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Goryan [66]
3 years ago
10

Helppppppp I will give brainliest Which equation makes a straight line?

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0

Answer:

a) The equation of the straight line passing through the origin and having slope m=-5

 y = -5x

b)  The equation of the straight line in slope-intercept form

 y = 2 x -1

Step-by-step explanation:

<u><em>Step(i):-</em></u>

We know that the equation of the straight line passing through the point (x₁, y₁) and having slope  'm'

y - y₁ = m(x-x₁)

a)

Given that the equation of the straight line passing through the origin and having slope m=-5

 y = -5x

<u><em>Step(ii):-</em></u>

b)

Given that the equation of the straight line in slope-intercept form

 y = m x +c

 y = 2 x -1

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A circle is centered at the point (5,-4) &amp; passes through the point (-3,2).
maxonik [38]

Equation of the circle:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

The equation of a circle is given by

(x-x_0)^2+(y-y_0)^2=r^2

where

(x_0,y_0) are the coordinates of the center of the circle

r is the radius of the circle

For the circle in this problem, we know that:

(5,4) are the coordinates of the center

We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

r=\sqrt{(-3-(5))^2+(2-(-4))^2}=\sqrt{(-8)^2+(6)^2}=\sqrt{64+36}=10

Therefore, the equation of the circle is:

(x-5)^2+(y-(-4))^2=10^2\\(x-5)^2+(y+4)^2=100

Learn more about circles:

brainly.com/question/4713715

brainly.com/question/3456442

brainly.com/question/3333996

#LearnwithBrainly

5 0
3 years ago
Billy has 2 3/4 gallons of green paint left over from last year. He buys 6 new quarts of green paint. How much green paint does
Kryger [21]

Answer:

15 or 16 is it your welcome

5 0
3 years ago
Help me with this plz
Paul [167]
1) 7000+300+10+3
2) 900,000+90,000+400+40+6
3) 600+80+2
4)30,000+7000+900+10+1
5)3,000,000+900,000+40,000+1,000+400+70+7
6)8000+400+70+4
7)700+70+2
8)30,000+7000+200+80+2
9)700,000+30,000+5,000+800+10+1
10)40,000+6000+400+40+9
11)5000+8000+70+2
12)5,000,000+700,000+50,000+8,000+900+40+5
13)5,000,000+900,000+90,000+8,000+800+90+0
14)300+70+7
15)300,000+20,000+3,000+200+40+8
5 0
3 years ago
Read 2 more answers
An asymptote for a function f(x) is a straight line which is approached but never reached by f(x).
ladessa [460]

Answer:

True

Step-by-step explanation:

That is the definition of a asymptote.  It is approached but will never get to the line.

3 0
4 years ago
Read 2 more answers
Will mark BRAINLIST for only correct answer
katovenus [111]

Answer:

Gym A

Step-by-step explanation:

A linear relationship is a relationship of the form y = mx + b, where y and x are the linear variables, m is the rate of change and b is the value of y when x = 0.

Gym A:

Let x represent the month and y represent the total cost for the gym. From the table, we can represent the values in the form (x, y) as (1,70), (2, 90) and (3, 110). We can find the relationship between x and y using the formula:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\Let \ us\ use\ the\ points\  (1,70)\ and\ (3,110),hence:\\\\y-70=\frac{110-70}{3-1}(x-1)\\\\y-70=20(x-1)\\\\y=20x-20+70 \\\\y=20x+50\\\\For\ 10\ months(i.e.\ x=10):\\\\y=20x+50\\\\y=20(10)+50\\\\y=\$250

Gym B:

We can represent the values from the table as (1,55), (2, 80) and (3, 105). We can find the relationship between x and y using the formula:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\Let \ us\ use\ the\ points\  (1,55)\ and\ (3,105),hence:\\\\y-55=\frac{105-55}{3-1}(x-1)\\\\y-55=25(x-1)\\\\y=25x-25+55 \\\\y=25x+30\\\\For\ 10\ months(i.e.\ x=10):\\\\y=25x+30\\\\y=25(10)+30\\\\y=\$28 0

Hence gym A would cost less ($250 < $280)

4 0
3 years ago
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