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Snowcat [4.5K]
3 years ago
10

The expression (x2 + 16x + 64) – (x + 8)(x – 4) can be rewritten as k(x + 8). What is the value of k? k =

Mathematics
1 answer:
9966 [12]3 years ago
5 0

expanding \\  {x}^{2}  + 16x + 64 - ( {x}^{2}  + 4x - 32)  \\ distributing \:  - 1 \\  {x}^{2}  + 16x + 64 -  {x}^{2}  - 4x + 32 \\ 12x + 96 \\ take \: a \: factor \: of \: 12 \\ 12(x + 8) \\ so \: k = 12
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Solve using the quadratic formula. h2 + 8h + 8 = 0 Write your answers as integers, proper or improper fractions in simplest form
Marina86 [1]
A=1 b=8 c=8
h = [-8 +-sq root(64 - 4*1*8)] / 2
h = [-8 +-sq root(32)] / 2
h1 = -4 + <span> <span> <span> 2.8284271247 </span> </span> </span>
h1 = <span> <span> <span> -1.1715728753 </span> </span> </span>
h2 = -4 - <span> <span> 2.8284271247
</span></span>h2 = -<span> 6.8284271247

</span>
3 0
3 years ago
. A building in the shape of a rectangular prism needs to be painted. Some facts about the building are shown below. The buildin
Softa [21]

Answer:

(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

Step-by-step explanation:

The lateral faces of the building are the 4 sides of the building consisting:

2 rectangles of 120 ft by 80 ft

Area of the two rectangular faces = (2)(120)(80)

And

2 rectangles of 120 ft by 50 ft

Area of the two rectangular faces = (2)(120)(50)

✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)

Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.

Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building

Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)

✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

6 0
2 years ago
What number is 6 more than 7?
11Alexandr11 [23.1K]

Answer:

13

Step-by-step explanation:

6 + 7 = 13

hope this helps, please mark me as brainliest!

6 0
3 years ago
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Digiron [165]
The mother is 25. i think
4 0
3 years ago
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X-11 &lt; 36<br> Answer here
Nat2105 [25]

Answer: x< 57

Step-by-step explanation:

x -11 < 36    Add 11 to both sides.

  +11    +11

x < 47

6 0
3 years ago
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