<img src="https://tex.z-dn.net/?f=4%28a%20%2B%202%20%29%20-%202%20%28a%20-%203%29" id="TexFormula1" title="4(a + 2 ) - 2 (a - 3)

Ask question

Ask question

All categories

2 years ago

10

" alt="4(a + 2 ) - 2 (a - 3)" align="absmiddle" class="latex-formula">

1 answer:

satela [25.4K]2 years ago

5 0

Answer:

$\large\boxed{2a+14}$

Step-by-step explanation:

$4(a + 2 ) - 2 (a - 3)\qquad\text{use distributive property:}\ a(b+c)=ab+ac\\\\=4a+8-2a-(-6)\qquad\text{combine like terms}\\\\=(4a-2a)+(8+6)\\\\=2a+14$

You might be interested in

A wheel has a radious of 50cm. How many times would the wheel go around if it rolled for 10km

Zinaida [17]

First you must make sure all measurements are in the same value: You can choose either cm or km

Distance = 1,000,000 cm or 10 km

Radius = 50 cm or 0.0005 km

Distance/(2πR)

1,000,000/(2π*50)

1,000,000/314.059…….

Approx = 3183.1 Rotations

6 0

2 years ago

What is the slope of the graph shown below?

levacccp [35]

Answer:

2435

Step-by-step explanation:

6 0

2 years ago

The radius of the base of the cylinder is 2x cm and the height of the cylinder is h cm.

valentina_108 [34]

Answer:

h = 9x

Step-by-step explanation:

Given: i. for the cylinder, base radius = 2x cm, height = h cm

ii. for the sphere, radius = 3x cm

iii. volume of the cylinder = volume of the sphere

volume of a cylinder is given as;

volume = $\frac{1}{3}$ $\pi$ $r^{2}$ h

where: r is its base radius and h the height

volume of the given cylinder = $\frac{1}{3}$ $\pi$ x $(2x)^{2}$ x h

= $\frac{1}{3}$ $\pi$ x 4 $x^{2}$ x h

= $\frac{4}{3}$ $\pi$ $x^{2}$ h

volume of a sphere = $\frac{4}{3}$ $\pi$ $r^{3}$

where r is the radius.

volume of the given sphere = $\frac{4}{3}$ $\pi$ x $(3x)^{3}$

= $\frac{4}{3}$ $\pi$ x 9 $x^{3}$

= 12 $\pi$ $x^{3}$

Since,

volume of the cylinder = volume of the sphere

Then we have;

$\frac{4}{3}$ $\pi$ $x^{2}$ h = 12 $\pi$ $x^{3}$

4 $\pi$ $x^{2}$ h = 36 $\pi$ $x^{3}$

subtract $x^{2}$ from both sides

4 $\pi$ h = 36 $\pi$ x

divide both sides by 4 $\pi$

h = $\frac{36\pi x}{4\pi }$

= 9x

h = 9x

5 0

2 years ago

Help meeeeeeeeee I need the answer

Tanzania [10]

Answer:

d is the answer

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A recipe calls for 212 cups of flour to make 2 dozen cookies. How many cups of flour would be required to bake 15 dozen cookies.

NikAS [45]

Answer:

18 3/4 cups are required to bake 15 dozen of cookies.

Step-by-step explanation:

x = 75/4

x = 18 3/4 cups

18 3/4 cups are required to bake 15 dozen of cookies.

4 0

3 years ago