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Lelu [443]
3 years ago
12

Writing equations of lines

Mathematics
1 answer:
Valentin [98]3 years ago
7 0

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

You might be interested in
A) There are 100 students who play at least one of volleyball, soccer and hockey, of these 50 play au three games, 84 play socce
Scilla [17]

Answer:

<h2>i) 3</h2><h2>ii) 5</h2>

Step-by-step explanation:

Let H be the set of students who play Hokey

     V be the set of students who play Volleyball

     S be the set of students who play Soccer

======================================

card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]

                                 = 73 - [50 + (58-50) + (62-50)]

                                 = 73 - [50 + 8 + 12]

                                 = 73 - 70

                                 = 3

………………………………………………

Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]

                              = 100 - 95

                              = 5

…………………

<u><em>Note</em></u> :

A Venn diagram might be helpful in such case.

5 0
1 year ago
PLEASE HELP!! THANKS!!
Xelga [282]
A) x • 3 + 4 = 22
b) 22-4= 18
so since 18 is left, what times 3 = 18? thats 6. so
6 x 3 + 4 = 22
we can check.
18 + 4 = 22
it equals 22 so thats your answer. x = 6. hopes this helps
7 0
3 years ago
1. Find the domain and range of the function<br> f(x)=√1-4x².
slamgirl [31]

f(x) =  \sqrt{1 - 4{ x}^{2} }

1 - 4x {}^{2}  \geqslant 0

-  \infty  \:  \:  \:  \:  \:  \:  \:  \:  - 0.5 \:  \:  \:  \:  \:  \:  \:  \:  \: 0.5 \:  \:  \:  \:  \:  \:  \: \:   \infty  \\   -  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \: \:0  \:  \: \:  \:  \:   +  \:  \:  \:  \:0 \:  \:  \:  \:  \:   -

domain \\ [ \: -0.5 \: , \: 0.5 \: ]

g(x) = 1 - 4x {}^{2}  \\ g'(x) =  - 8x \\ g'(x) = 0 \\ x = 0 \\ g(0) = 1 - 4(0) = 1 \\ maximum \:  = 1

range  \\ [ \: 0 \:  ,  \: 1 \: ]

5 0
2 years ago
Read 2 more answers
What is the largest value in the sequence generated by the formula an = –n2 + 6n – 7?
Karolina [17]
Derive the equation and equate the derivative to zero.
                              dan/dt = -2n + 6 = 0
The value of n in the equation is 3. We substitute 3 to the original equation,
                                           an = -(3)² + 6(3) - 7 = 2
The answer to this item is letter B. 
5 0
3 years ago
Read 2 more answers
Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, .
Pie

Answer:

1. geometric 2. arithmetic

3 0
2 years ago
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