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Xelga [282]
3 years ago
5

6) A garden is 90m long and 50m wide. A path of 5m width is built outside and around it.

Mathematics
1 answer:
kompoz [17]3 years ago
5 0
It’s 837 this is the path
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Write the slope intercept form Through:(-1,0) and (-5,-5)
jarptica [38.1K]

Answer:

y=\frac{5}{4} x + \frac{5}{4}

7 0
3 years ago
The function f is defined by f(x)=2.1x−1.7. Use this formula to find the following values of f.
viktelen [127]

f(c + a) = 2.1 c + 2.1 a - 1.7

f(1/3 x - 2/3) = 0.7 x - 3.1

f(x + 2) = 2.1 x + 2.5

f(3c) = 6.3 c - 1.7

Step-by-step explanation:

The function is f(x) = 2.1 x - 1.7

We need to use this formula to find

  • f(c + a)
  • f(1/3x - 2/3)
  • f(x + 2)
  • f(3c)

To solve the problem substitute x by each value in the bracket

∵ f(x) = 2.1 x - 1.7

f(c + a) means substitute x by c + a

∵ x = c + a

∴ f(c + a) = 2.1(c + a) - 1.7

- Multiply the bracket by 2.1

∴ f(c + a) = 2.1 c + 2.1 a - 1.7

∵ f(x) = 2.1 x - 1.7

- f(1/3 x - 2/3) means substitute x by 1/3 x - 2/3

∵ x = 1/3 x - 2/3

∴ f(1/3 x - 2/3) = 2.1(1/3 x - 2/3) - 1.7

- Multiply the bracket by 2.1

∴ f(1/3 x - 2/3) = 0.7 x - 1.4 - 1.7

- Add the like terms

∴ f(1/3 x - 2/3) = 0.7 x - 3.1

∵ f(x) = 2.1 x - 1.7

- f(x + 2) means substitute x by x + 2

∵ x = x + 2

∴ f(x + 2) = 2.1(x + 2) - 1.7

- Multiply the bracket by 2.1

∴ f(x + 2) = 2.1 x + 4.2 - 1.7

- Add the like terms

∴ f(x + 2) = 2.1 x + 2.5

∵ f(x) = 2.1 x - 1.7

- f(3c) means substitute x by 3c

∵ x = 3c

∴ f(3c) = 2.1(3c) - 1.7

- Multiply 2.1 by 3c

∴ f(3c) = 6.3 c - 1.7

Learn more:

You can learn more about the functions in brainly.com/question/628130

#LearnwithBrainly

3 0
3 years ago
The cheetah is 7/6 the Perigen falcon is 10/3
Brilliant_brown [7]
The answer is 2  \frac{1}{6}.

Explanation:

In order to subtract the fractions, we must make them like fractions. To do this, the denominators must be the same by multiplying (only). Since the first fraction is \frac{10}{3}, 3 can be multiplied by 2 to get 6, which is the other fraction, we can multiply it. Whatever you do to the denominator you must do to the numerator. Now multiply 2 by the numerator (10) to get \frac{20}{6}. Now we can subtract the fractions \frac{20}{6} and \frac{7}{6} to get 13/6. Since this fraction is not in mixed fraction form yet, we must do that first.  goes into 13 twice, so the whole number is 2 and there is still 1 left, making the fraction \frac{1}{6}. Therefore, the difference is 2 \frac{1}{6}.
8 0
3 years ago
The winner of a 200 mile race drove his car to victory at 111.5417 mph. What was his time?
Fed [463]

200 \div 111.5417
6 0
3 years ago
For each explicitly-defined sequence below, write the first few terms. Then use the terms to write a recursive equation.
julia-pushkina [17]

Answer:

Step-by-step explanation:

Problem A

t(1) = 2(1) + 5

t(2) = 2*2 + 5 = 9

t(3) = 2*3 + 5 = 11

t(4) = 2*4 + 5 = 13

So this is the explicit result. Now try it recursively.

t_3 = t_2 + 2

t_3 = 9 + 2

t_3 = 11          which is just what it should do.

t_n = t_(n - 1) + 2

Problem B

t(1) = 3 * 1/2

t(1) = 3/2

t(2) = 3*(1/2)^2

t(2) = 3 * 1/4

t(2) = 3/4

t(3) = 3*(1/2)^3

t(3) = 3 * 1/8

t(3) = 3/8

t(4) = 3 (1/2)^4

t(4) = 3 (1/16)

t(4) = 3/16

So in general

t_n = t_n-1 * 1/2

For example t(5)

t_5 = t_4 * 1/2

t_5 = 3 /16 * 1/2 = 3/32

6 0
3 years ago
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