Answer:
The y-intercept of the function is: b=10
Step-by-step explanation:
Given the table
x y
1 8
2 6
3 4
4 2
Taking any two points to find the slope
The slope between (1, 8) and (2, 6) is:
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept.
Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).
8 = -2(1) + b
8 = -2 + b
b = 8+2
b = 10
Thus, the y-intercept of the function is: b=10
The area of the Rhombus is 162√3 sq.unit , Option A is the correct answer.
<h3>What is a Rhombus ?</h3>
A rhombus is a polygon , which has four equal sides , its diagonal bisect each other at 90 degree.
Let x be the half of the other diagonal.
tan 60 = x / 9
x = 9 tan 60
x = 9√3
Area of the Rhombus = (d1 * d2 /2 )
d1 and d2 are the length of the diagonal.
Area of the Rhombus = (9*2)(2 *9√3)/2
Area of the Rhombus =162√3 sq.unit
To know more about Rhombus
brainly.com/question/27870968
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Answer:
A. Perfect square Trinomial
Step-by-step explanation:
Just did its
Answer:
B and D
Step-by-step explanation:
This must be a six sided figure
A. 15 x 15. This would be area
B. 6 x 15. This is the sum of six sides of 15
C. 15 + 6. This is the sum of 2 sides of different length
D. 15 + 15 + 15 + 15 + 15 + 15. This is the sum of six sides of length 15
Answer:
<em>Equation; y = - x + 3</em>
Step-by-step explanation:
To determine the equation, let us first determine the slope of the line, through the equation ( y2 - y1 ) / ( x2 - x1 ), in this case where y2 ⇒ 1, y1 ⇒ 5, x2 ⇒ 2, and x1 ⇒ -2;
( 1 - 5 ) / ( 2 - ( - 2 ) ) ⇒ Simplify,
( - 4 ) / ( 4 ),
<em>Slope; - 1</em>
Now that we have the slope, let us substitute this known value into the point - slope equation in the following form;
y = a * x + b, where a ⇒ slope, and b ⇒ y - intercept,
( So far we have ) y = - x + b,
Let us solve for the value of b in y = - x + b by substituting one of the points, say ( 2 , 1 ) where x ⇒ 2, and y ⇒ 1;
( 1 ) = - ( 2 ) + b,
1 = - 2 + b,
b = 3;
<em>Equation; y = - x + 3</em>
