Answer:
I will answer in English, you can translate it after, as this is math, will be easier to read.
This can be translated to:
Present the fraction:
a) - 7/9 as a fraction with 27 denominator
b) 7/17 as a fraction with 102 denominator
c) 13/16 as a fraction with 80 denominator
d) 11/13 as a fraction with 78 denominator
a) We can multiply both numerator and denominator by the same number, and the quotient remains the same:
We know that 9*3 = 27
then: (-7/9)*(3/3) = -21/27
b) Here we can use that 102 = 17*6
Then we multiply the numerator and denominator by 6:
(7/17)*(6/6) = 42/102.
c) We can use that 16*5 = 80.
Then we should multiply both denominator and numerator by 5.
(13/16)*(5/5) = 65/80
d) We can use that 6*13 = 78, then we can multiply both denominator and numerator by 6.
(11/13)*(6/6) = 66/78
Answer:
120 units²
Step-by-step explanation:
The area can be found using the formula for the area of a triangle:
A = 1/2bh
Since the sides of length 10 and 24 are at right angles, either can be considered to be the base and the other the height. Then the area is ...
A = 1/2·(10 units)·(24 units) = 120 units²
1. We have to find the fifth term of f(n) = 7 - 4(n - 1).
That means x = 5. Substitute 5 into the equation for x.
f(n) = 7 - 4(5 - 1)
Subtract 5 - 1.
f(n) = 7 - 4(4)
Multiply 4 by 4.
f(n) = 7 - 16
Subtract 16 from 7.
f(n) = -9
The answer is D.
2. Since we have to find the first 4 terms, we have to solve for x = 1, 2, 3, & 4.
Multiply 1, 2, 3, and 4 by 6. We now have:
f(x) = 6 - 25 f(x) = 12 - 25 f(x) = 18 - 25 f(x) = 24 - 25
Subtract 25 from the first term: 6, 12, 18, and 24.
f(x) = -19 f(x) = -13 f(x) = -7 f(x) = -1
The answer is C.
3. Now, we have to find the first 3 terms of f(x) = 10(2)^x. So x is 1, 2, & 3.
Raise 2 to the powers of 1, 2, and 3. The equations are now:
f(x) = 10(2) f(x) = 10(4) f(x) = 10(8)
Then multiply 10 by the three terms: 2, 4, and 8.
f(x) = 20 f(x) = 40 f(x) = 80
The answer is A.
4. Find the 21st term of f(n) = 2 + 9(n - 1). Substitute 21 for n.
f(n) = 2 + 9(21 - 1)
Subtract 1 from 21.
f(n) = 2 + 9(20)
Multiply 9 by 20.
f(n) = 2 + 180
Add 2 to 180.
f(n) = 182
The answer is B.
5. Which sequence is described by f(n) = 2(3)^x-5.
This is the only one which I'm not sure how to solve. Since I don't know, I won't answer it because I don't want to give you the wrong answer to the question, sorry about that.
6. The ninth term in f(n) = 384(1/2)^n-1. Put 9 in for n & subtract 1 from 9.
f(n) = 384(1/2)^8
Raise 1/2 to the power of 8.
f(n) = 384(1/256)
Multiply 1/256 by 384.
f(n) = 384/256
Reduce the fraction & make it a mixed number.
f(n) = 1 1/2
Hope this helped!
Answer:
BD=7
ED=5
BE=7
AD=10
AE=5
Step-by-step explanation:
given CD = 7 you use that to find BD and BE because CD´s line length is the same as BD and BE
given BC = 5 you use that to find ED and AE and AD because BC is the same length as ED (they create the same triangle) and than given AE also equals 5 you add ED and AE to get AD
hope this helps
Answer:
mixed number form: 9 1/3
decimal form: 9.3 (repeating)
Step-by-step explanation:
