The statements that are true about ΔLNM are:
Hypotenuse = LN
Opposite side to ∠L = NM
Side opposite to ∠N = ML.
<h3>What is a Right Triangle?</h3>
A right triangle has right angle (angle 90) that is opposite to the longest side (hypotenuse).
From the image given, the right triangle has a right angle at angle M, which is oppposite to the hypotenuse, LN.
Therefore, the true statements about the triangle are:
- Hypotenuse = LN
- Opposite side to ∠L = NM
- Side opposite to ∠N = ML.
Learn more about the right triangle on:
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As for the domain, the only restriction comes from the logarithm. The argument of a logarith must be strictly positive, so we have

As for the range, we have:
- The range of
are all real numbers - If we change to
we're translating the function horizontally, so the range remains the same - If we change to
we're stretching the function horizontally, so the range doesn't change - If we change to
we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.
Cost price per bottle of juice = $1.10
Selling price per bottle of juice = $2.50
Profit per bottle of juice = $2.50 - $1.10 = $ 1.40
Let B be the number of bottles needed to sell in one day in order to equal its daily costs.
$1200 = $1.40B
857.14285714285714 = B
858 = B (round off to the nearest bottle)
The company must sell 858 bottles of juice in one day in order to equal its daily cost.
Hope this helps! =)
T) -7x+10y=20. M) -3x+y=-2 - ,
2(8x-5y)=35(2) -1(x+y)=-6(-)
-7x+10y=20. -3x+y=-2
16x-10y=70. -x-y=6
9x=90. -4x=4
[x=10] [x= -1]
-7(10)+10y=20. -3(-1)+y=-2
-70+10y=20. 3+y=-2
10y=90. [y= -5]
[y=9]