A rectangle has 2 sets of 2 sides; each set has the same length or width (depending on where it is on the rectangle).
If you have 2 sides with length, which can be expressed as 2L, and 2 sides of width, which can be expressed as 2(5) because they gave you the width in the problem, and the perimeter is 16...
2L + 2(5)=16. All you have to do is solve for <em>L</em>, which means <em>length</em>.
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2*5 is 10.
2L + 10 =16.
Subtract 10 on both sides.
2L = 6.
Divide both sides by 2.
L=3.
The length is 3. Let's check to make sure we're right:
2(3) + 2(5) = 16.
2*5 is 10, and 2*3 is 6. 6 + 10 is 16. We did it! I hoped this helped!
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Please don't forget to choose which answer is Brainliest!</em>
When you rotate across the x-axis it will be in quadrant 4 now and then when rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all you do is make both x and y negative.
hope this helps:))
Answer:
C: (3,1)
Step-by-step explanation:
y = -4x² + 24x - 35
y = -4(x² - 6x) - 35
y = -4[x² - 2(x)(3) + 3² - 3²] - 35
y = -4(x - 3)² -4(-9) - 35
y = -4(x - 3)² + 36 - 35
y = -4(x - 3)² + 1
Vertex (3,1)
=
Multiply both sides by 12, so that we get rid of the fraction in x.
12 · (x+3)/12 = 2/7 · 12
Simplify.
x + 3 = 24/7
Then, subtract 3 from both sides, so that "x" gets isolated.
x = 24/7 - 3
Turn "3" into an improper fraction so that we could find the value of x easier.
3 = 21/3
So :
x = 24/7 - 21/7
Simplify.
x = 3/7
~Hope this helps!~
