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Lisa [10]
3 years ago
14

Factor the trinomial completely. 3n2 - 48n + 192

Mathematics
1 answer:
Charra [1.4K]3 years ago
3 0
3n^2 - 48n +192
n^2 - 16n + 64
(n^2 - 8)(n^2 - 8)
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Which transformation will carry pentagon EFGHI onto itself?
wariber [46]

Answer:

D

Step-by-step explanation:

The pentagon has 5 interior angles that add up to 360. To find the angle of rotational symmetry, divide 360 by 5 (you get 72). So if you rotated the shape 72 degrees, it will map onto itself. 72 times 2 is 144, and that's rotating the shape 72 degrees twice, so it will stay the same.

7 0
3 years ago
How to wirte a linear equation from a graph
astra-53 [7]
Hey there!
I'll assume we're using the slope-intercept form equation:
y = mx + b
m = slope
b = y-intercept
First, we keep the y, because it's value depends on the x value given.
Next, we find the slope. Slope is defined as rise/run, so we take two points on the graph, find how much taller one is from another, and how far right/left they are, put those values over each other, and we have out slope (m).
Finally, we need to determine the y-intercept, and that's as simple as seeing where the line crosses the y axis and writing down that value.
Hope this helps!
8 0
3 years ago
Which statement describes the congruent triangles
4vir4ik [10]

Answer:

2 triangles

Step-by-step explanation:

2 triangles are said to be congruent when all the corresponding sides of the angle and the interior angles are congruent . The two triangle are said to be the mirror image of each other.

3 0
3 years ago
Can someone please help me with these two questions ​
Anarel [89]

Answer:

  23.  0.4583 seconds

  24.  0.0107 seconds

Step-by-step explanation:

The problem statement tells you how to work it. You need to convert speed from miles per hour to feet (or inches) per second.

 90 mi/h = (90·5280 ft)/(3600 s) = 132 ft/s = (132·12 in)/s = 1584 in/s

__

23. The time it takes for the ball to travel 60.5 ft is ...

  time = distance/speed

  time = (60.5 ft)/(132 ft/s) = 0.4583 s

It takes 458.3 milliseconds to reach home plate.

__

24. time = distance/speed

  time = (17 in)/(1584 in/s) = 0.0107 s

The ball is in the strike zone for 10.7 milliseconds.

4 0
3 years ago
PLEASE HELP :'))
andreev551 [17]

Answer:

D) 54 cm

Step-by-step explanation:

We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is \frac{2}{3} of the distance from each of the triangle's vertices to the midpoint of the opposite side.

Therefore, R is \frac{2}{3} of the distance from U to V, since the latter is the midpoint of the side opposite to U. We know this because R belongs to UV, so R must be QS's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).

We can then write the following equation:

VR=\frac{1}{3} UV

Substituting VR = 18 into the equation gives us:

18=\frac{1}{3} UV

Solving for UV, we get:

18=\frac{1}{3} UV

3 *18=3*\frac{1}{3}UV (Multiply both sides of the equation by 3 to get rid of UV's coefficient)

54=UV (Simplify)

UV=54 (Symmetric Property of Equality)

Therefore, the answer is D. Hope this helps!

7 0
2 years ago
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