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geniusboy [140]
2 years ago
10

Which of the following expressions is evuivalent to 5x-(4+2(x-1)

Mathematics
1 answer:
svetlana [45]2 years ago
7 0

Answer:

3x-2

Step-by-step explanation:

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A line passes through the point (–6, –2), and its y-intercept is (0, 1). What is the equation of the line that is perpendicular
Mama L [17]
The slope of first line is m 1= ( 1 - 0 ) / ( - 2 - ( - 6 ) );
m = 1 / 4 ;
Because the second line is perpendicular to the first line, m2 * m1 = - 1 ;
m2 * ( 1 / 4 ) = -1;
 m2 = - 4 ;
The equation of the second line is : y - 3 = ( - 4 )( x - 2 );
y - 3 = -4x + 8 ;
y = -4x + 11.
5 0
3 years ago
Write the expression as a square of a monomial. <br><br><br><br><br><br><br><br><br><br> a 81x^4
poizon [28]

Answer:

(9x²)²

Step-by-step explanation:

Given the expression 81x⁴, to write the expression as a square of a monomial, first we will assign a variable to the expression.

y = 81x⁴

Then we take the square root of both sides of the expression

√y = √81x⁴

y^½ = √81 × √x⁴

y^½ = 9x²

Squaring both sides of the resulting equation to get y back

(y^½)² = (9x²)²

y = (9x²)²

The expression as a square of a monomial is (9x²)²

7 0
3 years ago
Read 2 more answers
The length of a rectangle is 5 in longer than its width.
NeTakaya

Answer:

Length = 21

Width = 16

Step-by-step explanation:

We know that the formula for perimeter is:

P=2W+2L

And we also know that:

L=W+5

So then we put all that we know in the formula:

74=2W+2(W+5)

Now we expand the brackets and do some algebra:

74=4W+10 (-10)

64=4W (÷4)

16=W

Now that we know the width we can pop that into the length equation:

L=16+5

L=21

5 0
3 years ago
Q5: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.
MAVERICK [17]

Answer:

d.\:ellipse;\:3x^2+y^2+6x-6y+3=0.

Step-by-step explanation:

The given conic has equation;

3x^2+y^2=9

Divide through by 9.

\Rightarrow \frac{3x^2}{9}+\frac{y^2}{9}=\frac{9}{9}

\Rightarrow \frac{x^2}{3}+\frac{y^2}{9}=1.

This is an ellipse centered at the origin;

This ellipse has been translated so that the center is now at;

(-1,3)

The translated ellipse has equation;

\frac{(x+1)^2}{3}+\frac{(y-3)^2}{9}=1.

Clear the fraction;

3(x+1)^2+(y-3)^2=9.

Expand;

3(x^2+2x+1)+(y^2-6y+9)=9.

3x^2+6x+3+y^2-6y+9=9.

Write in general form;

3x^2+y^2+6x-6y+9-9+3=0.

3x^2+y^2+6x-6y+3=0.

The correct choice is D

4 0
3 years ago
Read 2 more answers
A small, test batch of lemonade used 1/4 cup of sugar added to 1 cup of water and 1/4 cup of lemon juice. After confirming it ta
Levart [38]

Hi there!

In order to answer your question, you'll need to use the cross product method:

1 cup water → 1/4 cup sugar

10 cups water → X cup sugar


(<u>(1/4) × 10)</u> ÷ 1 = X cups sugar

<u>2.5 ÷ 1</u> = X cups sugar

2.5 = X cups sugar


Your answer is : Using 10 cups of water, you should add 2 and a half cups of sugar so that the large batch tastes the same as the test batch.


There you go! I really hope this helped, if there's anything just let me know! :)

4 0
3 years ago
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