [237]

The salary of the real estate broker = $18,000

Commission earned on total sales = 4% or 0.04

Total income earnings = $55,000

Let the total sales be = x

Equation becomes :

18000+0.04x=55000

0.04x=55000-18000

0.04x=37000

x=925000

Hence, the real estate broker must sell $925,000 worth of real estate to earn $55,000.

5 0
4 years ago
The Perimeter of a triangle is 50 cm. One side is 7cm longer than the another side and 5 cm shorter than the third side. Find al
Aleksandr-060686 [28]
Imagine to have three segment: 1 is x, another is x+7 and the last is x-5. You know that their sum is 50, so you can write:

x+(x+7)+(x-5)=50
simplify:
3x+7-5=50
3x=48
x=16

16+7=23
16-5=11

So the thee sides are 11, 16 and 23.

Hope this helped.
6 0
3 years ago
I don't know why its correct. Help explain to me pls.
Evgen [1.6K]

The rectangle they give you is 12 units tall. This is the result of scaling by a factor of 1.5, ie it is 1.5 times taller than what the answer will be. Let the answer rectangle have a height of h. This means h*1.5 = 12, or 1.5h = 12

Divide both sides by 1.5 to find that h = 8. The answer rectangle's height is 8 units.

The width's will be treated in a similar manner. I picked on the height since it's easier to see that the height lines up with 12 (the width seems to be between 2 and 4, but its not clear if its at the midpoint).

6 0
3 years ago
Which best explains the relationship between the two triangles below? A. ΔADC ~ ΔRTS because ∠A ≅ ∠R, ∠C ≅ ∠S, and ∠D ≅ ∠T. B. Δ
KonstantinChe [14]

Answer:

A. ΔADC ~ ΔRTS because ∠A ≅ ∠R, ∠C ≅ ∠S, and ∠D ≅ ∠T

Step-by-step explanation:

The alternative itself answers the question. Just remember that two triangles are similar if the only difference is size.

∠DCA = 32.3º and ∠RTS = 51.2º

6 0
4 years ago
Jane has a circular garden with a diameter of 16 feet if one bag of fertilizer covers 30 ft.² how many bags will she need to cov
AleksAgata [21]

Answer:

She need 7 bags to cover the garden

Step-by-step explanation:

Diameter of circular garden = 16 feet

Radius of circular garden =\frac{16}{2} = 8 feet

Area of circular garden =\pi r^2 = \frac{22}{7} \times 8^2 =200.96ft^2

30 sq.feet covered by no. of bags = 1

200.96 sq.feet covered by no. of bags = \frac{200.96}{30}=6.69

Hence She need 7 bags to cover the garden

5 0
4 years ago
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