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Mrrafil [7]
3 years ago
11

2x – 3y = -5

Mathematics
1 answer:
vampirchik [111]3 years ago
4 0

Answer:

y = 3

Step-by-step explanation:

2x-3y = -5 --------- (1)

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

substitute (2) into (1)

2x-3y = -5

2x-3( 2+x ) = -5

2x-6-x = -5

2x-x = -5+6

x = 1

substitute x = 1 into (2)

y = 2+x

y = 2+1

y = 3

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The triangular numbers are defined by the recursive formula t1 = 1, tn = tn - 1 + n, where n ∈N and n > 1. What are the first
GalinKa [24]

ANSWER

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

EXPLANATION

The recursive formula is,

t_1=1,t_n=t_{n-1}+n

when n is a natural number greater than 1.

When n=2,

t_2=t_{2-1}+2

t_2=t_{1}+2 = 1 + 2 = 3

when n=3,

t_3=t_{2}+2 = 3 + 3= 6

when t=4,

t_4=t_{3}+2 = 6+ 4= 10

When t=5,

t_5=t_{4}+5 = 10 + 5 = 15

when t=6,.

t_6=t_{5}+6 = 15 + 6 = 21

when t=7

t_7=t_{6}+7 = 21 + 7 = 28

When t=8,

t_8=t_{7}+8 = 28 + 8 = 36

When t=9,

t_9=t_{8}+9 = 36 + 9 = 45

Hence the first nine triangular number are

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

3 0
3 years ago
What is the equation of a line that contains the point (2.1) and is parallel to
atroni [7]

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 4 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , so

y = 3x + c ← is the partial equation

To find c substitute (2, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 3x - 5 ← equation of parallel line → D

3 0
3 years ago
Read 2 more answers
The number 320 million written in scientific notation would be _____.
lisabon 2012 [21]
The scientific notation: a\cdot10^n\ where\ 1\leq a < 10\ and\ n\in\mathbb{Z}

320\ milion=320\cdot1,000,000=320\cdot10^6=3.2\cdot10^8

Answer: B. 3.2 × 10^8
6 0
3 years ago
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1. Layne rode his bike from Point A to B by
postnew [5]

Answer:

cherry street is 85 yards, while orange dr. and peach ave. is 113 yards, meaning that cherry st. is 28 yards faster

Step-by-step explanation:

(85 x 85) - (77 - 77) = 1296

square root of 1296 is 36

77 + 36 = 113

113 - 85 = 28

this means that cherry st. is 28 yds faster

using the Pythagorean Theorum

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Use the diagram below to name the following
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1. Line a and line b
2. Segment VX and segment YZ
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4. Angle YWV and Angle XWZ
5. Plane D and Plane VWX
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