Answer:
The last answer; 12.
Step-by-step explanation:
In order to solve this, use substitution. Since it gives you an equation for y, substitute that equation in the other formula as y. This will give you:
Then simplify:
Since 6x - 6x cancels out, you are left with 12.
Step-by-step explanation:
Hi,
I agree with what you did. You could also add y on both sides and get 3x = y + 5 and then divided by three to get...
x = 5 + y /3
(the 5 and y are being divided by 3)
But that's just complicated, it works, but it's complicated. What you did is correct and what I gave you is the value of x, but I'm 100 percent sure yours is correct.
Hope this helps
Answer:
cos theta=8/17
8/17=A/H
finding O,
O ² + A² =H ²
(8)²+O²=(17)²
64+O²=289
O²=289-64
O²=225
O=√225
O=15
we know that H=17, A=8, O=15
therefore, the other trigonometric ratios are
sinФ=O/H=15/17
tanФ=O/A=15/8
cosecФ=H/O=17/15
secФ=H/A=17/8
cotФ=A/O=8/15
hope it helps u!
Let's go through the steps of factoring that Venita should take.
1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b( )
2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses.
32ab ÷ 8b = 4a
8b ÷ 8b = 1
This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!
Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
Answer:
Area of circle = 200.96 units²
Step-by-step explanation:
The formula to find the area of a circle is: πr², where r is the radius (which is half of the diameter)
So the diameter is 16 and of 16 is 8, which is the radius.
Sub it into the formula of a circle and you would get the area of a circle.
3.14 x 8²
Use calculator
Area of circle = 200.96 units²
