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masha68 [24]
3 years ago
15

-2x-x+5=-2x+3x-10x pfff

Mathematics
1 answer:
Ket [755]3 years ago
3 0
-2x-x+5=-2x+3x-10x  cancel equal terms
-x+5=3x-10x  collect like terms
-x+5=-7x   move terms
-x+7x=-5  collect like terms
6x=-5   divide both sides by 6

x=-5/6 or 0.83
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Given the vectors u = <5,-1> and v = <1,12>, find -7u-3v. *
zepelin [54]

You multiply vectors and scalar simply by multiplying each component by that scalar:

-7u = \langle-35,7\rangle,\quad -3v=\langle -3,-36\rangle

Finally, you sum two vectors by summing the correspondent coordinates:

-7u-3v = \langle-35,7\rangle+\langle -3,-36\rangle = \langle-38,-29\rangle

4 0
3 years ago
X^2-4X+??=(X-??)^2? Complete the square to form a true equation
tatiyna
To complete the square you need to halve the linear coefficient -4/2, square it, 4, and add that value, giving you:

x^2-4x+4  and that is a perfect square equal to:

(x-2)^2
6 0
3 years ago
9. A 3D printer uses one spool of filament to produce 20 congruent solids. Suppose you want to produce similar solids that are 1
Evgesh-ka [11]

Answer:

15 figures

Step-by-step explanation:

To know with this, and knowing that each dimension is 10% longer, let's do a simple example assuming some random values.

Let's suppose that you have cylinder with a radius of 3 cm and height of 5 cm. The volume of this cylinder is:

V = π*(3)^2*5 = 45π cm^3

Now, if we raise the dimensions by 10%, the radius and height will be 3.3 and 5.5 respectively so, the new volume (V2) will be:

V2 = π*(3.3)^2*5.5 = 59.9π cm^3

So the ratio of both volumes is:

59.9π/45π = 1.331

This means that each new solid would have 1.331 times the volume of the original solid. Therefore, we can stablish a relation between the original figures and the new ones calling "x" the number of new figures so:

20 = 1.331x

solving for x:

x = 20/1.331

x = 15.03

You can round this to 15.

8 0
3 years ago
The radius of a softball is 3.75 cm, and the radius of a table tennis ball is 2 cm. The volume of the softball is how many times
Natali5045456 [20]

Answer:

The volume of the softball is  6.6 times the volume of the tennis ball

Step-by-step explanation:

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

step 1

Find the volume of the softball

we have

r=3.75\ cm

substitute

V=\frac{4}{3}(3.14)(3.75)^{3}=220.8\ cm^{3}

step 2

Find the volume of the tennis ball

we have

r=2\ cm

substitute

V=\frac{4}{3}(3.14)(2)^{3}=33.5\ cm^{3}

step 3

Divide the volume of the softball by the volume of the tennis ball

220.8\ cm^{3}/33.5\ cm^{3}=6.6

therefore

The volume of the softball is  6.6 times the volume of the tennis ball

<em>Alternative Method</em>

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

The scale factor is equal to the ratio of its radius

\frac{3.75}{2}=1.875

therefore

The scale factor elevated to the cube is

1.875^{3}=6.6

therefore

The volume of the softball is  6.6 times the volume of the tennis ball

5 0
3 years ago
Another name for an Allen wrench is
s344n2d4d5 [400]
A hex key maybe? (: if you have any other question feel free to send me a link
5 0
3 years ago
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