Answer:
The equation of the parallel line is
y = 3x + 9
Step-by-step explanation:
The general equation of a straight line is given as;
y = mx + c
where m is the slope and c is the intercept
If two lines are parallel, their slopes are equal
So the slope of the new line too is 3
Using the point-slope formula
y-y1 = m(x-x1)
y-12 = 3(x-1)
y-12 = 3x-3
y = 3x-3 + 12
y = 3x + 9
Answer:
1 < x < 3
(1 , 3)
Step-by-step explanation:
We have been provided with a set that is
{x|1 < x < 3}
We have to write it in both as an inequality and also in the form of interval notation.
The inequality can be found easily by just looking at the given set. It states that the set contains x, such that x is greater than 1 and x is smaller than 3, so the inequality can be written as:
1 < x < 3
To write in interval notation, we use brackets, As both 1 and 3 are not included, we'll use round brackets to show the interval.
(1 , 3)
Answer:
L=22feet
w=19feet
Step-by-step explanation:
Perimeter(p)=82
Length=(L)
Width=(w)
P=2L+2w
2L+2w=82 .......(1)
L-w=3........(11)
From (11) L=3+w
Substitute L=3+w in (1)
2(3+w)+2w=82
Clearing brackets
6+2w+2w=82
6+4w=82
Collect like terms
4w=82-6
4w=76
w=76/4
w=19
Substitute w=19 in (11)
L-19=3
Collect like terms
L=3+19
L=22
Answer:
= 18 cm^3
Step-by-step explanation:
V = Bh where B is the area of the base, which is the triangular face
B = 1/2 (4*3) = 6
V = 6* 3
V = 18 cm^3
