The answer is -485.
To find this we first need to get rid of the 5 in the denominator.
100 =
So we multiply each side by 5.
500 = 15 - x
Now we need to get rid of the 15. So we subtract 15 from both sides.
485 = -x
Then since our x is negative, we need to divide by -1.
-485 = x
Plug in your Y value into the bottom equation like so:
4x + 3x-3=11, combine like terms
7x-3=11 solve for x
7x= 14
x=2
Plug in x value into first equation
y = 3(2) -3
y= 6-3, y = 3
answer: (2,3)
Answer:
- sin C=h/a
- substitution property of equality
- commutative property of multiplication
Step-by-step explanation:
Because two points determine a line, you can draw altitude BD perpendicular to AC with height h. By the definition of a sine ratio, <u>sin(C) = h/a</u>, which can be rearranged into a·sin(C) = h. The area of △ABC is A=1/2bh. The <u>substitution property of equality</u> can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the <u>commutative property of multiplication</u>.
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The mnemonic SOH CAH TOA reminds you that the sine ratio is ...
Sin = Opposite/Hypotenuse
Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...
sin(C) = h/a
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The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:
1/2bh = 1/2ba·sin(C)
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The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...
ba = ab
and
A = 1/2ba·sin(C) = 1/2ab·sin(C)
Line segment AB is 4 units
Line segment CD is
Line segment MN is 6 units
Line segment PQ is 7 units
The line segment of greatest length is PQ
