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Elanso [62]
3 years ago
11

Solve the following system of equations algebraically:

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
5 0

Answer:

(2,1) , (-4,-17)

x  = 2  ,  y =  1

x =  − 4  ,  y =  −  17

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ABC is a right triangle in which ∠B = 90°. D is a point on BC such that DC=AB. DE and BF are perpendicular to AC. If BF = 4cm, t
solniwko [45]

Answer:

Step-by-step explanation

taco: góc FBC + góc FBA = 90° mà góc FBA + góc FAB = 90

⇒góc FAC = góc FBC mà góc FBC = góc EDC ⇒ góc FAC = góc EDF

xét Δ ABF và Δ DCE có

góc FAC = góc EDF

góc F = góc E = 90°

⇒ tam giác ABF đồng dạng với tam giác DCE

⇒ AB/DC = BF/EC ⇒ AB.EC = DC.BF mà AB = DC ⇒ EC=BF=4

4 0
3 years ago
Write as a product of two polynomials.<br> (x-y)^2-a(y-x)
11Alexandr11 [23.1K]

Answer:

(x-y) (a+x-y)

Step-by-step explanation:

(y-x)=-(x-y)

-a(y-x) = a(x-y)

(x-y)^2 = (x-y)(x-y)

(x-y)(a + x - y)

3 0
4 years ago
99 Points.
kvasek [131]

The product of the sum of two perfect cubes:

a³ + b³ = (a + b)(a² - ab + b²)

The product of the difference of two perfect cubes:

a³ - b³ = (a - b)(a² + ab + b²)

----------------------------------------------------------------------------------------------------------------

Remember to follow FOIL:

(b^2 + 8)(b^2 - 8)

(b^2)(b^2) = b^4

(b^2)(-8) = -8b^2

(8)(b^2) = 8b^2

(8)(-8) = -64

b^4 - 8b^2 + 8b^2 - 64

Combine like terms:

b^4 (-8b^2 + 8b^2) - 64

b^4 - 64

b^4 - 64 is your answer

hope this helps

6 0
4 years ago
Read 2 more answers
Which expression is equivalent to 10 ( – 5 x + 3) – 2x
IceJOKER [234]

Step-by-step explanation:

well, we just do the multiplication and simplify by combining terms with the same base :

10(-5x + 3) - 2x = -50x + 30 - 2x = -52x + 30

6 0
3 years ago
Read 2 more answers
The square below has an area of x^2+10x+25 square meters. What expression represents the length of one side of the square?
amm1812

Answer:

(x+5) m

Step-by-step explanation:

Given that,

The area of a square shape, x^2+10x+25

We need to find the expression for the length of one side of the square.

The area of a square shaped object is given by :

s=x^2

x is side of the square

s=\sqrt{A} \\\\s^2=x^2+10x+25\\\\=x^2+5x+5x+25\\\\=x(x+5)+5(x+5)\\\\=(x+5)^2\\\\s=(x+5)

So, the sides of the square is (x+5) m.

7 0
3 years ago
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