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Simora [160]
3 years ago
12

What is the opposite of the opposition of 8 1/4

Mathematics
1 answer:
Vesnalui [34]3 years ago
6 0
The opposite of x is -x so opposite of 8 1/4 is -8 1/4 and a -8 1/4 is 8 1/4 so the answer is as same as the number in the question, 8 1/4 :)))
I hope this is helpful
have a nice day
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Find the y intercepts of 3x^2+24x-51. quadratic formula
julia-pushkina [17]
  • Quadratic Formula: x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} , with a = x^2 coefficient, b = x coefficient, and c = constant.

Firstly, starting with the y-intercept. To find the y-intercept, set the x variable to zero and solve as such:

y=3*0^2+24*0-51\\y=0+0-51\\y=-51

<u>Your y-intercept is (0,-51).</u>

Next, using our equation plug the appropriate values into the quadratic formula:

x=\frac{-24\pm \sqrt{24^2-4*3*(-54)}}{2*3}

Next, solve the multiplications and exponent:

x=\frac{-24\pm \sqrt{576-(-648)}}{6}\\\\x=\frac{-24\pm \sqrt{576+648}}{6}

Next, solve the addition:

x=\frac{-24\pm \sqrt{1224}}{6}

Now, simplify the radical using the product rule of radicals as such:

  • Product Rule of Radicals: √ab = √a × √b

√1224 = √12 × √102 = √2 × √6 × √6 × √17 = 6 × √2 × √17 = 6√34

x=\frac{-24\pm 6\sqrt{34}}{6}

Next, divide:

x=-4\pm \sqrt{34}

<u>The exact values of your x-intercepts are (-4 + √34, 0) and (-4 - √34, 0).</u>

Now to find the approximate values, solve this twice: once with the + symbol and once with the - symbol:

x=-4+ \sqrt{34},-4- \sqrt{34}\\x\approx 1.83, -9.83

<u>The approximate values of your x-intercepts (rounded to the hundredths) are (1.83,0) and (-9.83,0).</u>

5 0
4 years ago
A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude
SSSSS [86.1K]
Y=90x+2,000

90 is the rate of change because the hot air balloon descends 90 feet per minute.
And 2,000 is the starting point because the hot air balloon started the descent at 2,000 feet.
3 0
3 years ago
Perimeter of a rectangle is 15x+17y if the length is 7/2x+7y then find the width of the rectangle
bogdanovich [222]

The perimeter of a rectangle is given by the formula,


P=2l+2w


We substitute,


P=15x+17y


and


l=\frac{7}{2}x+7y


into the above formula to obtain the expression,




15x+17y=2(\frac{7}{2}x+7y)+2w



15x+17y=7x+14y+2w




We now group the x and y terms on the Left Hand Side of the equation to get.


15x-7x+17y-14y=2w




8x+7y=2w



We now divide through by 2 to get,



4x+\frac{7}{2}y=w



Therefore the width of the rectangle is


4x+\frac{7}{2}y



8 0
3 years ago
Help me I don’t understand this
Georgia [21]
40° + 7 = 47
180° - 47 = 133°

Hope this Helps!!
4 0
3 years ago
Read 2 more answers
Find the area of the figure<br> A) 450MM<br> B) 67,500 MM<br> C) 600MM<br> D)150MM
Sphinxa [80]
Thats it option (C). Hope it helps!!

5 0
3 years ago
Read 2 more answers
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