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2 years ago

Solve 4(x + 1) = 4x + 4

Mathematics

1 answer:

quester [9]2 years ago

6 0

0= 0

both sides are equal

Step-by-step explanation:

$4(x + 1) = 4x + 4$

Expand

$4(x + 1) = 4x + 4 \\ \\ 4x + 4 = 4x + 4 \\ 4x-4x=4-4 \\ 0=0$

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Triangle DEF has coordinates D(1,1). E(1,5), and F(5.1). Triangle D'EF is the image of ADEF by a dilation with center (0.0) and

Nastasia [14]

Answer:

$2282 \div 2 = < \leqslant 2 \times \frac{?}{?} {?}^{?} \sqrt{226 \tan( \cot(?) ) }$

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2 years ago

The eastbound train travels 10 miles per hour faster than the westbound train. After 2 hours, they are 232 miles apart. At what

patriot [66]

Answer:

48,58

Step-by-step explanation:

Let The speed of the west bound train be x

Let the east bound train be x+10

The speeds can be calculated as follows

2(2x+10)= 232

4x + 40= 232

4x= 232-40

4x= 192

x= 192/4

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The speed of the east bound train is 48+10

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2 years ago

See the picture below

mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}$

radius is given as 4, so,

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04$

Now, Volume of Cone = $\frac{1}{3}\pi r^2 h$

Where radius is 4 and height is 10, so,

Volume of Cone = $\frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55$

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = $2\pi r^2\\=2\pi (4)^2\\=100.53$

Surface Area of Cone = $\pi r^2+\pi rl$

We dont need to use the first part, $\pi r^2$ since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = $\pi rl\\=\pi (4)(10.77)\\=135.34$

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

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2 years ago

We played 15 games. We have two times as many losses as wins. How many wins do we have?

Hunter-Best [27]

I'd say the answer is 5 wins
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