The slope of the line given is -5/3
Steeper:
y= -2x+7/3
y=-7/4x + 3/2
Less steep:
y=-8/7x + 4/7
y=-3/2x+1/2
y=-4/3x+2/3
Hope this is helpful!
<span>Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.
1) 8(x + 7) = 8x + 56
2) 5(x - 10) = 5x - 50
3) 6(11 + x) = 66 + 6x
</span><span>Factor each expression. (Pull a common factor from each number)
COMPLETED EXAMPLE: 27 + 12 = 3(9 + 4) → (3 is the shared factor for 27 and 12)
4) 12 + 36 = 12 (1 + 3)
5) 16 + 20 = 4 (4 + 5)
Solve each expression using the distributive property.
6) 4 x 82 = 4 (80 + 2) = 320 + 8 = 328
7) 12 x 44 = 12 (40 + 4) = 480 + 48 = 528
</span><span>8) Mrs. S bought 9 folders and 9 notebooks. The cost of each folder was $2.50. Each notebook cost $4. First, write an expression for the problem then find the total cost.
Expression = 9f + 9n = 9($2.50) + 9($4)
Total cost =</span>9($2.50) + 9($4) = $22.5 + $36 = $58.5
Answer:
60 1/2
Step-by-step explanation:
Answer: Choice D)
The angle between the two vectors is approximately 71.6 degrees
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Work Shown:
Each time I write the word "dot" I mean "dot product".
|u| = length of vector u
|u| = sqrt(u dot u)
|u| = sqrt(<8,4> dot <8,4>)
|u| = sqrt(8*8 + 4*4)
|u| = sqrt(64 + 16)
|u| = sqrt(80)
|u| = sqrt(16*5)
|u| = sqrt(16)*sqrt(5)
|u| = 4*sqrt(5)
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|v| = length of vector v
|v| = sqrt(v dot v)
|v| = sqrt(<9,-9> dot <9,-9>)
|v| = sqrt(9*9 + (-9)*(-9))
|v| = sqrt(81+81)
|v| = sqrt(2*81)
|v| = sqrt(2)*sqrt(81)
|v| = sqrt(2)*9
|v| = 9*sqrt(2)
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u dot v = <8,4> dot <9,-9>
u dot v = 8*9 + 4*(-9)
u dot v = 72-36
u dot v = 36
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cos(theta) = (u dot v)/(|u|*|v|)
cos(theta) = (36)/(4*sqrt(5)*9*sqrt(2))
cos(theta) = (36)/(36*sqrt(10))
cos(theta) = 1/(sqrt(10))
cos(theta) = sqrt(10)/10
theta = arccos(sqrt(10)/10)
theta = 71.56505
which rounds to 71.6 when rounding to one decimal place (nearest tenth)
That's why the approximate answer is roughly 71.6 degrees
Answer:
rational
Step-by-step explanation:
