A = L * W
A = 54
L = 2W + 3
54 = W(2W + 3)
54 = 2W^2 + 3W
2W^2 + 3W - 54 = 0
(2W - 9)(W + 6) = 0
2W - 9 = 0
2W = 9
W = 9/2
W = 4.5 <== width
W + 6 = 0
W = -6....it wont be this one because it is negative
L = 2W + 3
L = 2(4.5) + 3
L = 9 + 3
L = 12 <==length
Answer:
2
Step-by-step explanation:
sin²a + cos²a + sec²a - tan²a
sin²a + cos²a = 1
1 + tan²a = sec²a
So, sec²a - tan²a = 1
sin²a + cos²a + sec²a - tan²a
= 1 + 1 = 2
<span>x + 6y = 2
4x - 3y = 10
The first thing to do when solving a system of equations using the addition/elimination method is to multiply one or both of the equation by a value that will cancel out one of the variable terms.
Based on this, the correct answer is D - multiply the bottom equation by 2 thus eliminating the y variable when the equations are added together:
</span>x + 6y = 2 x + 6y = 2
2(4x - 3y = 10) --> 8x - 6y = 20<span>
Hope this helps.</span>
Answer:
LN = 15
Step-by-step explanation:
The arrows on the line segments indicate they are parallel.
<u>Triangle Proportionality Theorem</u>
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides <u>proportionally</u>.
Given:
⇒ LK = JL - JK = 30 - 18 = 12
Substituting the values into the equation and solving for LN:
Answer:
y ≤-1/2 x-1
y < -4x+25
Step-by-step explanation:
The y intercept is -1
The slope is negative since the line goes down from left to right
The line is y = -1/2 x -1
The line is solid so there is an equals in the inequality
The graph is shaded below the line
y ≤-1/2 x-1
Question 5
The y intercept is 25
The slope is negative since the line goes down from left to right
The slope is (y2-y1)/ (x2-x1) = (49-25)/(-6-0) = 24/-6 = -4
The line is y = -4 x +25
The line is dotted so there is NOT an equals in the inequality
The graph is shaded below the line
y < -4x+25
