MATHEMATICS HIGH SCHOOL

Y=x+5
y=-2x-4
solve by substitution

Answers

Answer 1

Answer:

Answer:

x = − 3

Step-by-step explanation:

Let's solve your equation step-by-step.

− 2x − 4 = x + 5

Step 1: Subtract x from both sides.

− 2x − 4 − x = x + 5 − x

− 3x − 4 = 5

Step 2: Add 4 to both sides.

− 3x − 4 + 4 = 5 + 4

−3x = 9

Step 3: Divide both sides by -3.

−3x / −3 = 9 / −3

x = − 3

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Find the area of the triangle
1. C=110 degrees, a=6, b=10
2. B=130 degrees, a=92, c=30

Answers

$1.\ \ \ |\angle \ ACB|=110^0\n\n.\ \ \ \ \ a=|BC|=6\ [u]\ \ \ and\ \ \ b=|AC|=10\ [u]\n\nArea= (1)/(2) \cdot |AC|\cdot |BC|\cdot sin(|\angle \ ACB|)\n\nArea= (1)/(2) \cdot 6\cdot 10\cdot sin110^0=30\cdot sin (180^0-70^0)=\n\n.\ \ \ \ \ \ =30\cdot sin70^0\approx30\cdot 0.9397=28.191\ [u^2]\n\n$

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How do you factor 2n^2+3n-9

Answers

Find the factors that multiply to give 2n^2 and -9 but add to give 3n.
2n and n give 2n^2
-3 and 3 give -9
2n*3=6n ... (1)
n*(-3)=-3n ... (2)
(1)+(2)=3n
Group the factors that do not have an effect/interaction to each other from the above.
That is, 2n and -3, and n and 3

2n^2+3n-9=(2n-3)(n+3)

1 over 3 +2over 5) x 2 over 3