Hello from MrBillDoesMath!
Answer:
12a + 18b
Discussion:
The question asks us to calculate
24a + 10 b - (12a - 8b) => (combine common terms)
(24a - 12a) + ( 10b + 8b) => ( as - (-8b) = + 8b)
12a + 18b
Regards,
MrB
Given:
Side length of base = 8
Slant height = 6
To find:
The surface area of the square pyramid.
Solution:
Surface area:

where A is the area of base
p is the perimeter of base
s is the slant height
Area of base (A) = 8 × 8
= 64
Perimeter of base(P) = 4 × 8
= 32
Substitute these in the formula:



The surface area of the square pyramid is 160 unit².
Answer:
Let m be the number of muffins.
a) 4m <= 30
b) m <= 7.5, so the maximum number of muffins to buy is 7.
c) $4 × 7 = $28, so $2 will be left over.
Answer:
Picture #1: x=16 ; y=10
Picture #2: x=21 ; y=15
Picture #3: x=18
Step-by-step explanation:
Picture #1:
(8x-14)* and (5x+34)* are Alternate Exterior Angle so they are congruent. And (8x-14)* and (5y+16)* are supplementary so they equal 180*.
Picture #2:
(6x+7)* and (3x-16)* are supplementary so they equal 180*. And (6x+7)* and (11y-32)* are Vertical Angles so they are congruent.
Picture #3:
(7x-6)* and (4x-7)* are supplementary so they equal 180*.
Answer:
A) T'(-3, 6) and V'(0, 3)
Step-by-step explanation:
In the picture attached, triangle TVW is shown.
Transforming points T and V according to the rule (x,y) -> (3/4x, 3/4y), we get:
T(-4, 8) -> (-4*3/4, 8*3/4) -> (-3, 6) which corresponds to T'
V(0, 4) -> (0*3/4, 4*3/4) -> (0, 3) which corresponds to V'