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faust18 [17]
3 years ago
12

What’s the x intersect of the equation -25 - 12x = -(-8x - 6) -3(5x+12)

Mathematics
1 answer:
erik [133]3 years ago
8 0

-25 - 12x = -(-8x - 6) - 3(5x + 12)

Distributive property.

-25 - 12x = 8x + 6 - 15x - 36

Combine like terms.

-25 - 12x = -7x - 30

Add 12x to both sides.

-25 = 5x - 30

Add 30 to both sides.

5 = 5x

Divide both sides by 5.

x = 1

The x-intersect is 1.

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Evaluate 6 + 4/a +<br> b/3 <br> when a = 4 and b = 3.
GREYUIT [131]

The answer to your problem would be 8.

8 0
3 years ago
To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
kati45 [8]

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\frac{BC}{sinA}=\frac{AB}{SinC}

\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}

BC[sin(68.4)] = 646 [sin(18.6)]

BC = \frac{646*sin(18.6)}{sin(68.4)}

BC = \frac{646 * 0.3190}{0.9298}

BC = 221.63

BC = 222 meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

7 0
3 years ago
What is the slope of the line?
12345 [234]

You can find the slope using the following formula:

\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ where\colon \\ (x1,y1)=(0,2) \\ (x2,y2)=(1,0) \\ m=\frac{0-2}{1-0}=\frac{-2}{1}=-2 \end{gathered}

8 0
1 year ago
An archaeologist is categorizing the artifacts he has discovered. Two-thirds of the artifacts are shards of pottery. One-eighth
Reika [66]

Answer:

Personal items=15

Step-by-step explanation:

We are given:

Total number of artifacts = 72.

We are told that 2/3 of total artifacts are shards of pottery.

\text{Shards of pottery}=72*\frac{2}{3} =24*2=48

We are also told that 1/8 of total artifacts are tools.

\text{Tools}=72*\frac{1}{8}=9

Now we will find out number of personal items by subtracting combined number of shards of pottery and tools from total number of artifacts.

\text{ Personal items}=72-(48+9)

\text{ Personal items}=72-57=15

Therefore, there are 15 personal items.

8 0
4 years ago
Please help!<br> Quickly!
ss7ja [257]
The last one is the last correct answer that needs to be checked!!
8 0
3 years ago
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