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zimovet [89]
3 years ago
6

Evaluate the function when x=4

Mathematics
1 answer:
MrRa [10]3 years ago
4 0

The graph of the function is defined in the attached file please find it.

<h3>Graph function:</h3>

\to \bold{x=4}

  • In the given question, the x-axis holds a value that is "4".
  • The holding value is "4" which is a positive number, and in the graph, it represents the positive value, which is defined in the attached file please find the attached file.

Find out more information about the function here:

brainly.com/question/12406000

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Given: △FKL, FK=a
LuckyWell [14K]

Answer:

FL= \frac{a (\sqrt{3} + 1)}{\sqrt{2} }

Step-by-step explanation:

As given  in figure 1 below:

FK = a, m∠F = 45° and m∠L = 30°

Construction: Draw an altitude KE from point K on FL.

Now, In ΔFEK,

FE = EK (Sides opposite to equal angles of a triangle)

Let FE = EK = x  

Now, using pythagoras In  ΔFEK,

(FK)^{2} = (FE)^{2} + (KE)^{2}  

(a)^{2} = (x)^{2} + (x)^{2}

(a)^{2} = 2x^{2}

x = \sqrt \frac{a^{2} }{2} = \frac{a}{\sqrt{2} }

∴ FE = EK = \frac{a}{\sqrt{2} }

Now in ΔEKL, EK = \frac{a}{\sqrt{2} }

Using trigonometry ratio,

TanФ = Altitude\ Base

Tan \theta = \frac{KE}{EL}

Tan 30° = \frac{a/\sqrt{2} }{EL}

\frac{1}{\sqrt{3} } = \frac{a}{\sqrt{2} EL}

EL = \frac{\sqrt{3}a}{\sqrt{2} }

Now FL = FE + EL

FE = \frac{a}{\sqrt{2} } and EL = \frac{\sqrt{3}a}{\sqrt{2} }

∴ FL = \frac{a}{\sqrt{2} } + \frac{\sqrt{3}a }{\sqrt{2} } = \frac{a (\sqrt{3} + 1)}{\sqrt{2} }

4 0
4 years ago
Lori solved this multiplication problem.
Afina-wow [57]
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6 0
3 years ago
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Which of the following correctly maps figure ABCD onto figure EFGH? Select two that apply.
Minchanka [31]

Answer:

Option A

Step-by-step explanation:

From the graph attached,

Distance of point A of rectangle ABCD = 5 units

Distance of point E of rectangle EFGH = 5 units

Similarly, all the vertices of the rectangles ABCD and EFGH are equidistant from the y-axis.

Therefore, rectangle ABCD and rectangle EFGH may overlap each other by reflecting each other across y-axis.

Let's check by the rule of reflection,

Rule for the reflection of a point (x, y) across y-axis is given by,

(x, y) → (-x, y)

Following this rule,

A(-5, 5) → E(5, 5)

B(-3, 4) → F(3, 4)

C(-4, 1) → G(4, 1)

D(-6, 2) → H(6, 2)

Therefore, rule for the reflection is applicable in this question.

Option A will be the answer.

5 0
3 years ago
Can anybody help please
irina [24]
The answer would be d
7 0
3 years ago
By running the same software on a computerthat is 40% faster, how many more frames per second can be displayedthan on the slower
labwork [276]

Answer:

Step-by-step explanation:

Let the current display rate be f (in frames per second).  If the new computer is 40% faster, then the new display rate will be 1.40f (frames per second).

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