The mistake here is that Carlos did not correctly use the distributive property (in fact, he didn't use it at all.)
14(49)
14(40 + 9)
Multiply <u>both</u> 40 and 9 by 14, then add them again.
14(40)+14(9)
560+126
686 is the correct answer.
Answer:
440 ft
Step-by-step explanation:
Perimeter(p) of a rectangle is 2l + 2w
Where 'l' is the length and 'w' is the width.
p = 2(96ft) + 2(124ft) = 192 ft + 248 ft = 440 ft
Answer:
The coordinates of point S are (5, 9) will make line PQ // line RS ⇒ A
Step-by-step explanation:
<em>Parallel lines have the same slopes</em>
The slope of a line = Δy/Δx, where
Let us first find the slope of the line PQ.
∵ P = (-2, -2) and Q = (0, 7)
∴ Δx = 0 - (-2) = 0 + 2 = 2
∴ Δy = 7 - (-2) = 7 + 2 = 9
∴ The slope of PQ = 9/2
∵ Line PQ // line RS
∴ The slope of line PQ = the slope of line RS
∴ The slope of line RS =9/2
∵ Point R = (3, 0) and point S = (x, y)
∵ The slope of line RS = 9/2
∵ The slope = Δy/Δx
∴ Δy/Δx = 9/2
→ That means Δy = 9 and Δx = 2
∵ Δy = y - 0
∵ Δy = 9
∴ 9 = y
∵ Δx = x - 3
∵ Δx = 2
∴ 2 = x - 3
→ Add 3 to both sides
∴ 2 + 3 = x - 3 + 3
∴ 5 = x
∴ The coordinates of point S are (5, 9) will make line PQ // line RS
I hope this helps! Use slope intercept form to find your y intercept and slope. Once you plot your y intercept (0,1), use your slope (3) to go up three units and to the right one unit.
Step-by-step explanation:
<em>Given</em>
<em>3x </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>1</em><em> </em><em>)</em><em> </em><em>+</em><em> </em><em>2</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>x²</em>
<em>3x²</em><em> </em><em>-</em><em> </em><em>3x </em><em>+</em><em> </em><em>2</em><em> </em><em>=</em><em> </em><em>-</em><em>x²</em>
<em>3x²</em><em> </em><em>+</em><em> </em><em>x²</em><em> </em><em>-</em><em> </em><em>3x </em><em>+</em><em> </em><em>2</em><em> </em><em>=</em><em> </em><em>0</em>
<em>4x²</em><em> </em><em>-</em><em> </em><em>3x </em><em>+</em><em> </em><em>2</em><em> </em><em>=</em><em>0</em>