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Y_Kistochka [10]
3 years ago
13

E is the midpoint of DF. IF DE = x + 5 and DF = 3x + 2, what is DF?

Mathematics
2 answers:
suter [353]3 years ago
8 0

Answer:

13

Step-by-step explanation:

If E is the midpoint, Then DE = FE

=> x+5 = 3x+2

=> 3x-x = 5-2

=> 2x = 3

=> x = 3/2

<u><em>Now DF:</em></u>

=> 3/2 + 5 + 3(3/2)+2

=> (3+10)/2 + (9+4)/2

=>  (13+13)/2

=> 26/2

=> 13

prisoha [69]3 years ago
6 0

Answer:

13

Step-by-step explanation:

x+5=3x+2

5=2x+2

3=2x

x=1.5

1.5+5=6.5

6.5 is half of DF, DF=13

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Write an expression to represent the pattern 19, 27, 35, 43
Mama L [17]

Answer

1) The expression to represent the pattern is 11 + 8n

2) The expression to represent the pattern is 80 - 9n

Step-by-step explanation:

1) Lets study the pattern;

- 19 , 27 , 35 , 43 , ..................

27 - 19 = 8

35 - 27 = 8

43 - 35 = 8

The difference is constant between each two consecutive terms

It is an arithmetic sequence

Lets take about the arithmetic sequence

If the first term is a and the constant difference is d

a1 = a , a2 = a + d , a3 = a + 2d , a4 = a+ 3d , ........

an = a + (n - 1)d, where n the position of the term in the sequence

Now we will use this rule to find the expression of our pattern

a = 19 , d = 8

an = 19 + (n - 1)(8) ⇒ an = 19 + 8n - 8 ⇒ an = 11 + 8n

Lets check it;

a3 = 11 + 8(3) = 11 + 24 = 35 ⇒ true

The expression to represent the pattern is 11 + 8n

Step 2) Lets study the pattern;

- 71 , 62 , 53 , 44 , ...

62 - 71 = -9

53 - 62 = -9

44 - 53 = -9

The difference is constant between each two consecutive terms

It is an arithmetic sequence

We will use the same rule above to find the expression of the pattern

a = 71 , d = -9

an = 71 + (n - 1)(-9) ⇒ an = 71 + -9n + 9 ⇒ an = 80 - 9n

Lets check it;

a4 = 80 - 9(4) = 80 - 36 = 44 ⇒ true

The expression to represent the pattern is 80 - 9n

7 0
3 years ago
What is the gcf of 16 24 32
miskamm [114]
The gcf out of those three numbers should be 8
5 0
3 years ago
Read 2 more answers
If r/s = 22 and the value of r is 242, what is the value of s
jekas [21]

Answer:

s = 11

Step-by-step explanation:

Given

\frac{r}{s} = 22 ← substitute r = 242

\frac{242}{s} = 22 ( multiply both sides by s )

242 = 22s ( divide both sides by 22 )

11 = s

7 0
3 years ago
Read 2 more answers
Which set of numbers correctly identifies the lower extreme, the lower quartile, the median, the upper quartile, and the upper e
kobusy [5.1K]
I think the answer is c
6 0
3 years ago
Read 2 more answers
E^0.5ln9=? no calculator
Neko [114]
e^{0.5\ln 9}=e^\ln{9^{0.5}}=9^{0.5}= \sqrt{9} =3

Use the property of logs: a ln b = ln (b^a)
Also e and log are inverses, so the cancel each other
5 0
3 years ago
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