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3 years ago

Which expression is equivalent to 3(m - 3) + 4?

Mathematics

2 answers:

prisoha [69]3 years ago

8 0

Answer:

3m -5

Step-by-step explanation:

3(m - 3) + 4

Distribute

3m -9 +4

Combine like terms

3m -5

alexgriva [62]3 years ago

8 0

Answer:

3m - 5

Step-by-step explanation:

3(m - 3) + 4

3m - 9 + 4

3m - 5

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The table below shows a correct representation that 15 pounds (lb) of sugar cost $3:

Nana76 [90]

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3 years ago

Find an equation of a plane containing the line r=⟨0,4,4⟩+t⟨−3,−2,1⟩ which is parallel to the plane 1x−1y+1z=−5 in which the coe

ozzi

The plane you want is parallel to another plane, x - y + z = -5, so they share a normal vector. In this case, it's ⟨1, -1, 1⟩.

The plane must also pass through the point (0, 4, 4) since it contains r(t). Then the equation of the plane is

⟨x, y - 4, z - 4⟩ • ⟨1, -1, 1⟩ = 0

x - (y - 4) + (z - 4) = 0

x - y + z = 0

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3 years ago

Right triangle XYZ has right angle Z. If the sin(X)=1213 , what is the cos(X)

AlekseyPX

Given:

Right triangle XYZ has right angle Z.

$\sin(x)=\dfrac{12}{13}$

To find:

The value of $\cos x$ .

Solution:

We know that,

$\sin^2(x)+\cos^2(x)=1$

$\cos^2(x)=1-\sin^2(x)$

$\cos(x)=\pm\sqrt{1-\sin^2x}$

For a triangle, all trigonometric ratios are positive. So,

$\cos(x)=\sqrt{1-\sin^2x}$

It is given that $\sin(x)=\dfrac{12}{13}$ . After substituting this value in the above equation, we get

$\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}$

$\cos(x)=\sqrt{1-\dfrac{144}{169}}$

$\cos(x)=\sqrt{\dfrac{169-144}{169}}$

$\cos(x)=\sqrt{\dfrac{25}{169}}$

On further simplification, we get

$\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}$

$\cos(x)=\dfrac{5}{13}$

Therefore, the required value is $\cos(x)=\dfrac{5}{13}$ .

6 0

3 years ago

Find the volume of the sphere whose radius is 0.8 cm

vekshin1

Answer:

2.14 cm^3

Step-by-step explanation:

V = 4/3 pi r^3

V = 4/3 pi 0.512

V = 2.14

8 0

4 years ago

Read 2 more answers

Which of the following is equivalent to V-75?

Sindrei [870]

Answer:

Step-by-step explanation:

$\sqrt{-75}=i\sqrt{5*5*3}\\\\=5i\sqrt{3}$

3 0

3 years ago