<span>2t-7-5t=11
Start by combing like terms:
2-5t=-3t
Now we have:
-3t-7=11
Add 7 to both sides
-3t=18
To isolate t we divide both sides by -3
Final answer:
t=-6 </span>
<h3>
Answer: Choice B</h3><h3>
sqrt(3)/2, 1/2, sqrt(3)</h3>
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Explanation:
Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12
Sin(angle) = opposite/hypotenuse
sin(A) = BC/AB
sin(A) = 6sqrt(3)/12
sin(A) = sqrt(3)/2
---------------
Cosine is the ratio of the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(A) = 6/12
cos(A) = 1/2
---------------
Tangent is the ratio of the opposite and adjacent
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 6sqrt(3)/6
tan(A) = sqrt(3)
The answer is B because -84 divided by -28 equals 3 and -6 divided by -2 equals 3
Answer:
F(1)+F(5)= 30
Step-by-step explanation:
F(1)=1^2+2=1+2=3
F(5)=5^2+2=25+2=27
27+3=30
Answer:
The area in factored form is 
.
The area in standard form is 
.
Step-by-step explanation:
The area of a rectangle is length times width.
So the area here is (x+2)(x-5).
They are probably not looking for A=(x+2)(x-5) because it requires too little work.
They probably want A in standard form instead of factored form.
Let's use foil:
First x(x)=x^2
Outer: x(-5)=-5x
Inner: 2(x)=2x
Last: 2(-5)=-10
---------------------Adding together: 
.
The area in factored form is .
The area in standard form is .
