Jeremy makes a paperweight for his mother in the shape of a square pyramid. The base of the pyramid has a side length of 10 centimeters, and the lateral faces have heights of 11 centimeters. After he finishes,
he realizes that the paper weight is too small and decides to make another one. To make the second
pyramid, he doubles the length of the base in the first pyramid.
Select Yes or No to indicate whether the statement is correct.
?
The surface area of the second pyramid is 840 cm?.
The surface area doubled from the first pyramid to the second pyramid.
?
The lateral area doubled from the first pyramid to the second pyramid.
2

TRUE-The surface area of the second pyramid is 840 .

FALSE-The surface area doubled from the first pyramid to the second pyramid.

TRUE-The lateral area doubled from the first pyramid to the second pyramid.

Step-by-step explanation:

First Pyramid

Side length of the base of the square pyramid  = 10 centimeters

Heights of the lateral faces = 11 centimeters.

Lateral Area of the First Pyramid

Surface Area of the first Pyramid =Base Area + Lateral Area

Second Pyramid

Side length of the base of the square pyramid  = 2*10=20 centimeters

Heights of the lateral faces = 11 centimeters.

Lateral Area of the second Pyramid

Surface Area of the second Pyramid =Base Area + Lateral Area

From the above,

Also,

This statement is however false:

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!