Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
<span>We have the function: f ( x ) = ( x + 6 ) ( x + 6 ) = ( x + 6 )^2. This is the square of the binomial. It has only one zero ( only one x- intercept ). When f ( x ) = 0, ( x + 6 )^2 = 0. x + 6 = 0; x = - 6. Therefore point ( - 6 , 0 ) is the only x - intercept. Answer: D ) f ( x ) = ( x + 6 ) ( x + 6 ).</span>
For the first three questions
5/12 = 35/N
Rearrange: N = 35 / (5/12) = ( 35 / 0.4167 ) = N = 83.99
7/18 = N / 9
Rearrange: N = (7/18)* 9 = 3.5
(2/5) * 240 = 96
He spent $96 on supplies
Answer: C the set of all integers, the set of all rational numbers, and the set of all real numbers
Step-by-step explanation: The value of square root of 9 is ±3. This means that there two answers to square root of 9: 3 and -3.
As far as 3 is concerned, it is one of the elements of the natural number set. It is already known that natural numbers are also whole numbers, also integers, also rational numbers, and also real numbers.
As far as -3 is concerned, it is not a natural number since the set of natural numbers does not contain negative numbers. -3 is an integer. Which means that -3 is also a rational number and also a real number.
After identifying the common sets and taking the intersection of both the above classifications, it yields the set of all integers, the set of all rational numbers, and the set of all real numbers
Hopes this helps bro
Answer:
Reflection.
Step-by-step explanation:
Reflection moves points across a specified line so that the line is the perpendicular bisector of each line segment connecting corresponding pre-image and image points.
On the other hand, "Translation" moves points the same distance along lines that are parallel to each other while "Rotation" moves points along concentric circles and through the same angle of rotation.
At an angle of 90°, a line of reflection intersects the line segments connecting corresponding points of the pre-image under a reflection.
Basically, a reflection allows us to flip an object or figure across a line, point or plane without any change in its shape or size.
<em>Hence, to reflect an object or a figure such as a triangle simply means that its mirror image would be produced with respect to a line; this line is generally referred to as the line of reflection. </em>
