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soldier1979 [14.2K]
3 years ago
12

Explain why the hypotenuses of the triangles below have the same slope.

Mathematics
2 answers:
schepotkina [342]3 years ago
6 0
They have the same slope because they are similar. The smaller one is 1/2 the size of the bigger one and they have a ratio of 1:2 which makes them similar. 
Kitty [74]3 years ago
5 0
The hypotenuses are the same because they fall on the same line.
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A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining th
Anuta_ua [19.1K]
These are two questions and two answers:

Question 1:

<span>A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work.

Answer: </span><span>The negative value of the radicand means that the equation does not have real solutions.

Explanation:

1) With radicand the statement means the disciminant of the quadratic function.

2) The discriminant is: b² - 4ac, where a, b, and c are the coefficients of the quadratic equation: ax² + bx + c

3) Then, for 3x² - 15x + 20, a = 3, b = - 15, and c = 20

and the discriminant (radicand) is: (-15)² - 4(3)(20) = 225 - 240 = - 15.

4) The negative value of the radicand means that the equation does not have real solutions.

Question 2:

Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Answer:
</span> two solutions x = 1 and x = - 8/3x

Explanation:

1) I choose factoring (you may use the quadratic formula if you prefer)

2) Factoring

Given: 3x² + 5x − 8 = 0

Make 5x = 8x - 3x: 3x² + 8x - 3x - 8 = 0

Group: (3x² - 3x) + (8x - 8) = 0

Common factors for each group: 3x(x -1) + 8(x - 1) = 0

Coomon factor x - 1: (x - 1) (3x + 8) = 0

The two solutions are for each factor equal to zero:

x - 1 = 0 ⇒ x = 1
3x + 8 = 0 ⇒ x = -8/3

Those are the two solutions. x = 1 and x = - 8/3
4 0
3 years ago
Help me zearn please
Alenkinab [10]

Answer:

Radio= 7cm

Circumference = 43.96cm

4 0
3 years ago
35÷10=? in decimal form
spin [16.1K]

Answer:

3.5

Step-by-step explanation:

35 divided by 10 equals 3.5 .

4 0
4 years ago
Someone please help, is due tonight, will give brainly if helped. Thank you...
Alina [70]

Answer:

1. f & c,     d & e,

2. h & a,   g & b

3. h & d,    f & b,   g & c,     a & e

here ya go, i hope this is correct if i remember right

Step-by-step explanation:

3 0
3 years ago
Jethro wants a swimming pool in his backyard, so he digs a rectangular hole with dimensions 40 feet long, 20 feet wide, and 5 fe
Genrish500 [490]
<span>4000 so the answer is C
Hope this helps</span>
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3 years ago
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