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jonny [76]
4 years ago
13

Which number is greater then -24

Mathematics
1 answer:
Korolek [52]4 years ago
8 0

Answer:

C. -16

Step-by-step explanation:

Since the numbers are negative, all numbers that are bigger than 24, are actually less, and the numbers that are smaller than 24, are actually greater

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What time is 5 3/4 hours after 9:22pm
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The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is . What is the standard form of the
kvasek [131]

Answer:

Point-Slope form:  y+1=-\frac{6}{15}(x+5)\\

standard form:  2x+5y=-15


Step-by-step explanation:

The standard form is given by: Ax+By=C

The point-slope form is given by: y-y_1=m(x-x_1)


  • <em>Let's call (-5,-1) as point (x_1,y_1), and</em>

<em>point (10,-7) as point (x_2,y_2)</em>

  • <em>We also know that the slope m is given by m=\frac{y_2-y_1}{x_2-x_1}</em>

Let's find the slope:

m=\frac{-7-(-1)}{10-(-5)}=-\frac{6}{15}


1. So, point slope form can be written as:

y-(-1)=-\frac{6}{15}(x-(-5))\\y+1=-\frac{6}{15}(x+5)\\


2. Rearranging this equation and bringing all x's and y's to one side and the number to another side will give us the standard form. So:

y+1=-\frac{6}{15}x-2\\y+\frac{6}{15}x=-2-1\\y+\frac{6}{15}x=-3

<em>But A, B, and C (standard form) needs to be integers, so to get rid of the denominator , we multiply the whole equation by 15. So we have:</em>

y+\frac{6}{15}x=-3\\15y+6x=-45

<em>We can factor out a 3, so it becomes:</em>

15y+6x=-45\\5y+2x=-15

So standard form is 2x+5y=-15

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4 years ago
A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is
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Answer:

24 pi

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if the radius is 12, the diameter is 24

so it would be 24 pi

pls mark as brainliest!!!<3

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3 years ago
Solve each equation by completing the square. round to the nearest hundredth if necessary.
erastova [34]
To comlete each square, you just have to take the middle term and divide it by 2, then take its square. Add this to both sides of the equation then simplify. The middle term is the 1st degree x variable. 

<span>3. x^2+6x =16
  -------------------------
   (6/2)^2 = 9
   x</span>² + 6x + 9 = 16 + 9
   (x + 3)² = 25

<span>4. x^2-10x =11
   ------------------------
   (-10/2)</span>² = 25
    x² - 10x + 25 = 11 + 25
   (x -5)² = 36

<span>5. x^2-9x =0
    --------------
   (-9/2)</span>² = 81/4
   x² - 9x + 81/4 = 81/4
   (x - 9/2)² = 81/4

<span>6. x^2+16x =15
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    x² + 16x +64 = 15 + 64
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<span>7. 3x^2+18x-81=0
    ----------------
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   x² + 6x + 9 = 27 + 9
   (x + 3)² = 36

A polynomial with a general equation of ax² + bx + c = 0 has a root determined using this formula:

x= \frac{-b \ +/- \  \sqrt{ b^{2}-4ac } }{2a}

Just substitute the coefficients to the formula to find the roots

8. 1.09, -1.84
9. 3, 1/2
10. No real roots
11. 1.12, -3.12

4 0
3 years ago
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