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Neporo4naja [7]
3 years ago
11

Solving for the missing side of the triangle , please help

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0

Answer:

C=78

Step-by-step explanation:

first add 72 and 30 you get 102 then subrtract 102 from 180 and youll get your answer of 78

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Put the quadratic into vertex form and state the coordinates of the vertex. y= y= \,\,x^2-6x-3 x 2 −6x−3
enot [183]

Answer:

y = (x - 3)^2 - 12

(3,-12)

Step-by-step explanation:

Given

y = x^2 - 6x - 3

Solving (a): In vertex form

The vertex form of an equation is:

y = a(x - h)^2 + k

To do this, we make use of completing the square method.

We have:

y = x^2 - 6x - 3

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

Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

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

y = x^2 - 6x - 3

y = x^2 - 6x + 9 - 9 - 3

y = x^2 - 6x + 9 - 12

Factorize x^2 - 6x + 9

y = x^2 - 3x-3x + 9 - 12

y = x(x - 3)-3(x - 3) - 12

Factor out x - 3

y = (x - 3)(x - 3) - 12

Express as squares

y = (x - 3)^2 - 12

Hence, the vertex form of y = x^2 - 6x - 3 is: y = (x - 3)^2 - 12

Solving (b): State the coordinates of the vertex.

In y = a(x - h)^2 + k; the vertex is: (h,k)

The vertex of y = (x - 3)^2 - 12 will be (3,-12)

3 0
2 years ago
The width of a rectangle is 4 inches greater than half the length. The perimeter is 56 inches. What is the length and the width
yulyashka [42]

Answer:

Length of the rectangle = 16 inches

Width of the rectangle = 12 inches

Step-by-step explanation:

Let the length of the rectangle be represented by x.

Then width can be expressed as \[\frac{x}{2}+4\]


Perimeter of a rectangle is the sum of four sides of the rectangle.

This can be expressed as 2*(length + breadth)

= \[2* (x + \frac{x}{2}+4)\]

= \[2* (\frac{3x}{2}+4)\]

= \[3x + 8\]

But perimeter is given as 56.

So, \[3x + 8 = 56\]


=> \[3x = 48\]

=> \[x = 16\]

Hence length of the rectangle = 16 inches

Width of the rectangle = \[\frac{16}{2}+4\] = 12 inches

7 0
3 years ago
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Is 3.03003000300003... a repeating decimal
SVETLANKA909090 [29]
The answer is no because after each 3 there is one more zero added

to be repeating the number of zeros would have to stay the same
8 0
3 years ago
There were some people on a train. 19 people got off the train at the first stop. 17 people get on the train. Now there is 63 pe
maria [59]

Answer:

65 people.

Step-by-step explanation:

We have to work backwards.

We end with 63 people, and at the stop we lost 19 people and gained 17.

x - 19 + 17 = 63\\; if x = # people at the beginning

x - 19 + 17 = 63\\x - 2 = 63\\x = 65

There were 65 people on the train to begin with.

6 0
3 years ago
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X+y = -15 in y = mx+b form
gayaneshka [121]

Answer:

y=-15x+b

Step-by-step explanation:

Just move it around and use a calucator

8 0
2 years ago
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