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Otrada [13]
2 years ago
13

Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB,

Mathematics
1 answer:
KiRa [710]2 years ago
6 0

Answer:

x =  \frac{2(A_T) }{(AB)  +  (AC) + (BC)}

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Papessa [141]

Answer:

(х-4)(х-6)

Step-by-step explanation:

х¹= 4

х²=6

easy

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3 years ago
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A store sells honey in 3/8- quart jars. if the store has 24 quarts if honey available on a shelf, how many jars of honey are on
Kay [80]
24 / (3/8) = 
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2 years ago
Find m and n if the remainder when 8x^3+mx^2-6x+n if divided by (x-1) and (2x-3) are 2 and 8 respectively
soldier1979 [14.2K]

Answer:

we have:

8x³ + mx² - 6x + n

= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n

= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)

= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)

because the remainder if divided by (x-1) is 2

=> m + n + 2 = 2

⇔ m + n = 0 (1)

we also have:

8x³ + mx² - 6x + n

= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m +  18) + n +9/4m + 18              

= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18

= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18

 because the remainder if divided by  (2x - 3) is 8

=> 9/4m + n + 18 = 8

⇔ 9/4m + n = -10 (2)

from (1) and (2), we have:

m + n = 0

9/4m + n = -10

=> m = -8

      n = 8

Step-by-step explanation:

3 0
3 years ago
Help!!!! please answer!!! ​
maw [93]

Answer:

116

Step-by-step explanation:

3 to the power of 4 is 81. 7x5 =35+81=116

6 0
2 years ago
Find the diameter, area and circumference.<br> 11<br> 0
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Answer:

diameter = two times the radius

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