Answer/Step-by-step explanation:
Given,
10x - 3y = 3
3x + 10y = 30
Rewrite both equation in slope-intercept form, y = mx + b.
Where, m = slope of the line.
Thus,
✔️10x - 3y = 3
-3y = -10x + 3
y = 10/3x - 1
Slope of this line would be 10/3
✔️3x + 10y = 30
10y = -3x + 30
y = -3/10x + 3
The slope of this line is -³/10.
✔️The two lines are pendivukar to each other because the slope of one is the negative reciprocal of the other.
578.5 is your answer.
take 650 x .11 and you get 71.5.
take 650 - 71.5 = 578.5
-120 + 13m, at time m = 6, would be -120 + 78, or -42 feet.
Answer:
8 ft i think there is't much context to go off of though
Step-by-step explanation:
Answer:
The GCF for the variable part is
k
Step-by-step explanation:
Since
18
k
,
15
k
3
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
18
k
,
15
k
3
:
1. Find the GCF for the numerical part
18
,
15
2. Find the GCF for the variable part
k
1
,
k
3
3. Multiply the values together
Find the common factors for the numerical part:
18
,
15
The factors for
18
are
1
,
2
,
3
,
6
,
9
,
18
.
Tap for more steps...
1
,
2
,
3
,
6
,
9
,
18
The factors for
15
are
1
,
3
,
5
,
15
.
Tap for more steps...
1
,
3
,
5
,
15
List all the factors for
18
,
15
to find the common factors.
18
:
1
,
2
,
3
,
6
,
9
,
18
15
:
1
,
3
,
5
,
15
The common factors for
18
,
15
are
1
,
3
.
1
,
3
The GCF for the numerical part is
3
.
GCF
Numerical
=
3
Next, find the common factors for the variable part:
k
,
k
3
The factor for
k
1
is
k
itself.
k
The factors for
k
3
are
k
⋅
k
⋅
k
.
k
⋅
k
⋅
k
List all the factors for
k
1
,
k
3
to find the common factors.
k
1
=
k
k
3
=
k
⋅
k
⋅
k
The common factor for the variables
k
1
,
k
3
is
k
.
k
The GCF for the variable part is
k
.
GCF
Variable
=
k
Multiply the GCF of the numerical part
3
and the GCF of the variable part
k
.
3
k