ANSWER
The first three expressions will simplify to a rational answer.
EXPLANATION
Let us simplify the expressions then we can see which of them are rational.
A.
We multiply out the roots to get
This simplifies to
This is a rational number hence the answer is rational.
B.
This is also a rational solution.
C.
This one too is a rational solution.
D.
This is an irrational answer because √3 is an irrational number and multiplying a rational number, 4 by an irrational number results in an irrational number.
The coordinates of the point after the two reflections are (0.3,-7/10).
<h3>What is the reflection?</h3>
A reflection is a mapping from an isometric hyperplane with a set of fixed points acting as the reflection's axis or plane from a Euclidean space to itself. A figure's reflection creates its mirror image of that figure in the plane or axis of the reflection.
Given that, the point (-0.3, 7/10) is reflected over the y-axis and then over the x-axis respectively.
The coordinates of the point after the reflection in the y-axis are:
(0.3, 7/10)
Now, the coordinates of the point after the reflection in the x-axis are:
(0.3, -7/10)
Hence, the coordinates of the point after the two reflections are (0.3,-7/10).
Learn more about the reflection:
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Answer:
and
Step-by-step explanation:
Let the number be x.
The product of 2 and the number x, is written as
If the product of 2 and the number x is ¾;
Then we can write the equation:
When we divide both sides by 2, we get:
This implies that:
This simplifies to
Therefore the statements which are true are:
and
Answer:
13° , 29° , 138°
Step-by-step explanation:
let x be the smallest angle , then
2x + 3 is the middle angle and
2x + 3 + 109 is the largest angle
summing the 3 angles and equating to 180
x + 2x + 3 + 2x + 3 + 109 = 180 , that is
5x + 115 = 180 ( subtract 115 from 180 )
5x = 65 ( divide both sides by 5
x = 13
2x + 3 = 2(13) + 3 = 26 + 3 = 29
2x + 3 + 109 = 29 + 109 = 138
the 3 angles are 13° , 29° , 138°
Answer:
one solution only
Step-by-step explanation:
16y + 7 = -3y + 10 + 8y
16y + 3y - 8y = 10 - 7
11y = 3
y = 3/11