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asambeis [7]
3 years ago
11

What is 3x-4y=10 on a graph

Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0

Answer:

Step-by-step explanation:

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Rewrite the expression using positive exponents<br> 1. 1/9x^-2y^-1<br><br> 2. a^-5*a^-8
NikAS [45]

Answer:

Property : a^-b = 1/a^b

Using this property, we can rewrite the expression using positive exponents :

1.  \frac{1}{9}*x^{-2} *y^{-1} =\frac{1}{9}\frac{1}{x^{2} } \frac{1}{y} =\frac{1}{9x^{2} y} \\2. a^{-5} a^{-8} =\frac{1}{a^{5}a^{8}  } =\frac{1}{a^{13} }

4 0
3 years ago
A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection ac
Oksi-84 [34.3K]

Answer:

  • 3. line y=x
  • 4. 10 units to the right and 4 units up

Step-by-step explanation:

In the attached diagram, the green polygon A"B"C" is the reflection of ABC across the line y=x. Then the purple polygon A'B'C' is the translation of A"B"C" 10 units to the right and 4 units up.

_____

You can tell a reflection is involved, because the clockwise order of A, B, C in the original is reversed to counterclockwise in A'B'C'. The left-right horizontal line AC becomes the down-up vertical line A'C', so you know the reflection is across the line y=x, and not the line y=-x.

After the reflection, point A" is located at (2, -6), so moving it to A'(12, -2) entails a translation 10 units right and 4 units up.

7 0
4 years ago
Adding and subtracting fractions (D)
Mariana [72]
When you add and subtract be sure that the two fractions have the same denomination, and then add/subtract the numerators. I always do cross multiplication of the two fractions to obtain the same denominators-although there are various ways to do this.

Multiplying fractions is simply straight across.

Dividing fractions:
Keep, change, flip.
Keep the first fraction the same, change the sign to its opposite (ex:division flips to multiplication), and flip the numerator and the denominator of the second fraction. Then, preform the arithmetic from your "new" problem. 
5 0
4 years ago
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Suppose that tickets for a rock concert cost $5 for the first ticket, $10 for the second ticket, $15 for the third ticket, and s
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Answer:

275$

Step-by-step explanation:

3 0
3 years ago
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Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
Gennadij [26K]

we have

g(x)=(x^{2}+3x-4)( x^{2}-4x+29)

To find the roots of g(x)

Find the roots of the first term and then find the roots of the second term

Step 1

Find the roots of the first term

(x^{2}+3x-4)=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x^{2}+3x)=4

Complete the square. Remember to balance the equation by adding the same constants to each side

(x^{2}+3x+1.5^{2})=4+1.5^{2}

(x^{2}+3x+1.5^{2})=6.25

Rewrite as perfect squares

(x+1.5)^{2}=6.25

Square root both sides

(x+1.5)=(+/-)2.5

x=-1.5(+/-)2.5

x=-1.5+2.5=1

x=-1.5-2.5=-4

so the factored form of the first term is

(x^{2}+3x-4)=(x-1)(x+4)

Step 2

Find the roots of the second term

(x^{2}-4x+29)=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x^{2}-4x)=-29

Complete the square. Remember to balance the equation by adding the same constants to each side

(x^{2}-4x+4)=-29+4

(x^{2}-4x+4)=-25

Rewrite as perfect squares

(x-2)^{2}=-25

Remember that

i=\sqrt{-1}

Square root both sides

(x-2)=(+/-)5i

x=2(+/-)5i

x=2+5i

x=2-5i

so the factored form of the second term is

(x^{2}-4x+29)=(x-(2+5i))(x-(2-5i))

Step 3

Substitute the factored form of the first and second term in g(x)

g(x)=(x-1)(x+4)(x-(2+5i))(x-(2-5i))

therefore

the answer is

the roots are

x1=1\\x2=-4\\x3=(2+5i)\\x4=(2-5i)

8 0
4 years ago
Read 2 more answers
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