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vagabundo [1.1K]
1 year ago
6

Solve the system and enter the smallest x-coordinate first

Mathematics
1 answer:
ankoles [38]1 year ago
4 0
Answer:
(2,-3)(6,5)
Step-by-step explanation:
We can use substitution to get the equation: x^2-6x+5 = 2x-7
Solve:
x^2-6x+5 = 2x-7
x^2 = 8x-12
x^2-8x+12 = 0 (we now have a polynomial)
(x-6)(x-2) = 0 (set each equation to equal 0 and solve)
x-6 = 0 --> x=6
x-2 = 0 --> x=2
To get the Y coordinates:
y=2(2)-7 --> y = -3
y = 2(6)-7 --> y = 5

Check work:
5 = 6^2-6(6)+5 --> 5 = 36-36 +5 --> 5=5
-3 = 2^2-6(2)+5 --> -3 = 4-12+5 --> -3=-3
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Multiply and reduce to lowest terms <br> 5/13 X 3 3/8
Ganezh [65]

Answer:

<h2>1 31/104</h2>

Step-by-step explanation:

First, let's turn them both into improper fractions.

3 3/8 = 27/8

Now we can multiply

It is 5*27 / 13 * 8

This equals: 135 / 104

Simplified even further is:

1 31/104

6 0
1 year ago
Help with 35 to 40, don’t know if I am right
Sedaia [141]

Step-by-step explanation:

35. 1000 m / 1 km = 10³

Move the decimal point 3 places to the right.

36. 100 cm / 1 m = 10²

Move the decimal point 2 places to the right.

37. 1 mm / 1000 μm = 10⁻³

Move the decimal point 3 places to the left.

38. 1 km / 1000 m × 1 m / 100 cm = 10⁻⁵

Move the decimal point 5 places to the left.

39. 1 Mm / 10⁶ m × 1 m / 10⁶ μm = 10⁻¹²

Move the decimal point 12 places to the left.

40. 100 cm / m × 1000 m / km = 10⁵

Move the decimal point 5 places to the right.

4 0
3 years ago
Equations with variables on both sides that make the answer x=9
nikklg [1K]

Answer:

6x-3=2x+33

Step-by-step explanation:

Apply creative thinking and come up with an equation where the final answer is x=9.

This might give a representation of how to do it algebraically:

x=9\\4*x=4*9\\4x=36\\4x+2x=36+2x\\6x=2x+36\\6x-3=2x+36-3\\6x-3=2x+33

4 0
2 years ago
The weight of an adult blue whale is 9 × 104 kilograms; the weight of an elephant is 3 × 103 kilograms. How many times heavier i
tia_tia [17]
9•10^4 / 3•10^3 = 30. The whale has 30 times the mass of the elephant, or 29 times more. For that reason, it's 29 times heavier than the elephant.
8 0
2 years ago
Read 2 more answers
Which expressions are equivalent to 4m-2+(-8m)?
frutty [35]

Answer:

The equivalent expression to the given expression 4m-2+(-8m) is -2(2m+1)

That is 4m-2+(-8m)=-2(2m+1)

Step-by-step explanation:

The given expression is 4m-2+(-8m)

To find the equivalent expression to the given expression 4m-2+(-8m):

4m-2+(-8m)=4m-2-8m  ( here using Associative property )

=-4m-2  ( adding the like terms )

=-2(2m+1) ( taking common term -2 in the above expression )

Therefore 4m-2+(-8m)=-2(2m+1)

Therefore The equivalent expression to the given expression 4m-2+(-8m) is -2(2m+1)

That is 4m-2+(-8m)=-2(2m+1)

5 0
3 years ago
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