Answer:
The slope is
5
3
.
The y-intercept is
−
10
.
Explanation:
5
x
−
3
y
=
30
is the standard form for a linear equation. The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope, and
b
is the y-intercept. To convert from standard form to slope-intercept form, solve the standard form for
y
.
5
x
−
3
y
=
30
Subtract
5
x
from both sides of the equation.
−
3
y
=
30
−
5
x
Divide both sides by
−
3
.
y
=
30
−
3
−
5
x
−
3
=
y
=
−
10
+
5
3
x
Rearrange the right hand side.
y
=
5
3
x
−
10
m
=
5
3
,
b
=
−
10
graph{y=5/3x-10 [-10, 10, -5, 5]}
Answer:
steps below
Step-by-step explanation:
3 = 2/3 m
m = 9/2
by the matrix property of associative: (A+B)+C = A+(B+C)
H = [-2 8 -1]
m x H = 9/2 x [-2 8 1] = [-9 36 -9/2]
The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
<h3>What is a right rectangular prism?</h3>
A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
=
+ 
=
+ 
= 196 + 169 = 365
= 365
diagonal =
= 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
Learn more about Right rectangular prism: brainly.com/question/3317747
#SPJ1
Answer:
12
Step-by-step explanation:
4/5 x -6 = -2
4 x -30 = -10
-120 = -10
12
Answer:
535.07
Step-by-step explanation:
S=P(1+ i) ^n
i= nominal rate of interest / number of compounding periods
i =. 06/12
=0.18
Divided by 100
=0.0018
n- number of times interest is given per year x the number of years
n=12x3
=36
8000(1+0.0018)^36
=8535.07
Interest
8535.07 - 8000
=535.07