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kolezko [41]
2 years ago
10

What is the solution to the system of equations graphed below?

Mathematics
1 answer:
BartSMP [9]2 years ago
3 0

Answer:

(1,2)

Step-by-step explanation:

The solution is the point the two lines meet, at (1,3).  It is the only point that the value of x=1 will result is y = 3 for both lines.

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The figure shows △ABC . BD is the angle bisector of ∠ABC .
Misha Larkins [42]
From angle bisector theorem, we know that:

\dfrac{|AD|}{|DC|}=\dfrac{|BA|}{|BC|}\\\\\\\dfrac{|AD|}{|DC|}=\dfrac{8}{10}=\dfrac{4}{5}

Moreover:

|AD|+|DC|=6

so:

|DC|=6-|AD|

and

\dfrac{|AD|}{|DC|}=\dfrac{4}{5}\\\\\\\dfrac{|AD|}{6-|AD|}=\dfrac{4}{5}\qquad\qquad\text{cross multiplying}\\\\\\ 5\cdot|AD|=4\cdot\big(6-|AD|\big)\\\\5\cdot|AD|=24-4\cdot|AD|\\\\5\cdot|AD|+4\cdot|AD|=24\\\\9\cdot|AD|=24\qquad|:9\\\\\\|AD|=\dfrac{24}{9}=\boxed{\dfrac{8}{3}}

3 0
3 years ago
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The formula F = ma shows the relationship between force, mass, and acceleration. Solve this formula for a
devlian [24]

Answer:

f/m=a

Step-by-step explanation:

I think that's right but idk

6 0
3 years ago
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15PTS!!!! HELPPPP!!! Determine the length of fencing around an 80 m by 170 m rectangular playing field if fence is to be 25 m ou
marshall27 [118]
Perimeter=2L+2W, in this case L=80+2(25) and W=170+2(25) so

P=2(L+W)=2(80+50+170+50)

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5 0
3 years ago
Nancy found that x = 1 is one solution to the quadratic equation (x + 2)2 = a. What is the value of a?
solniwko [45]

ANSWER

a=9

EXPLANATION

The given quadratic equation is

{(x + 2)}^{2}  = a

If x=1 is a solution, then it must satisfy this equation:

{(1 + 2)}^{2}  = a

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Therefore the value of 'a' is 9

4 0
3 years ago
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Whole page for 81! Good luck!
OLEGan [10]

Answer:

Prime number: A prime number has factor of only 1 and itself.

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A whole number that has factors other than 1 and itself is called a composite number.

Ex: 8: the factors of 8 include 1,2,4,8

Circle 5,7,2,19,3,11

Box 18,20,22,16,15,30,26,38,45,10,21,6,14

To determine the prime factorization of a number, you must break down a number into its factors. (im not sure?)

Continute until all of the factors are (im not sure)

Prime factorization is written exponential form (im not quite sure)

30= 2x3x5

30= 2^1 3^1 5^1

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24= 2^3 x 3

sorry idrk if they are all right

6 0
3 years ago
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