Answer:(0,4), (-1,0), (-4,-2)
Step-by-step explanation:
MN + NP = MP
6x - 7 + 2x + 3 = 60
8x - 4 = 60
8x = 64
x = 8
MN = 6(8) - 7 = 56 - 7 = 49
answer
x = 8
MN = 49
Answer:
1st - Yes ; 2nd - Yes ; 3rd - Yes ; 4th - No
Step-by-step explanation:
Answer:

Step-by-step explanation:
We are given 2 fractions.
1st fraction is Negative StartFraction 3 over 8
i.e.

2nd fraction is negative one-fourth
i.e.

We have to find the quotient when 1st fraction is divided by 2nd fraction.
<u>Definition</u> of quotient is given as:
Quotient is the result obtained when one number is divided by other number.

is converted to
and the 2nd fraction is reversed i.e.
if the fraction is
it becomes
and the sign
is changed to
.
Solving above:

So, the quotient is
.
Answer:
The total surface area of triangular pyramid is 172 cm squared
Step-by-step explanation:
Triangular pyramid:
- Number of faces 4.
- Number of vertices of a triangular pyramid is 6.
- The volume is
. A= area of the pyramid's base and H= height of the pyramid.
- The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.
Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.
The 3 sides of the triangular pyramid is triangle in shape.
The area of triangle is
.
The lateral surface area of the triangular pyramid is

cm squared
=129 cm squared
The total surface area of triangular pyramid is
=Area of the base + lateral surface area
=(43+129) cm squared
=172 cm squared