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3 years ago

What is 26 cm : 4 m in simplest form

Mathematics

2 answers:

victus00 [196]3 years ago

4 0

Answer: 13cm2

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Step-by-step explanation:

tangare [24]3 years ago

3 0

Answer:

1.3:2

Step-by-step explanation:

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Find the point (x,y)<br>on the line y = x that is equidistant from the points (-6,2) and (10,-9)

Nezavi [6.7K]

Answer:

(14.1, 14.1)

Step-by-step explanation:

If the point (x,y) is on the line y=x, then it has coordinates (x,x).

Find the distances from this point to points (-6,2) and (10,-9):

distance from (x,x) to (-6,2): $\sqrt{(x-(-6))^2+(x-2)^2}=\sqrt{(x+6)^2+(x-2)^2}$
distance from point (x,x) to (10,-9): $\sqrt{(x-10)^2+(x-(-9))^2}=\sqrt{(x-10)^2+(x+9)^2}$

Equate these distances:

$\sqrt{(x+6)^2+(x-2)^2}=\sqrt{(x-10)^2+(x+9)^2}$

Square this equation:

$(x+6)^2+(x-2)^2=(x-10)^2+(x+9)^2\\ \\x^2+12x+36+x^2-4x+4=x^2-20x+100+x^2+18x+81\\ \\8x+40=-2x+181\\ \\8x+2x=181-40\\ \\10x=141\\ \\x=14.1$

So, the coordinates are (14.1, 14.1)

6 0

3 years ago

I need help with these two please :’)

tatiyna

Answer:

59)

Therefore the height of the pyramid is 14 meter.

60)

Therefore the Diameter of Cone is 17.32 cm.

Step-by-step explanation:

59 )

Given:

Shape is Rectangular Pyramid,

Length = 3 meter

Width = 8 meter

Volume of Rectangular Pyramid = 112 cubic meter

To Find:

Height:

Solution:

We Know,

$\textrm{Volume of Rectangular Pyramid}=\frac{1}{3}(Length\times Width\times Height)$

Substituting the given values we have

$112=\frac{1}{3}(3\times 8\times Height)\\ \\\therefore Height=\frac{336}{24}\\\\\therefore Height=14\ meter\\$

Therefore the height of the pyramid is 14 meter.

60 )

Thee shape is of Cone

Given:

Height= 5 cm

Volume of cone = 125 π cm³

To Find:

Diameter of a cone = d = ?

Solution:

We know,

$\textrm{Volume of cone}=\frac{1}{12}\pi (Diameter) ^{2}\times Height$

Substituting the given values we have

$125\pi =\frac{1}{12}\pi d^{2}\times 5\\ \\d^{2}=25\times 12\\ \\d^{2}=300\\\\d=17.32\\ \therefore Diameter = 17.32\ cm$

Therefore the Diameter of Cone is 17.32 cm.

6 0

3 years ago

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Pani-rosa [81]

Follow along with these steps, if you need an explanation, please let me know. :3

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3 years ago

Find the Vertex given the Standard form<br><br> y = -7x^2+x-112

Andreyy89

Answer:

The x= intercept is (0,0).

The y= inttercept is (0,0).

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3 years ago

Factor 2xSquared + 3x+1

Fiesta28 [93]

2x² + 3x + 1
2x² + 2x + x + 1
(2x + 1)(x + 1)

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3 years ago