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allochka39001 [22]
3 years ago
11

Part B: A triangle has vertices A (-2, 3), B (0, 0), and C (1, 2). What are the coordinates of the vertices if the original tria

ngle is dilated by a scale factor of 3 and then reflected over the x-axis?
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
5 0

Answer:

(-6,-9) , (0,0) and (3,-6)

Step-by-step explanation:

Here, we want to find new coordinates after dilating by 3 and reflecting over x-axis

By dilating by a factor of 3, we multiply each term by 3

We have the following;

A’(-6,9) B’(0,0) and C’ (3,6)

Now if we want to reflect the point (x,y) over x-axis, what we shall have is (x,-y)

So the vertices will be as follows;

(-6,-9) , (0,0) and (3,-6)

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the amount of radioactive isotope decays in half every year. the amount of isotope can be modeled f(x)=346(1/2)^x and f(1)=173.
max2010maxim [7]
The 346 is the original mass  of the radioactive isotope.
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3 years ago
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Are 18:3 and 6:1 equivalent radios?
Nataly [62]

Answer:

Yes

Step-by-step explanation

6:3 multiply by 3 is equal to 18:3

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3 years ago
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What are the exact solutions of x2 = 5x + 2? (1 point)
bazaltina [42]

Answer:

A. x equals 5 plus or minus the square root of thirty-three all over 2

Step-by-step explanation:

Let's move all the terms to one side:

x^2=5x+2

x^2-5x-2=0

Now, we want to use the quadratic formula, which states that for a quadratic equation of the form ax^2+bx+c=0, the roots can be found with the equation: x=\frac{-b+\sqrt{b^2-4ac} }{2a} or x=\frac{-b-\sqrt{b^2-4ac} }{2a}.

Here, a = 1, b = -5, and c = -2, so plug these in:

x=\frac{-(-5)+\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5+\sqrt{25+8} }{2}=\frac{5+\sqrt{33} }{2}

OR

x=\frac{-(-5)-\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5-\sqrt{25+8} }{2}=\frac{5-\sqrt{33} }{2}

Thus, the answer is A.

Hope this helps!

6 0
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X + 4 = -14<br><br> what does x equal?
DaniilM [7]

Answer:

x=-18

Step-by-step explanation:

To move the 4 to the other side you need to subtract both sides by 4 (If you do something to one side you need to do it on the other side)

x+4-4=-14-4

Simplify:

x=-18

Hope this helps!

7 0
2 years ago
The diagonal of a square is 8 cm.
VladimirAG [237]

the length of the side of this square is 4\sqrt{2} \:or \:5.65cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=\frac{64}{2}

a²=32

doing square root on both side

\sqrt{a²}=\sqrt{32}

a=±\sqrt{2*2*2*2*2}

a=±2*2\sqrt{2}

Since side of square is always positive so

a=4\sqrt{2} or 5.65 cm

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2 years ago
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