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3 years ago

Question 132 .. .. .. .. ..

Mathematics

1 answer:

Eddi Din [679]3 years ago

4 0

Answer:

∠LOM is 48°

Step-by-step explanation:

∠MOL+∠MON=180°

6x°+12°+7x°-92°=180°

13x°-80°=180°

Add 80° to both sides

13x°=260°

Divide both sides by 13

x°=20°

Plugging x° into the equation for ∠LOM, we get:

7×20°-92°=

140°-92°=

48°

∠LOM is 48°

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Help with those three please!!

Scilla [17]

Answer:

Part 1) Option A. The axis of symmetry is x=4

Part 2) Option C. minimum

Part 3) Option A. (4,-4)

Part 4) Option B. (2,0) and (6,0)

Step-by-step explanation:

we have

$f(x)=x^{2}-8x+12$

Part 1) What is the axis of symmetry of the parabola described by the equation above?

we know that

The equation above is a vertical parabola open upward

The axis of symmetry is the x-coordinate of the vertex

Find the vertex of the parabola (convert the equation in vertex form)

$f(x)-12=x^{2}-8x$

$f(x)-12+16=x^{2}-8x+16$

$f(x)+4=x^{2}-8x+16$

$f(x)+4=(x-4)^{2}$

$f(x)=(x-4)^{2}-4$ ----> equation in vertex form

The vertex of the parabola is (4,-4)

The axis of symmetry is x=4

Part 2) The vertex of the equation above is also

we know that

The equation above is a vertical parabola open upward

therefore

The vertex is a minimum

Part 3) What is the vertex of the parabola described by the equation above

we know that

The equation of the parabola into vertex form is equal to

$f(x)=(x-4)^{2}-4$

therefore

The vertex of the parabola is (4,-4)

Part 4) What are the x-intercepts of the parabola described by the equation above

we know that

The x-intercepts are the values of x when the value of y is equal to zero

$f(x)+4=(x-4)^{2}$

f)x)=0

$4=(x-4)^{2}$

take square root both sides

$(x-4)=(+/-)2$

$x=4(+/-)2$

$x=4(+)2=6$

$x=4(-)2=2$

therefore

The x-intercepts are

(2,0) and (6,0)

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3 years ago

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Veseljchak [2.6K]

Should be around 108 in

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3 years ago

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Westkost [7]

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3 years ago

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stellarik [79]

Answer:

x>1/2

Step-by-step explanation:

2x+1−8x<8x−2−8x

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4 years ago

Photo is above. Show work thank you. Questions at bottom.

Lynna [10]

Answer:

surface are: 300 cm2

volume: 450cm3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Surface area of a box = 2wl + 2hw + 2 lh

Where w is the width of the box, l is the length of the box, and h is the height of the box.

The top sides and bottom have only length and width, since there is no top side, the surface area is equal to the outer 5 surfaces.

S = wl + 2hw + 2 lh

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For the volume we simply apply:

Volume of a rectangular prism: length x width x height

V = 15x10x3 = 450cm3

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3 years ago