Answer:
See explanation
Step-by-step explanation:
You forgot to give the coordinates of C.
Note that, the mapping for 90° clockwise rotation around the origin is given by:
Assuming the coordinates of C were (-6,6), then the coordinates of C after a 90° clockwise rotation
around the origin is (-6,-6)
(-2.9a + 6.8) + (4.4a - 7.3)
= -2.9a + 6.8 + 4.4a - 7.3
Combine like terms. All "a" terms can only be added to other "a" terms, and all non variable terms can only be added to other non variable terms.
= 1.5a - 0.5
Final Answer: D. 1.5a - 0.5
Answer:
7x+12y
Step-by-step explanation:
Simplify
4x+9y+3(x+y)
<em>Use the distributive property to multiply 3 by x+y.
</em>
4x+9y+3x+3y
<em>Combine 4x and 3x to get 7x.
</em>
7x+9y+3y
<em>Combine 9y and 3y to get 12y.
</em>
7x+12y
Answer:
The required expression is s = m + n
Step-by-step explanation:
Let m be the number of index cards stuffed in the envelopes and n be the number of extra index cards.
Let s be the total number of index cards.
Then, s = m + n represents the number of index cards the boys started with.
For Marty,
He has 15 stuffed envelopes and 4 extra index cards.
So, m = 15, n = 4
Therefore, s = 15 + 4 = 19
Marty started with 19 cards.
For Stewart,
He has 12 stuffed envelopes and 6 extra index cards.
So, m = 12, n = 6
Therefore, s = 12 + 6 = 18
Steward started with 18 cards.
9514 1404 393
Answer:
(a) 10.2 ft
Step-by-step explanation:
The total surface area S is the sum of the base area and the lateral area. The base area is the area of the two triangular bases, which have a "base" of 6 ft and a height of 4 ft.
area of 2 bases = 2(1/2)bh = bh = (6 ft)(4 ft) = 24 ft²
The lateral surface area is the sum of the areas of the three rectangular faces. That will be ...
total face area = (4 ft)(x) +(6 ft)(x) +(7.2 ft)(x) = (17.2 ft)(x)
So, the total surface area is ...
200 ft² = 24 ft² + (17.2 ft)(x)
176 ft² = (17.2 ft)x . . . . . . . . . . subtract 24 ft²
(176 ft²)/(17.2 ft) = x ≈ 10.2 ft . . . . . divide by the coefficient of x
The unknown prism height is about 10.2 ft.
