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Zepler [3.9K]
3 years ago
9

find three consecutive even integers such that the sum of the least integer and the middle integer is 22 more than the greatest

integer
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
7 0
Your integers are x, x+2, and x+4
x+x+2=22+x+4
2x+2=x+26
x=24
the integers are 24,26,28
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R/18 = 1/9 r=?<br> helpppp
yaroslaw [1]

Answer:

r = 2

Step-by-step explanation:

r/18 = 1/9

r = 1 * 18 /9

r = 18/9

r = 2

6 0
2 years ago
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One leg of a right triangle is 7 inches longer than the other leg, and the hypotenuse is 35 inches. Find the lengths of the legs
lilavasa [31]

Answer: 21, 28

Step-by-step explanation:

  • Side #1 = x
  • Side #2 = x + 7
  • Hypotenuse = 35

Use the Pythagorean Theorem a^{2}+b^{2}=c^{2}:

  • a = x
  • b = x + 7
  • c = 35

Substitute in the values & solve:

x^{2}+(x+7)^{2}=35^{2}\\x^{2}+x^{2}+14x+49=1225\\2x^{2}+14x+49-1225=0\\2x^{2}+14x-1176=0\\2(x^{2}+7x-588)=0\\2(x + 28)(x - 21)=0\\x_{1}=-28, x_{2}=21

<em><u>-28 is not a possible solution since you can't have negative inches...</u></em>

  • a = x = 21
  • b = x + 7 = 21 + 7 = 28
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6 0
3 years ago
Expand and Simplify 4(g + 5) + 3(g – 2)
Montano1993 [528]
The solution is 7g+14
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The temperature at noon was -5 C. Then, it decreased by 4.3 'C. What is the temperature<br> now?
devlian [24]

Answer:

-9.3 degrees

Step-by-step explanation:

-5 minus 4.3 is -9.3

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3 years ago
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aliya0001 [1]

Answer:

x + 3y = 21

Step-by-step explanation:

(x_{1},y_{1})=(12,3) \\\\(x_{2},y_{2})=(-3,8)\\\\Slope= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \dfrac{8-3}{-3-12}= \dfrac{5}{-15}\\\\= \dfrac{-1}{3}

Equation of the line: y =mx+ b

y =  \dfrac{-1}{3}x+b\\\\\\Plugin \ x = 12 \ and \ y=3 \ in \ the \ above \ equation\\\\3= \dfrac{-1}{3}*12+b\\\\3= -4+b\\\\3+4 = b\\\\b = 7\\\\\\\y=  \dfrac{-1}{3}x+7\\\\

Multiply the equation by 3

3y = -x + 21

x + 3y = 21

6 0
3 years ago
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