The length of a rectangle is 10 feet more than the width. The area of the rectangle is 96 square feet. Find the dimensions of the rectangle. Solve algebraically.
Answers
Answer: The dimensions of the rectangle are 6ft and 16ft.
Step-by-step explanation:
Let the width of the rectangle be y
Let the length of the rectangle be y+10
Area= 96ft
Since area of a rectangle is length multiplied by width
y(y+10) = 96
y^2 +10y =96
y^2 +10y -96= 0
Solving algebraically,
y^2 +16y - 6y - 96= 0
y(y+16) - 6(y+16)= 0
(y-6)(y+16)= 0
y-6= 0
y =6ft
Recall that the width was denoted as y. That means the width is 6ft.
Since length is y+10= 6+10 = 16ft
Length is 16ft, width is 6ft.
Answer:
Dimensions of the rectangle = 16 by 6
Step-by-step explanation:
Let the length and breadth represent L and B
Hence L= B+10=------eqn 1
LB = 96 -----eqn2
From eqn1 L=B+10, it's substituted into eqn2
B(B+10)=96
B²+10B-96=0
It's now solved quadratically
B²+16B-6B-96
B(B+16)-6(B+16)=0
(B-6)(B+16)=0
B=6 and -16
Hence B=6 ft since it's the positive value
L= 96/B = 96/6 = 16 ft
Dimensions of the rectangle = 16 by 6
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Answers
I suppose it is 4x+2y=12
==>4*0+2y=12
==>y=6 and x=12-4*6=-12
Answers
Answer:
u = t/18 - 5
Step-by-step explanation:
45n + 18u = t where t is the total price, n is the number of new video games, and u is the number of used video games
plug in two:
90 + 18u = t
solve in terms of u:
18u = t - 90
u = t/18 - 5
can i get a thanks and brainliest please?
B) it doesn’t matter if some of them are indistinguishable .
C) the number of permutations is determined by the number of items that don’t repeat.
D) the number of permutations isn’t dependent on the items that repeat.
Answers
ABC
ACB
BAC
BCA
CBA
CAB
Since there are 3 choices for the first spot, two for the next and 1 for the last we end up with (3)(2)(1) = 6 permutations. Using the symbolism of permutations we have:
Now let’s see how this changes if the letters are AAB. Since the two As are identical, we end up with fewer permutations.
AAB
ABA
BAA
To make the point a bit better let’s think of one A are regular and one as bold A.
ABA and ABA look different now because we used bold for one of the As but if we don’t do this we see that these are actual the same. If they represented a word they would be the same exact word.
So in this case the formula would be
Hopefully, this is enough to let you see that the answer is A. The number of permutations is limited by the number of items that are identical.
Answers
Answer:
Zeros: -3 odd mult.; 0 odd mult.; 2 odd mult.
Positive leading coefficient
Odd degree likely 3
Step-by-step explanation:
A polynomial graph has several features we look for to determine the equations.
- The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity.
- Degree is the exponent or multiplicity of each zero. Therefore if we know the multiplicity of each zero we can add them together to find or make an educated guess for the degree of the entire polynomial.
- The shape of the graph tells us what type of polynomial. Odd degrees have a backwards S shape. Even degrees have a W shape. The shape can even tell us the if the equation has a positive or negative leading coefficient. Upside down W or an M shape is negative. While a sideways S shape is negative.
3,000 ÷ 200 = 15
4,000 ÷ 100 = 40
4,000 ÷ 10 = 400
3,000 ÷ 20 = 150
Answers
Please I need this ASAP
Answers
Answer:
4
Step-by-step explanation:
- -36 - (-40) = -36 + 40
- -36 + 40 = 4
I hope this helps!
Answer:
4
Step-by-step explanation:
because -36+ 40 =4 you take the subtraction and give it to the 40