Answer:
1. 3 = 5x2 – 10x
2. 8 = 5(x2 – 2x + 1)
3. StartFraction 8 Over 5 EndFraction = (x – 1)2
Step-by-step explanation:
3-4x=5x^2-14x
3=5x^2-14x+4x
3=5x^2-10x
5x^2-10x-3=0
1. 3 = 5x2 – 10x
2. 8 = 5(x2 – 2x + 1)
8=5x^2-10x+5
8-5=5x^2-10x
3=5x^2-10x
3. StartFraction 8 Over 5 EndFraction = (x – 1)2
8/5=x^2-2x+1
Cross product
8=5(x^2-2x+1)
8=5x^2-10x+5
8-5=5x^2-10x
3=5x^2-10x
Answer: Using the proportion beteween the sides of the similar triangles, the distance between the endpoints of the beams P and Q is 3.2 inches.
Option a. 3.2 inches
Solution
PR=3.7 inches; CR=5.6 inches; AC=4.9 inches
As the two triangles QRP and ARC are similar, their sides must be proportionals, then:
PQ/AC=PR/CR=QR/AR
Replacing the given values in the proportion above:
PQ/(4.9 inches)=(3.7 inches)/(5.6 inches)=QR/AR
PQ/(4.9 inches)=3.7/5.6
Solving for PQ: Multiplying both sides of the equation by 4.9 inches:
(4.9 inches)[PQ/(4.9 inches)]=(4.9 inches)(3.7/5.6)
PQ=(4.9)(3.7)/5.6 inches
PQ=18.13/5.6 inches
PQ=3.2375 inches
Rounding to one decimal place:
PQ=3.2 inches
Ten thousands
if you're speaking of place value?
You need to round 6.018 to 6 then multiply it by 9 which results in 54!
False. 0^0 is one. Any number raised to the zero is 1.
