Option 4 is the answer.
50+30
=80
10(5+3)
= 10×8
=80
Hence, the correct option => 10(5+3)
Hope it helps!
Answer:3
x
−
2
y
=
7
Explanation:
Write the standard form of the line that goes through
(
3
,
1
)
and is perpendicular to
y
=
−
2
3
x
+
4
.
The equation
y
=
−
2
3
x
+
4
is in slope intercept form
y
=
m
x
+
b
where
m
= slope and
b
= the
y
intercept.
The slope of this line is then
m
=
−
2
3
A perpendicular slope is the opposite sign reciprocal. So, we change the sign of
−
2
3
and switch the numerator and denominator.
Perpendicular slope
m
=
3
2
To find the equation of the new line, use the point slope equation
y
−
y
1
=
m
(
x
−
x
1
)
where
m
=
slope and
(
x
1
,
y
1
)
is a point.
The slope is
3
2
and the point is the given point
(
3
,
1
)
.
y
−
1
=
3
2
(
x
−
3
)
a
a
a
Distribute
y
−
1
=
3
2
x
−
9
2
Standard form is
a
x
+
b
y
=
c
where
a
,
b
and
c
are integers and
a
is positive.
a
a
2
(
y
−
1
=
3
2
x
−
9
2
)
a
a
a
Multiply the equation by
2
a
a
a
a
a
2
y
−
2
=
3
x
−
9
−
3
x
a
a
a
a
a
a
a
−
3
x
a
a
a
Subtract
3
x
from both sides
−
3
x
+
2
y
−
2
=
−
9
a
a
a
a
a
a
a
a
+
2
a
a
a
+
2
a
a
a Add 2 to both sides −
3
x
+
2
y
=
−
7
−
1
(
−
3
x
+
2
y
=
−
7
)
a
a
a
Multiply the equation by −
1
3
x
−
2
y
=
7
Answer:
N=15
Step-by-step explanation:
Becuase math is math
Don’t let the letter scare you, imagine this as a simple cross product!
(32 × 1) ÷ 8 = m
32 ÷ 8 = m
4 = m
There you go, the solution to this equation is that m = 4!
I really hope this helped, if there’s anything just let me know! ☻
Answer:
the ratio of the surface area of Pyramid A to Pyramid B is: 
Step-by-step explanation:
Given the information:
- Pyramid A : 648
- Pyramid B : 1,029
- Pyramid A and Pyramid B are similar
As we know that:
If two solids are similar, then the ratio of their volumes is equal to the cube
of the ratio of their corresponding linear measures.
<=> 
=
= 
= 
<=> 
Howver, If two solids are similar, then the
n ratio of their surface areas is equal to the square of the ratio of their corresponding linear measures
<=> 
=
So the ratio of the surface area of Pyramid A to Pyramid B is:
