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ELEN [110]
3 years ago
8

The base of a triangle exceeds the height by 6 cm if the area is 260 cm² find the length of the base and the height of the trian

gle?
Mathematics
1 answer:
N76 [4]3 years ago
7 0
Let \: the \: base \: be \: x, \: the \: height \: would \: be: \:x-6\\The \: area \: is: \:

\frac{x(x - 6)}{2} = 260 \\ {x}^{2} - 6x = 520 \\ {x}^{2} - 6x - 520 = 0 \\ (x + 20)(x - 26) = 0 \\x = 26
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Find the probability of rolling a 6 on a number cube and flipping heads on a coin
serious [3.7K]

Assuming that the number cube is 6 sided

6 is one number in a 6 sided cube, so the probability is: 1/6

heads is one side of the coin, with two in all: 1/2

Multiply the two fractions together

1/6 x 1/2 = 1/12

1/12 is your probability

hope this helps

4 0
3 years ago
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Help me solve this? ​
LiRa [457]

Answer:

Step-by-step explanation:

5(-5)-2=-27

5(-2)-2= -12

5(1)-2=3

5(2)-2=8

5(3)-2=13

x     g(x)

-5   -27

-2    -12

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5 0
2 years ago
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Factorise 4x^2-y^2 please help
kotegsom [21]

Answer:

(2x + y)(2x - y)

Step-by-step explanation:

1. Simplify the square 4x²:

(2x)² - y²

2. Apple the difference of two squares formula <em>x² - y² = (x + y)(x - y)</em>:

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8 0
2 years ago
Find the reciprocal of. ​
alexandr402 [8]

Answer:

a) 3/1 that is 3

b) 8/7

c) the mixed fraction is converted into simple fraction: 3*2+2/3 = 8/3

therefore the reciprocal is 3/8

d) 1/5

e) the mixed fraction is converted into simple fraction: 6*6+1/6 = 37/6

therefore the reciprocal is 6/37.

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4 0
3 years ago
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1^2 + 4^2 + 7^2 + ... + (3n - 2)^2 = n(6n^2-3n-1)/2
vlabodo [156]
Use math induction proof method will be usefully 

for n=1 will get 

1^2 = 1(6*1^2 -3*1 -1)/2
1 = 1(6-4)/2
1 = 1(2)/2
1 = 1

suppose true for n=k and prove for k = k+1 

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7 0
3 years ago
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