Answer:
d
Step-by-step explanation:
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)
Answer:
C
Step-by-step explanation:
hope this helps!!! have a nice day
Answer:
first we will collect like term
2x-x+3x+4y+7y
4x+11y
there fore the answer is <u>4x+11y</u>
Answer:
Q=(2,-1)
Step-by-step explanation:
We are given point as N=(-1,2)
Point Q is symmetric to point N with respect to line y=x
we know that any point symmetric with respect to line y=x means inverse of that point
For example: If we have to find symmetric about y=x line of point (a,b)
a changes to b
and b changes to a
so, symmetric of (a,b) with respect to y=x line would be (b,a)
We have point N(-1,2)
-1------>2
2----->-1
so, we get point as
Q=(2,-1)
