The dimensions of the house should be 7 m by 13 m.
If the house is to be centered, we will take the same amount from the width as we do from the length of the lot for the dimensions. This gives us (10-x) and (16-x) as the dimensions.
The area of a rectangle is found by multiplying the length and width:
(10-x)(16-x) = 91
Multiplying the binomials we have:
10*16 - x*10 - x*16 -x*(-x) = 91
160 - 10x - 16x --x² = 91
160-10x-16x+x² =91
Combine like terms:
160-26x+x²=91
Rewrite this in standard form:
x²-26x+160=91
Subtract 91 from both sides:
x²-26x+160-91 = 91-91
x²-26x+69 = 0
Factoring this, we look for factors of 69 that sum to -26. -23*-3 = 69 and -23+-3 = -26, so:
(x-23)(x-3) = 0
Using the zero product property we know that either x-23=0 or x-3=0, so x=23 or x=3.
x was the amount we take off of the width and length of the lot; if we took 23m off of it, 10-23 gives us a negative amount, which is not realistic. This means both the width and length are subtracted by 3.
10-3 = 7 and 16-3 = 13.
These are the dimensions of the house.
Answer:0.01944444444 if it is like that then there is going to be a line above 4 for repeating.
Step-by-step explanation:
<em>please let me know if this helps I had questions like this but I don't know if that what they are asking for you to do too! have a great day and I dont mean to be greedy but may i please have BRAINLIEST? </em>
The answer is on your book
Answer:
10, 20, 30, 40
15, 30, 45, 60
The first one is plus 10
The second on is plus 15
Step-by-step explanation:
Answer:
x ≤ 13/3
Step-by-step explanation:
4 - 3x ≥ -9
Isolate the variable, x. Treat the ≥ sign as an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 4 from both side:
4 (-4) - 3x ≥ -9 (-4)
-3x ≥ - 9 - 4
-3x ≥ -13
Next, divide -3 from both sides. Note that when you divide by a negative sign, you must flip the sign:
(-3x)/-3 ≥ (-13)/-3
x ≤ (-13)/(-3)
x ≤ 13/3
x ≤ 13/3 is your answer.
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