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3 years ago

9

Mason and Laney ran laps to train for the long-distance running team. The ratio of the number of laps Mason ran to the number of

laps Laney ran was 2 to 3. If Laney ran 36 laps, how many laps did Mason run?
I need the fast plz

1 answer:

AURORKA [14]3 years ago

6 0

The answer is 21. It’s obvious.

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The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.

Alecsey [184]

Answer:

Option (C)

Step-by-step explanation:

Equation of the quadratic function having vertex at (3, 4) and opening upwards,

So the the minimum point of the function is (3, 4).

Therefore, minimum value of the function is 4 at x = 3.

y = (x - h)² + k [Here, (h, k) is the vertex]

g(x) = 2(x - 4)² + 3

Vertex of the parabola is (4, 3).

Since, leading coefficient is positive, parabola will open upwards.

Therefore, vertex will be the minimum point.

Minimum value of the function will be 3 at x = 4.

Minimum value of the function 'f' is greater than the minimum value of the function 'g'.

Option (C) will be the answer.

6 0

3 years ago

Priya noticed in the last activity that between the 2 triangles, you only need to know 4 angles to show that they are similar. S

ValentinkaMS [17]

Answer:

Please find attached a drawing of the triangles ΔRST and EFG showing the angles

The angle on ΔEFG that would prove the triangles are similar is ∠F = 25°

Step-by-step explanation:

In order to prove that two triangles are similar, two known angles of each the triangles need to be shown to be equal

Given that triangle ∠R and ∠S of triangle ΔRST are 95° and 25°, respectively, and that ∠E of ΔEFG is given as 90°, then the corresponding angle on ΔEFG to angle ∠S = 25° which is ∠F should also be 25°

Therefore, the angle on ΔEFG that would prove the triangles are similar is ∠F = 25°.

3 0

3 years ago

Consider the vector add = a + b = [13 12 11 10 10] and sub = a - b = [-11 - 6 - 14 8]. Find the vector a and b.

prisoha [69]

Answer:

a = [1 3 5 7 9] and b = [12 9 6 3 1]

Step-by-step explanation:

The addition of two vectors a and b is defined as

a + b = [13 12 11 10 10] .... (1)

The subtraction of two vectors a and b is defined as

a - b = [-11 - 6 - 1 4 8] .... (2)

After adding (1) and (2), we get

(a + b) + (a - b)= [13 12 11 10 10] + [-11 - 6 - 1 4 8]

On simplification we get

2a = [13-11 12-6 11-1 10+4 10+8]

2a = [2 6 10 14 18]

Divide both sides by 2.

a = [1 3 5 7 9]

Substitute the value of vector a in equation (1).

[1 3 5 7 9] + b = [13 12 11 10 10]

Subtract vector a from both sides.

b = [13 12 11 10 10] - [1 3 5 7 9]

On simplification we get

b = [13-1 12-3 11-5 10-7 10-9]

b = [12 9 6 3 1]

Therefore the vectors a and b are defined as a = [1 3 5 7 9] and b = [12 9 6 3 1].

4 0

3 years ago

What is the angle of rotation of this regular octagon? what is the measure of an interior angle?

MrRissso [65]

Second question:
sum of all the interior angle 180*(8-2)=1080 degree
sum of one interior angle 1080/8=135 degree

6 0

3 years ago

Please help me i dony know how to do this

Ipatiy [6.2K]

Substitute y = -2x + 4 into 7y = -14x +28

7y = -14x +28
7(-2x + 4)= -14x +28
-14x + 28 = -14x +28
0 = 0

answer
infinitely many solutions

8 0

4 years ago