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astraxan [27]
3 years ago
6

Help me understand please ;-;

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
7 0
Standard form for first one is
ax+by=c

6y-12=-3x
add 3x both sides
3x+6y-12=0
add 12
3x+6y=12


second one
distribute (don't forget double negative y)
10-2x+2y=3x+1
minus 3x both sides
10-5x+2y=1
minus 10 both sides
-5x+2y=-9



the equations are
3x+6y=12
-5x+2y=-9

mart [117]3 years ago
3 0
The standad form of linear equation is of the form Ax + By = C, where A, B and C are integers.
Here, the standard form of the eduation 6y - 12 = -3x is 3x + 6y = 12
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Find the value of x in 4:x::x:16
AnnyKZ [126]

Given:

4:x::x:16

To find:

The value of x.

Solution:

We have,

4:x::x:16

It means, we have

4:x = x:16

It can be rewritten as

\dfrac{4}{x}=\dfrac{x}{16}

On cross multiplication, we get

4\times 16=x\times x

64=x^2

Taking square root on both sides.

\pm \sqrt{64}=x

\pm 8=x

Since ratio can be negative or positive, therefore, the value of x is either -8 or 8.

4 0
3 years ago
Which is the equation of the line?
IRINA_888 [86]
Answer: (C)2x + 8Y = 16 

\underline{X || 2x + 8Y = 16 || Y}
\underline{0\:||\:2*0 + 8Y = 16\to\:8Y = 16\to\:Y =  \frac{16}{8}\:||\:Y = 2} (0,2)
\underline{8\:||\:2*8 + 8Y = 16\to\:8Y = 16-16\to\:Y = \frac{0}{8}\:||\:Y = 0} (8,0)

<span>Check the chart for a better understanding:
</span>



3 0
3 years ago
What is the answer?
zavuch27 [327]

Answer:

B.

Step-by-step explanation:

..........................................................

4 0
3 years ago
F $1 \le a \le 10$ and $1 \le b \le 36$, for how many ordered pairs of integers $(a, b)$ is $\sqrt{a + \sqrt{b}}$ an integer?
svetlana [45]
You have such entry data: 
1\ \textless \ a\ \textless \ 10 \\ 1\ \textless \ b\ \textless \ 36

Consider expression \sqrt{a+ \sqrt{b} }. If this expression becomes an integer, then b=4,9,16,25, because then \sqrt{b} = 2,3,4,5, respectively. In other cases \sqrt{b} is not integer and thus the expression \sqrt{a+ \sqrt{b} } also is not integer.

1. b=4, then \sqrt{a+ \sqrt{b} }=\sqrt{a+2}. Here a=2,7 (in other cases \sqrt{a+2} is not integer). When a=2, \sqrt{a+2}=\sqrt{2+2}=2 and when a=7, \sqrt{a+2}=\sqrt{7+2}=3.

2. b=9, then a=6 and \sqrt{a+ \sqrt{b} }= \sqrt{a+3}=\sqrt{6+3}=3.

3. b=16, then a=5 and \sqrt{a+ \sqrt{b} }= \sqrt{a+4}=\sqrt{5+4}=3.

4. b=25, then a=4 and \sqrt{a+ \sqrt{b} }=\sqrt{a+5}=\sqrt{4+5}=3.

Answer: (2,4), (7,4), (6,9), (5,16), (4,25).







3 0
3 years ago
He ran 6 miles in 57 minutes, how long does it take to run one mile?
Murljashka [212]
9 minutes and 3o seconds, because 57 divided by 6 is 9.5.
3 0
3 years ago
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