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REY [17]
3 years ago
7

The blue figure is a translation image of the black figure. Write a rule to describe the translation.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0
Rule is 7 can only be divisible by 1 and no other number
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20% of 80 = 40% of ________ ?​
iren2701 [21]

Answer: 160

Step-by-step explanation:

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Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.
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In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

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3 years ago
What is the simplified form of this expression?
Alexxx [7]

Answer:

Option 4

Step-by-step explanation:

=> -3x^2+2x-4 + 4x^2+5x+9

Combining like terms

=> -3x^2+4x^2+2x+5x-4+9

=> x^2+7x+5

5 0
3 years ago
Evaluate the expression [(12x2.4) -(8.4*0.6)] +27-5.1
MariettaO [177]

Answer:45.66

Step-by-step explanation: Simplify the expression.

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6 0
3 years ago
A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a
sdas [7]

Answer:

y=-\dfrac{13}{49}x^2

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

y=ax^2+bx+c

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

-13=a(-7)^2+b(-7)+c

49a-7b+c=-13

(x,y) = (7,-13)

-13=a(7)^2+b(7)+c

49a+7b+c=-13

(x,y) = (0,0)

0=a(0)^2+b(7)+c

c=0

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13

49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13

we can solve these two equation using the elimination method, by simply adding the two equations

\quad\quad49a-7b=-13\\+\quad49a+7b=-13

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

\quad\quad 98a=-26

\quad\quad a=-\dfrac{13}{49}

Now we can plug this value of a in any of the two equations.

49a-7b=-13

49\left(-\dfrac{13}{49}\right)-7b=-13

-13-7b=-13

-7b=0

b=0

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

y=\left(-\dfrac{13}{49}\right)x^2+0x+0

y=-\dfrac{13}{49}x^2

49y=-13x^2

This our equation of the arch!

5 0
3 years ago
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