10. Infinitely many solutions:
Simplify this equation:
When the equation becomes
This equality is true for all x, thus the equation has infinitely many solutions.
11. The equation should have one solution x=-1.
First, simplify the equation:
This equation will have solution x=-1 when
Therefore, the initial equation is
12. The equation should have infinitely many solutions.
Simplify it:
When this equation will have infinitely many solutions.
Answer:
<h3>The length of y is 62.82 cm.</h3>Step-by-step explanation:
We are given a right triangle with an angle 30°.
Opposite side of angle 30° is x and adjacent side is y.
Also, given length of side x=36.25 cm.
In order to find the value of y, we need to apply tangent trigonometrical ratio.
We know,
Therefore,
Plugging values of and x=36.25, we get
Plugging value of in above equation, we get
On multiplying both sides by y, we get
0.577y=36.25
Dividing both sides by 0.577, we get
y=62.82
<h3>Therefore, the length of y is 62.82 cm.</h3>The image of the pentagon under reflections in line m and then line t is shown below.
<h3>What is a transformation of geometry?</h3>A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
The image of the figure under reflections in line m and then line t.
The reflection of the pentagon DEFG will be given in the figure.
More about the transformation of geometry link is given below.
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