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Tpy6a [65]
3 years ago
14

Factor the quadratic expression. x2 + 16x + 48

Mathematics
2 answers:
kondaur [170]3 years ago
8 0
X² + 16x + 48
x                12
x                 4

find factors of x² and 48, that would add up to 16x

(x + 12)( x +4) is your answer, as using the FOIL method

FOIL (first, outside, inside, last)

x(x) = x²
x(4) = 4x
12(x) = 12x
12(4) = 48

x² + 4x + 12x + 48
simplify

x² + 16x + 48 (True)

you're answer is (x + 12)(x + 4)

hope this helps
Bingel [31]3 years ago
3 0
I will do my best to explain this “ x method “ I use
Basically, two factors of the first and last number must multiply together to sum up to equal the middle number
1 X 12
1 4
(x+12) (x+4)
Hope this helps!
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A 40-degree angle is translated 5 inches along a vector. What is the angle measurement, in degrees, of the Image?
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40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

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3 years ago
A person whose eye level is 20 feet above the ground is looking at a building. The angle of elevation to the top of the building
Inessa [10]
Distance of the person from the building (x)

tan 24 = 20/x => x = 20/tan 24 = 44.92 ft

The height of the building above the height of the person and the distance of the person from the building forms two legs of right angled triangle.

Therefore, if h is the height of the building, then;
tan 31 = (h-20)/44.92
h-20 = 44.92 tan 31
h = (44.92 tan 31) + 20 = 26.99 + 20 = 46.99 ft
8 0
3 years ago
Show how to solve 1/4 (4 + x) = 4/3<br><br><br><br> pls solve for 2 brainliest
Thepotemich [5.8K]
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(4+x) to
4
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4
4
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​
.
4
+
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4
=
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3
4
4+x
​
=
3
4
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4
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x
4
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4
1+
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x
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1
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×4

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1
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4 0
3 years ago
A waitress sold 10 ribeye steak dinners and 18 grilled salmon dinners, totaling $590.39 on a particular day. anither day she sol
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Answer:

   a) The cost of ribeye steak dinners is $ 16.96.

   b) The cost of grilled salmon dinners is $ 23.37.

Explanation:

 Let the cost for ribeye steak dinners  be m and cost for grilled salmon dinners  be n.

 A waitress sold 10 ribeye steak dinners and 18 grilled salmon dinners, totaling $590.39 on a particular day.

So, we have    

         10 m + 18 n = 590.39 -------equation 1

Another day she sold 22 ribeye steak dinners and 9 grilled salmon dinners, totaling $583.49

So, we have    

         22 m + 9 n = 583.49 -------equation 2

 equation 2 x 2

       44 m + 18 n = 1166.98 -------equation 3

 equation 3 - equation 1

        44 m + 18 n - (  10 m + 18 n ) = 1166.98 - 590.39

         m = 16.96 $

  Substituting in equation 1

        22 x 16.96 + 9 n = 583.49

          n = 23.37 $

   a) The cost of ribeye steak dinners is $ 16.96.

   b) The cost of grilled salmon dinners is $ 23.37.

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3 years ago
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elena-s [515]

Answer:

(-5,-6)

Step-by-step explanation:

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3 0
3 years ago
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