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3 years ago

-3(1-2x)=3x+3(x-3)+6

Mathematics

1 answer:

deff fn [24]3 years ago

6 0

Let's solve this problem step-by-step.

−3(1−2x)=3x+3(x−3)+6

Step 1: Simplify both sides of the equation.

−3(1−2x)=3x+3(x−3)+6

(−3)(1)+(−3)(−2x)=3x+(3)(x)+(3)(−3)+6(Distribute)

−3+6x=3x+3x+−9+6

6x−3=(3x+3x)+(−9+6)(Combine Like Terms)

6x−3=6x+−3

6x−3=6x−3

Step 2: Subtract 6x from both sides.

6x−3−6x=6x−3−6x

−3=−3

Step 3: Add 3 to both sides.

−3+3=−3+3

0=0

So, 0=0 or all real numbers.

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Find the distance between P1(1, -91°) and P2(3, 335°) on the polar plane.

Dmitrij [34]

Answer:

2.749

Step-by-step explanation:

Use the polar distance formula:

$\sqrt{r_{1}^{2}+{r_{2}^{2}-2 r_{1} r_{2}cos(theta_{1} -theta_{2})$

$\sqrt{10^{2}+{3^{2}-2(1) (3)cos(225-(-91))$

2.749

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2 years ago

Suppose that 12 inches of wire cost 48 cents at the same rate how many inches of wire can be bought for 28 cents

goldenfox [79]

Answer:

7 in

Step-by-step explanation:

If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

$\frac{12\text{ in}}{\$0.48}$

Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:

$\frac{12\text{ in}}{\$0.48}=\frac{x}{\$0.28}$

Then, cross-multiply and solve for $x$ :

$\$0.48x=(\$0.28)(12)$

$\$0.48x=\$3.36$

$x=\frac{\$3.36}{\$0.48}$

$x=7$

3 0

11 months ago

A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14

Oliga [24]

Answer:

Let the distance between woman and pole be "x".

From diagram,

In ΔOAB,

tan 18 = $\frac{Perpendicular}{Base}$

tan 18 = $\frac{65 -y}{x}$

∴ x = $\frac{65 -y}{tan 18}$ ................ (1)

In ΔOBC

tan 14 = $\frac{Perpendicular}{Base}$

tan 14 = $\frac{y}{x}$

y = x × tan 14 ..............(2)

equating (2) in (1), we get;

x = $\frac{65}{tan 18 + tan 14}$

x = $\frac{65}{0.574}$

∵ tan 18 + tan 14 = 0.574

∴ x = 113.2 ft

i.e. The her distance from the pole is 113.2 ft.

3 0

3 years ago

Help would be much appreciated :)

makkiz [27]

Answer:

x = - 9

Step-by-step explanation:

In order to find the vertical asymptotes make the denominator equal to zero and solve:

2x + 18 = 0
2x = - 18
x = - 9

There is one vertical asymptote since the denominator is linear expression

6 0

2 years ago

A photo is 15 centimeters high and 9 centimeters wide. Mikael wants to proportionately shrink it so its height is 6 centimeters

gtnhenbr [62]

Answer:

6:3.6

Step-by-step explanation:

The hight of the photo=15

so,15=6

15 :- 2.5=6

9 divided by 2.6= 3.6

therefour, the answer will be 6:3.6

8 0

2 years ago