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3 years ago

How many solutions does y = 3x - 5 and 6x - 2y = 10 has?

Mathematics

1 answer:

Basile [38]3 years ago

6 0

Answer:

I think it d infinitely many solutions

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What's the answer ?

Fittoniya [83]

The answer would be C.

3 0

3 years ago

An AP consists of 55 terms of which 5th term is 14 and last term is 144. Find the 29th term

Stels [109]

Answer:

29th term = 76.4

Step-by-step explanation:

Total terms = 55

aₙ = a + (n - 1) d

5th term = a₅ = 14

a + (5 - 1)*d = 14

a + 4d = 14 --------------------(I)

last term = a₅₅ = 144

a + (55 - 1)d = 144

a + 54d = 144----------------(II)

Multiply equation (II) by (-1)

(I) a + 4d = 14

(II)*(-1) -a - 54d = -144 {Now add and thus a will be eliminated}

-50d = -130

d = -130/-50

d = 2.6

Plug in d = 2.6 in equation (I)

a + 4* 2.6 = 14

a + 10.4 = 14

a = 14 - 10.4

a = 3.6

29th term = a₂₉ = 3.6 + (29 - 1)* 2.6

= 3.6 + 28* 2.6

= 3.6 + 72.8

a₂₉ = 76.4

3 0

3 years ago

Read 2 more answers

Let's say you have this data: 25, 26, 24, 26, 25, 7, 8, 8, 15, 10, 25, 24, 26 What should your bin size be if you want to have 1

Arte-miy333 [17]

Your bin size should be 2

8 0

3 years ago

Twenty-five percent of the data falls below what number?

pychu [463]

Answer:

60 is the best answer for this question

3 0

3 years ago

Sonbull [250]

Answer:

$x=\boxed{6.6}$

$\overline{\sf DE}=\boxed{13.2}\:\:\sf units$

Step-by-step explanation:

Geometric Mean Theorem - Altitude Rule

The altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments. The ratio of one segment to the altitude is equal to the ratio of the altitude to the other segment:

$\sf \dfrac{segment\:1}{altitude}=\dfrac{altitude}{segment\:2}$

From inspection of the given diagram:

altitude = FD = 9
segment 1 = CD = 5
segment 2 = DE = $2x+3$

$\begin{aligned}\sf \dfrac{segment\:1}{altitude} & = \sf \dfrac{altitude}{segment\:2}\\\\\implies \dfrac{5}{9} & = \dfrac{9}{2x+3}\\\\5(2x+3) & = 81\\\\10x+15 & = 81\\\\10x & = 66\\\\ \implies x & = 6.6\end{aligned}$

Substitute the found value of x into the expression for DE:

$\begin{aligned}\sf \overline{DE} & = 2x+3\\\implies \sf \overline{DE} & = 2(6.6)+3\\& = 13.2+3\\& =16.2\:\: \sf units\end{aligned}$

5 0

2 years ago

Read 2 more answers