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2 years ago

A horizontal line test is used to determine weather a function is

Mathematics

2 answers:

stiv31 [10]2 years ago

4 0

Answer:

Mathwords: Horizontal Line Test. A test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one. Note: The function y = f(x) is a function if it passes the vertical line test.

BRAINIEST PLEASE!!!

Lana71 [14]2 years ago

3 0

Answer:

A horizontal line test is used to determine if a function is one to one. If the line intersects a functions graph more than one then the function is not one to one.

Step-by-step explanation:

The function y=f(x) is a function if it passes the vertical line test.

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Let y be inversely proportional to x. if x doubles, what happens to y?

Mila [183]

When it is said that a variable is inversely proportional to another, it is best to write out an equation to represent it.

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y=k/x (where k is a constant number like 1 or 2, etc)

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3 years ago

Frank has a compass but no straightedge. Which of the following can Frank construct with just the compass?

Bezzdna [24]

Answer:

(D) A circle

Step-by-step explanation:

The question says that Frank does not have a straightedge. All the options except for a circle have straight lines in them, which means that you need a straightedge to draw them. However, a circle does not require a straightedge since it has no straight lines. This shows that the only possible answer would be D (a circle).

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3 years ago

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Evaluate the expression. 2.15(3)2=

Elina [12.6K]

Answer:

12.9

Step-by-step explanation:

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3 years ago

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A garden is shaped in the form of a regular heptagon (seven-sided), MNSRQPO. A circle with center T and radius 25m circumscribes

Alenkinab [10]

The relationship between the sides MN, MS, and MQ in the given regular heptagon is $\dfrac{1}{MN} = \dfrac{1}{MS} + \dfrac{1}{MQ}$

The area to be planted with flowers is approximately 923.558 m²

The reason the above value is correct is as follows;

The known parameters of the garden are;

The radius of the circle that circumscribes the heptagon, r = 25 m

The area left for the children playground = ΔMSQ

Required;

The area of the garden planted with flowers

Solution:

The area of an heptagon, is;

$A = \dfrac{7}{4} \cdot a^2 \cdot cot \left (\dfrac{180 ^{\circ}}{7} \right )$

The interior angle of an heptagon = 128.571°

The length of a side, S, is given as follows;

$\dfrac{s}{sin(180 - 128.571)} = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)}$

$s = \dfrac{25}{sin \left(\dfrac{128.571}{2} \right)} \times sin(180 - 128.571) \approx 21.69$

$The \ apothem \ a = 25 \times sin \left ( \dfrac{128.571}{2} \right) \approx 22.52$

The area of the heptagon MNSRQPO is therefore;

$A = \dfrac{7}{4} \times 22.52^2 \times cot \left (\dfrac{180 ^{\circ}}{7} \right ) \approx 1,842.94$

$MS = \sqrt{(21.69^2 + 21.69^2 - 2 \times 21.69 \times21.69\times cos(128.571^{\circ})) \approx 43.08$

By sine rule, we have

$\dfrac{21.69}{sin(\angle NSM)} = \dfrac{43.08}{sin(128.571 ^{\circ})}$

$sin(\angle NSM) =\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ})$

$\angle NSM = arcsin \left(\dfrac{21.69}{43.08} \times sin(128.571 ^{\circ}) \right) \approx 23.18^{\circ}$

∠MSQ = 128.571 - 2*23.18 = 82.211

The area of triangle, MSQ, is given as follows;

$Area \ of \Delta MSQ = \dfrac{1}{2} \times 43.08^2 \times sin(82.211^{\circ}) \approx 919.382^{\circ}$

The area of the of the garden plated with flowers, $A_{req}$ , is given as follows;

$A_{req}$ = Area of heptagon MNSRQPO - Area of triangle ΔMSQ

Therefore;

$A_{req}$ = 1,842.94 - 919.382 ≈ 923.558

The area of the of the garden plated with flowers, $A_{req}$ ≈ 923.558 m²

Learn more about figures circumscribed by a circle here:

brainly.com/question/16478185

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2 years ago

Given that the following statement is true

Makovka662 [10]

Answer:

C IS THE ANS COS ALL POLYGONS ARE CLOSED AND IF IT NOT CLOSED IT NOT A POLYGON

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2 years ago