Answer:
Step-by-step explanation:
1)expand out the bracket
-15y+6=21
2) get the y to one side
6=21+15y
3) solve
15=15y
1=y
The total surface area of the triangular prism that has a height of h and the side length of a is given below.
<h3>What is a triangular prism?</h3>
A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.
A box is in the shape of an equilateral triangular prism.
If the box is to be covered with paper on its lateral sides.
Let a be the side length of the equilateral triangle and h be the height of the prism.
Then the surface area of the triangular prism will be
Surface area = 2 × area of triangle + 3 × area of the rectangle
The area of the triangle will be
The area of the rectangle will be
Then the total surface area will be
More about the triangular prism link is given below.
brainly.com/question/21308574
Answer:
x = cost of daylily = $12
y = cost of ivy = $2
Step-by-step explanation:
Let
x = cost of daylily
y = cost of ivy
Scott:
12x + 13y = 170
Ashley:
14x + 2y = 172
12x + 13y = 170 (1)
14x + 2y = 172 (2)
Multiply (1) by 14 and (2) by 12
168x + 182y = 2380 (3)
168x + 24y = 2064 (4)
Subtract (4) from (3) to eliminate x
182y - 24y = 2380 - 2064
158y = 316
y = 316/158
y = 2
Substitute y = 2 into (1)
12x + 13y = 170 (1)
12x + 13(2) = 170
12x + 26 = 170
12x = 170 - 26
12x = 144
x = 144/12
x = 12
x = cost of daylily = $12
y = cost of ivy = $2
Answer: it’s c
Step-by-step explanation:
Step (1)
We know that the sum of all the terms in an infinite geometric sequence finding from following equation whenever |q| < 1 .
q = magnitude
So :
Remember it I'll use it again.
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Step (2)
We know that the sum of the n first terms of a geometric sequence finding from following equation.
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Sum of all terms starting from the third is 9.
So :
Sides minus 9
So :
Factoring t(1)
We have found t(1) = 81 ( 1 - q ) in step (1).
So :
Divided sides by 81
Subtract sides minus -1
Negatives simplifies
Radical sides
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Step (4)
If q = 1/3 :
So :
°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
If q = - 1/3 :
So :
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And we're done.
Thanks for watching buddy good luck.
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