Answer:
y = 3x + 7.
To graph the line mark off the 2 points and draw a line through them.
Step-by-step explanation:
The slope = (-2-7) / (-3-0)
= -9/-3
= 3.
The value of b is found using the point-slope form of a line:
y - y1 = m(x - x1)
using m = 3, (x1, y1) = (0, 7):
y - 7 = 3(x - 0)
y = 3x + 7.
Answer:
1.
a.) 24in
b.)75.36in
c.)452.16in
Step-by-step explanation:
1a. The radius is half of the diameter, so all you have to do is add 12 + 12 which is 24.
1b. the circumfrence of a circle is C (Circumfrence)=
so replace radius for 12 and then do 3.14(pi) x 2 which will get you 6.28 times 6.28 by 12 and you will get 75.36.
1c. Area=
so first do the radius by the second power, or 
, susitute r for 12 and you will get 144, times 144 by pi and you will get 452.16in
Sorry I could not answer every question but hope this helps!
Answer:
Solutions are (1,2) and (-1/2,5)
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Step-by-step explanation:
y=6x^2-5x+1
y=-2x+4
<em>Substitute</em>
-2x+4=6x^2-5x+1
<em>Simplify</em>
0=6x^2-3x-3
<em>Solve by factoring</em>
(x-6/6)(x+3/6)=0
x-1=0, x+1/2=0
x=1, x=-1/2
<em>Plug x's into oringinal equation</em>
y=-2(1)+4, y=-2(-1/2)+4
y=-2+4, y=1+4
y=2, y=5
<em>Write out solutions</em>
(1,2) and (-1/2,5)
It can lie between any number lower than it and any number high than it.
For example, 419 and 421
The number of minutes it will take 5 machines to make 15 widgets is 90 minutes
Given that :
The time taken to make a widget is directly proportional to the number of widgets made and inversely proportional to the number of machines utilized.
Using the variation protocol defined :
Let :
n = number of widgets made
n = number of widgets made m = number of machines used
n = number of widgets made m = number of machines used t = time taken
Hence, from joint variation :
t α n α 1/m
t = kn/m
Where k = constant of proportionality :
Solving for k
When t = 10, n = 5, m = 15
10 = (k × 5) / 15
15 × 10 = 5k
150 = 5k
k = 150 / 5
k = 30
Equation becomes :
t = 30n/m
Solve for t ;
When m = 5 ; n = 15
t = (30 × 15) / 5
5t = 450
t = 450 / 5
t = 90
Hence, it will take 90 minutes.
Learn more : brainly.com/question/18796573
