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mixer [17]
3 years ago
15

Factor completely. ay^2 + 2ay - 3a

Mathematics
1 answer:
coldgirl [10]3 years ago
8 0
Ay^2+2ay-3a
a(y^2+2y-3)
a(y-1)(y+3)

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Robin surveyed 5 students from the choirs of 4 different schools. He asked them how many hours they practice singing each day. S
Fittoniya [83]

Answer:

The highest would be the letter B and the lowest would be letter C if the pat is what you need to know.

Hope it helps :)

3 0
2 years ago
Use the order of operations to simplify the expression (2/7)^2 x (7/9)^2
Vlad [161]
(2/7)^2 x (7/9)^2
((2^2)/(7^2)) x ((7^2)/(9^2))
(4/49) x (49/81)
*Cross multiply*
(4/81)
4 0
3 years ago
If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by​
PIT_PIT [208]

Answer:

The family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|} (1)

Where:

\theta - Angle between vectors, in sexagesimal degrees.

\|\vec a\|, \|\vec b \| - Norms of vectors \vec {a} and \vec{b}

If \theta is acute, then the cosine function is bounded between 0 a 1 and if we know that \vec {a} = (p, 3, -7) and \vec {b} = (p, -p, 4), then the possible values for p are:

Minimum (\cos \theta = 0)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0

Maximum (\cos \theta = 1)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1

With the help of a graphing tool we get the family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

7 0
2 years ago
How you can use Triangle congruence to solve real-world problems? give 3 examples.
Stells [14]

Answer:

1.Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.

2.The congruent triangle is used in most of the building that are design to stay in bad conditions and Strong winds for Example the Sydney Bridge.

3.in real life two triangles are rarely exactly congruent. However they are crucial in the construction of large man-made structures. This is because a triangle is the most stable shape and the congruence is needed to create even surfaces.

8 0
3 years ago
What is the area of the parallelogram?
Bezzdna [24]

The area of the parallelogram is mathematically given as

A = 7 square units Option B

<h3>What is the area of the parallelogram?</h3>

Generally, the equation for a parallelogram is mathematically given as

A=bH

Where

b=\sqrt{4^2+1^2}

b=4.123

and

H=1.75

Hence

A=3*1.75

A=7.2square units

In conclusion,  a parallelogram

A = 7 square units

Read more about parallelogram

brainly.com/question/1563728

#SPJ1

6 0
2 years ago
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