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.
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
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
Answer:
.
Step-by-step explanation:
The given conic has equation;

Divide through by 9.

.
This is an ellipse centered at the origin;
This ellipse has been translated so that the center is now at;

The translated ellipse has equation;
.
Clear the fraction;
.
Expand;
.
.
Write in general form;
.
.
The correct choice is D
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! :)