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cestrela7 [59]
3 years ago
8

Consider this system of equations and the partial solution below

Mathematics
2 answers:
JulsSmile [24]3 years ago
7 0

Answer:

A

Step-by-step explanation:

-6 and 6

ANTONII [103]3 years ago
4 0

Answer:

A. -6 y and 6 y   terms will cancel when we add the resulting system of equations.

Step-by-step explanation:

Here, the system of equations is given as:

6 x + 2 y = 6    ............ (1)

7 x + 3 y = 9   ............  (2)

Now, multiplying (1) by (-3) , we get

(-3)6 x + (-3) 2 y =  (-3) 6  

⇒  -18 x  - 6 y  = -18

And, multiplying (2) by (2) , we get

(2)7 x + (2) 3 y =  (2) 9

⇒  14 x  + 6 y  = 18

Now, adding  both the  resulting equations, we get

( -18 x  - 6 y)  + (14 x  + 6 y )  =  -18  + 18

or,  ( -18 x  +  14 x )   + (   6 y - 6 y )  =  -18  + 18

or, -4  x  = 0

Hence, the terms + 6 y is cancelled with - 6 y  in Left side

and term 18  is cancelled with - 18  on Right Side.

Hence, the option A. is the correct option.

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Select the choice that translates the following verbal phrase correctly to algebra: y less than 21
8_murik_8 [283]
Y less than 21 = 21 - y

Remember, "less than" indicates a subtraction with the terms in inverted order.

Hope I helped!
4 0
2 years ago
Read 2 more answers
C bisects AB. If AC = 8x - 1 and BC = 4x + 19, what is the length of AB?
tensa zangetsu [6.8K]

The length of AB is 78 units.

<h3>What is a Line Segment?</h3>

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure is given below shows a line segment AB , where the length of line segment AB refers to the distance between its endpoints, A and B.

Given that C is the midpoint of AB

AC = 8x - 1 and BC = 4x + 19,

A______________C______________B

⇒ AB = AC+ BC

Since C is the bisects of AB, So AC = BC

⇒ AB = AC+ BC

⇒ AB = 2AC

Substitute the values of If AC = 8x - 1 and BC = 4x + 19,

⇒ 8x - 1 = 4x + 19,

Rearranging the terms in the above equation,

⇒ 8x - 4x  = 1 + 19,

⇒ 4x = 20,

⇒ x = 20/4,

⇒ x = 5

So AB = 2AC

⇒ AB = 2(8x - 1) = 16x -2

Substitute the value of x = 5 in the above equation,

⇒ AB = 16(5) -2

⇒ AB = 78

Hence, the length of AB is 78 units.

Learn more about the line segment here:

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8 0
1 year ago
I need help on this please
AnnZ [28]

Answer:

Balblair! op opopopopoop

5 0
3 years ago
Please Help Me <br> Thank u so much
BartSMP [9]
The location of the vertex tells you the horizontal and vertical shift. (The parent function f(x) = x² has its vertex at the origin, (0, 0). The vertical distance of the point 1 unit left or right of the vertex in relation to the vertex tells you the vertical scale factor (stretch).

g(x) = f(x +3) -3
  horizontal shift left 3
  vertical shift down 3

h(x) = -3f(x)
  reflection across the x-axis
  vertical stretch of 3

d(x) = f(x -3) -3
  horizontal shift right 3
  vertical shift down 3
6 0
3 years ago
If the discriminant, b^2-4ac is ___, a quadratic will have two real roots, two points of intersection with the x-axis.
den301095 [7]

If the discriminant, b² - 4ac is<u> positive</u>

<h3>How to complete the statement?</h3>

From the question, we have the following equation of discriminant

The discriminant (d) is calculated as

d = b² - 4ac

The solutions of a quadratic equation are dependent on the following conditions

  • If d = 0, the quadratic equation has 1 real solution
  • If d < 0, the quadratic equation has imaginary solutions
  • If d > 0, the quadratic equation has 2 different real solutions

This means that "d > 0, the quadratic equation has 2 different real solutions" implies that the discriminant is positive

Hence, the complete statement is (b) positive

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6 0
11 months ago
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