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3 years ago

Adittion of letters with powers

1 answer:

8 0

To add or subtract with powers, both the variables and the exponents of the variables must be the same. You perform the required operations on the coefficients, leaving the variable and exponent as they are.

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The lines (m-2)x+y=2 and mx+2y=k intersect at (2,8). Find the values of m and k

olga nikolaevna [1]

Answer:

m = - 1, k = 14

Step-by-step explanation:

The coordinates of the point of intersection (2, 8 ) satisfy both equations.

Substitute x = 2, y = 8 into the equations and solve for m and k

(m - 2)x + y = 2

2(m - 2) + 8 = 2

2m - 4 + 8 = 2

2m + 4 = 2 ( subtract 4 from both sides )

2m = - 2 ( divide both sides by 2 )

m = - 1

and

mx + 2y = k

- 1(2) + 2(8) = k

- 2 + 16 = k

14 = k

Then m = - 1 and k = 14

5 0

3 years ago

Solve the following quadratic equations by any method. The solutions are:

Nataly_w [17]

Answer:

Option C .

Step-by-step explanation:

We would like to solve the below quadratic equation ,

$\longrightarrow f(x) = x^2-12x +32$

Step 1 : Equate f(x) with 0 :-

$\longrightarrow f(x) = 0\\$

$\longrightarrow x^2-12x + 32=0$

Step 2 : Factorise the RHS :-

$\longrightarrow x^2-8x - 4x +32=0\\$

$\longrightarrow x(x-8)-4(x-8)=0\\$

$\longrightarrow (x-8)(x-4)=0\\$

Step 3 : Equate each factor with 0 :-

$\longrightarrow x - 8 = 0\\ \qquad x -4=0$

$\longrightarrow x = 8 \qquad x = 4$

$\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}$

Hence option C is correct .

8 0

2 years ago

BC is included between?

hammer [34]

Answer:

bc is included between ab and ac

Step-by-step explanation:

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3 years ago

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Nana76 [90]

Answer:

i think is D

i hope it’s help you but if not DO NOT FORGET STAY SAFE AT HOME

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3 years ago

Plz help! Will mark brainliest

aev [14]

X+2 over x-3. Hope this helps

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3 years ago