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Morgarella [4.7K]
3 years ago
15

From the sum of 4a + b + c and 9a - c subtract the sum of 18a - b - c and 14a - 2b - c

Mathematics
2 answers:
sergiy2304 [10]3 years ago
5 0

1:-

\\ \rm\Rrightarrow 4a+b+c+9a-c

\\ \rm\Rrightarrow 4a+9a+b+c-c

\\ \rm\Rrightarrow 13a+b

2:-

\\ \rm\Rrightarrow 18a-b-c-(14a-2b-c)

\\ \rm\Rrightarrow 18a-b-c-14a+2b+c

\\ \rm\Rrightarrow 18a-14a-b+2b-c+c

\\ \rm\Rrightarrow 4a+b

cricket20 [7]3 years ago
3 0

Answer:

-19c + 4b + 2c

Step-by-step explanation:

(4a + b + c + 9a - c) - (18a - b - c + 14a - 2b - c)

= (13a + b) - (32a - 3b - 2c)

= 13a + b - 32a + 3b + 2c

= -19c + 4b + 2c

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For this case we must simplify the following expression:

x ^ 2-3xy-5xy-7y ^ 2 + 4x ^ 2 + 8y ^ 2

We must add similar terms taking into account that:

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  • Different signs are subtracted and the major sign is placed.

(x ^ 2 + 4x ^ 2) + (- 3xy-5xy) + (- 7y ^ 2 + 8y ^ 2) =\\5x ^ 2-8xy + y ^ 2

Thus, the simplified expression is:

5x ^ 2-8xy + y ^ 2

Answer:

5x ^ 2-8xy + y ^ 2

4 0
4 years ago
Slope-intercept form of the equation of the line that is perpendicular to -2x + 3y = 10 and contains P(10,-10)
Vlad [161]
Slope intercept: y = mx + b
3y = 2x + 10
Y = 2/3x + 10/3
Perpendicular = opposite sign and reciprocal slope
Y = -3/2x + b
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-10 = -15 + b, b = 5
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8 0
3 years ago
A) What is the slope and the y-intercept of the equation?
Zielflug [23.3K]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-3}{4-0} = \frac{-3}{4} = - \frac{3}{4}

The y- intercept is where the line crosses the y- axis

The line crosses the y- axis at (0, 3 ) ⇒ b = 3

(b)

y = - \frac{3}{4} x + 3 ← equation of line

8 0
3 years ago
Write the percent as a fraction or mixed number in simplest form.<br><br> 0.8%
Oxana [17]

Answer:

4/5

Step-by-step explanation:

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10/2=5

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3 years ago
Read 2 more answers
Y=mx+b (-6,-3) and (0,9)
Leno4ka [110]

Answer:

y = 2x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

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m = \frac{9+3}{0+6} = \frac{12}{6} = 2

The line crosses the y- axis at (0, 9) ⇒ b = 9

y = 2x + 9 ← equation of line

3 0
3 years ago
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