A "regular quadrilateral" is a square, so the length and width are both 4 cm. The surface area of a rectangular prism is given by
S = 2(LW +H(L +W))
S = 2((4 cm)*(4 cm) +(6 cm)*(4 cm +4 cm))
S = 2(16 cm² +48 cm²)
S = 2*64 cm² = 128 cm²
The surface area of the prism is 128 cm².
Answer:
k=16
Step-by-step explanation:
k/4 - 1 = 3
Add 1 to both sides
k/4 = 4
multiply both sides by 4
k = 16
Answer:
= 8 - 11n
Step-by-step explanation:
These are the terms of an arithmetic sequence with n th term
= a + (n - 1)d
where a is the first term and d the common difference
here a = - 3 and
d = - 14 - (- 3) = - 14 + 3 = -11, thus
= - 3 - 11(n - 1)
= - 3 - 11n + 11
= 8 - 11n
Answer:
-12
Step-by-step explanation:
Since a = -6,we have to multiply 2 and -6,and you get -12 bc we have to put the sign of the bigger digit which is -6 in this problem,so you have to write -12
Answer:
x is 11
Step-by-step explanation:
We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)
Substitute the numbers into the equation
y--4=3/4(x-3)
simplify
y+4=3/4(x-3)
do the distributive property
y+4=3/4x-9/4
subtract 4 from both sides
y=3/4x-25/4
this is the equation of the line.
Since it says that (x,2) is a point in the equation, we can substitute it into the equation
2=3/4x-25/4
add 25/4 to both sides
33/4=3/4x
multiply by 4/3
11=x
we can double check by plugging (11,2) into the equation of the line.
2=3/4(11)-25/4
2=33/4-25/4
2=2
it works! :)
Hope this helps!
