To find equivalent expressions, distribute the 7 into (-3/4x - 3)
7(-3/4x) = -21/4x, which simplified is -5 1/4x
7(-3) = -21
Put together, this is -5 1/4x - 21 (answer 1)
Another way to write an equivalent expression would be to not simplify 7 times the distributed term. You could write 7(-3/4) + 7(-3) which makes #5 correct as well. #5 is 7(-3/4x) - 7(3). If this was simplified, it would equal answer choice 1.
#2 is not correct because 7 times -3/4x does not equal -7 3/4x
#3 is not correct because -21/4 simplifies to -5 1/4, not -6 1/4
#4 is not correct because 7(-3) does not equal -4
Answer:
<u><em>(x+2)^2 + (y-6)^2 = 41</em></u>
Step-by-step explanation:
The equation for a circle is (x-h)^2+(y-k)^2=r^2
So first, it is known that the circle's center is at (-2,6), Therefore, this can be filled in:
(x+2)^2+(y-6)^2=r^2
Next, we need to find the radius, and one of the points is already known, being (-6, 1)
With this, find the distance between these two points by doing the Pythagorean Theorem, a^2+b^2=c^2. The a^2 would be the x value changed and the b^2 would be the y value changed between the two numbers. Note that this is interchangeable.
To find a:
-2 to -6 = change of 4
To find b:
6 to 1 = change of 5
Next, write out the equation for this:
4^2+5^2=c^2
16+25=c^2
41=c^2
c = √41
The radius would be √41, so the equation can now be completed. Since c will be brought to the second power, this will cancel out the square root.
(x+2)^2 + (y-6)^2 = 41
Hope that helps.
Answer:
7 x + 3 +24
Step-by-step explanation:
The answer is 7 x + 3 =24 because its a problem solving
Answer:
transitional thinking
Step-by-step explanation:
The ability to understand the connection between one fact and another, even though it is not stated, is called: transitional thinking
