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Katena32 [7]
3 years ago
6

Evaluate the expression when x = -4.5(x – 6) + 3x – 2​

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0

Answer:

-64

Step-by-step explanation:

5(x – 6) + 3x – 2

Distribute

5x - 30 +3x -2

Combine like terms

8x -32

Let x = -4

8*-4 -32

-32 -32

-64

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Y=29
Issheishwsihwsuwh i dont know why 8 have to write 20 charcters
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The length of a dance floor to be replaced is 1 foot shorter than twice than width. You measured the width to be 12.25 feet. Wha
telo118 [61]
12.25x2=24.50 (width x2)
24.50-1=23.50 (length)


Area= LxW
        =23.50x12.25
        =287.88 feet

7 0
3 years ago
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Avani wrote the linear equation y = 5 x + 4. Then, she wrote the equation of the line that is perpendicular to y = 5 x + 4 and t
Margarita [4]

Avani wrote the linear equation y = 5x + 4. Then, she wrote the equation of the line that is perpendicular to y = 5x+ 4 and that passes through (15,–2). If her new equation is in the form  y-\frac{1}{5}x+b, what is the value of b?

\bf y=mx+b

  • m is the slope
  • b is the y-intercept

The equation of a line that is perpendicular to another line always has the opposite reciprocal slope. In the original equation, the slope is 5. The opposite of 5, which refers to the sign, is -5. The reciprocal of -5 is -1/5. That means the slope of the new line is -1/5.

The perpendicular line:

  • Has a slope of -\frac{1}{5}
  • Passes through the point (15, -2)

To find the equation of a line that passes through a specific point, you need to use slope-intercept form.

\bf y-y_{1} =m(x-x_{1})

  • y₁ is the y-value of the point
  • m is the slope
  • x₁ is the x-value of the point

y₁ is -2, m is -1/5,  and x₁ is 15.

Substitute the known values into the equation:

y-(-2)=-\frac{1}{5}(x-15) \rightarrow y+2= -\frac{1}{5}(x-15)

Open the parentheses and distribute:

-\frac{1}{5}(x-15) \rightarrow -\frac{1}{5} \cdot x\ +  -\frac{1}{5} \cdot -15 \rightarrow -\frac{1}{5}x +3

The new equation will be:

y+2=-\frac{1}{5}x+3

Lastly, you need to move the positive 2 to the other side to keep it in y = mx + b form.

y+2-2=-\frac{1}{5}x+3-2 \rightarrow y=-\frac{1}{5}x+1

The equation of the perpendicular line is:

\bf y=-\frac{1}{5}x+1

The value of b is 1.

5 0
3 years ago
A) Show work, b) solve, and c) graph the solutions for −7+2x>−27
8_murik_8 [283]

Answer:

x > -10

Step-by-step explanation:

−7+2x>−27

Add 7 to each side

−7+7+2x>−27+7

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Divide each side by 2

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x > -10

7 0
3 years ago
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Find the measure of an angle if its supplement measures 20° less than 3 times its<br> complement.
Alex777 [14]
  • 53.3 ° approxiametly
  • In the given question:
  • an angle which is three times of its compliment and less than 20°
  • based on this statement , the equation formed
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  • sum of supplement)
  • 3x =180-20
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  • complement angle is a sum of two angles which is equal to 90° , if two angles add up to form a right angle, then these angles are referred to as complementary angles
  • supplement angle is sum of two angles which is equal to 180° ,  if two angles add up, to form a straight angle, then those angles are referred to as supplementary angles.  

To know more about supplement angles visit :

brainly.com/question/25889161

#SPJ9

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1 year ago
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