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Semmy [17]
3 years ago
11

1) Simplify into Standard Form. 2(x – 3)^2 – 1 help !

Mathematics
1 answer:
loris [4]3 years ago
6 0
2x^2 - 12x + 17

you just simplify it by doing the square number to the bracket and then multiply everything in the bracket by the number outside the bracket (this example 2)
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An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and
docker41 [41]

Answer:

the distance of the Bird (B) from the plane (P)  is = 10779  ft

Step-by-step explanation:

From the given information:

a diagrammatic representation is attached below for better understanding and solution to the question.

From the diagram;

Let the Bird (B) be represent as A

The plane (P) be represented by B

The observer be represented by O

and the tower T be represented by C

we will see that:

\overline {AB}  \ \| \ \overline {OC}

Also;

\angle ABO = \angle BOC = 33^0

AO = BC = 7000

Let consider the trigonometry of  triangle BAO

tan θ = opposite/adjacent

tan 33° = 7000/x

0.6494 = 7000/x

x = 7000/0.6494

x = 10779.18

x = 10779  ft    ( to the nearest whole number)

Thus; the distance of the Bird (B) from the plane (P)  is = 10779  ft

7 0
3 years ago
Find the least number must be added to 4015 to make it a perfect square. also,find the square root of the perfect square so obta
Vladimir [108]

To solve this, I used guess and check.

I started by finding 60²=3600 and 70²=4900. 70² is too much, so I then did 65²=4,225.

After 65², I did 62²=3,844. I knew that was pretty close, so I did 64. 64²=4,096 and 63²=3,969. So, 64² was it.

4,096-4015=81

So, you would need to add 81 to 4015 in order to receive a perfect square, which is 64²(4,096).

7 0
3 years ago
L.C.M of x2 + 3x + 2 and x2 + 4x + 3
lutik1710 [3]

Answer:

Step-by-step explanation:

x^2 + 3x + 2 = (x+1)(x+2)

x^2 + 4x + 3 = (x+1)(x+3)

LCM = (x+1)(x+2)(x+3) = (x^2 + 3x + 2) (x+3) = x^3 + 6x^2 + 11x + 6

4 0
3 years ago
Read 2 more answers
Simplify the given expression. 10(0.4x+0.2y)+21(0.6x−0.8y)
Delvig [45]

Answer:

your answer would be

Step-by-step explanation:be (0.6x-0.8y)

3 0
4 years ago
Read 2 more answers
The triangles are similar by the AA Similarity Postulate. Find the value of x.
timofeeve [1]
Hello!

4/5 = (4 + 8)/x
4x = 5(12) = 60
x = 60/4 = 15

I hope this helps!
3 0
3 years ago
Read 2 more answers
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