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Sloan [31]
3 years ago
14

Simplify equation -4a + 16a

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

Answer:12a

Step-by-step explanation:

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A 13-foot ladder is leaning against a building, forming a right triangle. The height where the ladder touches the building is se
Sonja [21]

Answer:

20 feet

Step-by-step explanation:

13 foot ladder + 7 feet more = 20 feet

3 0
3 years ago
What is the distance between the points (-1,4) and (7,4)?
user100 [1]

Answer:

8

Step-by-step explanation:

=(7−(−1))2+(4−4)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(8)2+(0)2‾‾‾‾‾‾‾‾‾‾√

=64+0‾‾‾‾‾‾√

=6‾√4

=8

8 0
3 years ago
Find the average rate of change of f(x) = -x² + 5x+2 from x=3 to x=6.
ivolga24 [154]

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The points at the ends of the interval are ...

  (3, f(3)) = (3, 8)

  (6, f(6)) = (6, -4)

The slope is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -8)/(6 -3) = -12/3 = -4

The average rate of change is -4.

6 0
3 years ago
The ratio of one lengths of corresponding sides of two similar hexagons is 4:7. Find the ratios of their PERIMETERS.
faust18 [17]

9514 1404 393

Answer:

  4 : 7

Step-by-step explanation:

The ratio of perimeters is exactly the same as the ratio of side lengths. Multiplying each side by 7/4 multiplies the sum of the sides by 7/4.

The ratio of perimeters is 4 : 7.

3 0
3 years ago
What series of transformations to quadrilateral ABCD map the quadrilateral onto ​ quadrilateral EFGH to prove that ABCD≅EFGH ?
Alex17521 [72]
B:  a reflection across the x-axis followed by a translation 4 units right.

Comparing the points to their mapped images compares A to E, B to F, C to G, and D to H.  In each point, the y-coordinate switches signs and the x-coordinate is subtracted by 4.

Reflections across the x-axis will switch the sign of the y-coordinate, and reflections across the y-axis will switch the sign of the x-coordinate.  Since the y-coordinates are the ones whose sign changed, the points must have been reflected across the x-axis.

Translations to the left will cause the x-coordinate to increase, and translations to the right will case the x-coordinate to decrease.  Since the x-coordinate of every point was subtracted, this means that the translation must have been to the right.
7 0
4 years ago
Read 2 more answers
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