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creativ13 [48]
3 years ago
7

A. 12 + 4x = 6x + 10 – 2x

Mathematics
1 answer:
GalinKa [24]3 years ago
3 0

An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:

A) 12+4x=6x+10-2x \iff 12+4x=10+4x \iff 12=10

which is impossible

B) 5x+14-4x=23+x-9 \iff x+14 = x+14

which is an equality

C) x+9-0.8x=5.2x+17-8\iff 0.2x+9=5.2x+9 \iff 0.2x=5.2x\iff x=0

which has a unique solution

D) 4x-2x=20 \iff 2x=20 \iff x=10

which has a unique solution

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Equation of the line (-6,5) and (8,14) in standard form
blsea [12.9K]

Answer:

\huge\boxed{9x-14y=-70}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (-6, 5) and (8, 14).

Substitute:

m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)

Thew standard form of an equation of a line:

Ax+By=C

transform:

y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70

4 0
3 years ago
Hey easy question 1 x 1 ? 24 points + brainlest
alexandr1967 [171]
It’s 1




...................
3 0
3 years ago
Read 2 more answers
I need help ASAP can someone please help me right away​​
zysi [14]

Answer:

Smallest number would be 1^o

Step-by-step explanation:

Now with this one I can see the question now and the smallest* number of degrees to tilt it would be 1 degrees.

Have a good day. :)

Hope this helps!

<u>(brainliest would be appreciated)</u>

8 0
3 years ago
Question is in the picture.
STALIN [3.7K]

Answer:

3

Step-by-step explanation:

5 0
3 years ago
1. Which of the following is the standard form of y = (x – 3)(x – 7)?
Andrej [43]

9514 1404 393

Answer:

  b.  y = (x - 5)² - 4

Step-by-step explanation:

Here, we take "standard form" to mean "vertex form."

In the US, "standard form" would be ...

  y = x² -10x +21

Vertex form is ...

  y = (x -5)² -4 . . . . matches B

4 0
3 years ago
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