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Mariana [72]
3 years ago
9

X + 7у = 23 3х + 14у = 48​

Mathematics
1 answer:
Lelechka [254]3 years ago
8 0

Answer:

x + 7у = 23 3х + 14у = 48​

Step-by-step explanation:

x + 7у = 23 3х + 14у = 48​

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A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 1:4.
schepotkina [342]

Let point C has coordinates (x_C,y_C). Consider vectors

\overrightarrow{AB}=(x_B-x_A,y_B-y_A)=(8-9,6-9)=(-1,-3),\\ \\\overrightarrow{BC}=(x_C-x_B,y_C-y_B)=(x_C-8,y_C-6).

Since the ratio AB to BC is 1:4, you have that

\dfrac{-1}{x_C-8}=\dfrac{1}{4}\quad \text{and}\quad \dfrac{-3}{y_C-6}=\dfrac{1}{4}.

Find x_C and y_C:

x_C-8=-4,\\ \\x_C=-4+8=4,\\ \\y_C-6=-3\cdot 4=-12,\\ \\y_C=-12+6=-6.

Answer: C(4,-6)

7 0
3 years ago
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What is 12.345 rounded to the nearest tenth
noname [10]
Rounding to the nearest tenth means rounding to the decimal place directly to the right of the decimal. 

The rules of rounding are fairly simple. If the number to the right of the number you are rounding is greater than or equal to 5, you round up. If the number to the right is less than 5, you round down.

Let's take a look at the number 12.345.
First, round to the hundredths place. The number right before the 4 is 5, so we round up. This gives us the number 12.35.
Next, we have to round to the tenths place. The number to the right of the 3 is 5, so we round up as well. This gives us the number 12.4.

Answer: 12.4
7 0
3 years ago
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If 3(x - 4) = x + 4, then x =8
Greeley [361]

Answer:

Valid

Step-by-step explanation:

3(x-4)=x+4              <em>Given</em>

3x-12=x+4                <em>Distribute</em>

2x=16<em>                      Subtract x from both sides and add 12 to both sides</em>

x=8                           <em>Divide each side by 2.</em>

<em>  </em>

<em />

6 0
3 years ago
I need help im kinda stuck lol
anastassius [24]

Answer:

1 person did as you can see

5 0
2 years ago
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Find 415 of 619 in simplest form,
Finger [1]

Answer:

415/619

Step-by-step explanation:

619 is a prime number, so the fraction is in simplest form already.

8 0
3 years ago
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