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N76 [4]
3 years ago
15

What is 14x+2y=6 -7x-2y=-13

Mathematics
1 answer:
MissTica3 years ago
5 0
14x+2y=6 (1)
-7x-2y= -13 (2)

Multiply (2) by 2, we have:
-14x-4y= -26 (3)

Take (1)+(3), we can solve and get x= -1, y= 10~


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a chord of 12cm long of 8cm is away from the of the circle what is the lenght of the chord which is 6cm away from the centre
lana66690 [7]

Answer:

The length of the chord is 16 cm

Step-by-step explanation:

Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions

From the first part of the question, we can get the radius of the circle

The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle

Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

r^2 = 8^2 + 6^2

r^2= 64 + 36

r^2 = 100

r = 10 cm

Now, we want to get a chord length which is 6 cm away from the circle center

let the half-portion that forms the right triangle be c

Using Pythagoras’ theorem;

10^2 = 6^2 + c^2

c^2 = 100-36

c^2 = 64

c = 8

The full

length of the chord is 2 * 8 = 16 cm

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3 years ago
The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
LenaWriter [7]

Answer:

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Step-by-step explanation:

7 0
3 years ago
The vertex form of the equation of a parabola is y=(x-5)+16. what is the standard form of the equation
kakasveta [241]

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Step-by-step explanation:

4 0
3 years ago
E<br> B<br> 30<br> 24<br> 25<br> 20<br> А<br> 15<br> с<br> D<br> 18<br> F<br> The scale factor is
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Answer:

5:6

Step-by-step explanation:

20/4=5

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