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3 years ago

The function g(x) varies directly with x^2, and g(x) 144 when x=6 which quadratic variation equation models situation

Mathematics

1 answer:

TEA [102]3 years ago

7 0

Hello,
y=k*x² and y=144 if x=6
==>144=k*36==>k=4

g(x)=4*x²

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Please simplify......

djyliett [7]

Answer:

11 $m^{4}$ n²

Step-by-step explanation:

Given

$\sqrt{121m^{8}n^{4} }$

= $\sqrt{121}$ × $\sqrt{m^{8} }$ × $\sqrt{n^{4} }$

= 11 × $m^{4}$ × n²

= 11 $m^{4}$ n²

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4 years ago

What are 9 decimals that round to 4.56 ?

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4.561, 4.562, 4.563, 4.564, 4.560

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3 years ago

In the diagram, ABCDE is a regular pentagon.

RSB [31]

The shape ABCDE is a regular pentagon with five sides, such that the five sides are congruent

<h3>Part A: Calculate ∠BAE</h3>

The angle BAE is a vertex angle, and it is calculated using:

BAE = 180 * (n - 2)/n

Where n= 5; i.e. the number of sides.

This gives:

BAE = 180 * (5 - 2)/5

Evaluate

BAE = 108°

Hence, the measure of angle BAE is 108°

<h3>Part B: The name of the quadrilateral ABCD</h3>

When the vertices A and B are joined together, the shape becomes a trapezoid.

Hence, the name of the quadrilateral ABCD is a trapezoid.

<h3>Part C (i) Calculate ∠EDX</h3>

See attachment for the new figure.

From the attached figure, we have:

∠EDX + ∠EDC = 180° ---- the sum of angles on a straight line

Where:

∠EDC = ∠BAE = 108°

So, we have:

∠EDX + 108° = 180°

Subtract 108° from both sides

∠EDX = 72°

Hence, the measure of angle EDX is 72 degrees

<h3>Part C (ii) What type of quadrilateral is BDXE?</h3>

The quadrilateral BDXE is a parallelogram.

This is so because the opposite sides of BDXE are parallel, but not congruent