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aivan3 [116]
2 years ago
14

Is the length of the hypotenuse of a right triangle with legs that measure 5 cm and 6 cm a rational number or an irrational numb

er? Justify your answer.
Mathematics
1 answer:
Brut [27]2 years ago
4 0

Answer:

irrational

Step-by-step explanation:

Use the Pythagorean theorem.

5² + 6² = c²

25 + 36 = c²

c² = 61

7² = 49

6² = 64

61 is between 7² and 8², so it is not rational.

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A system of equations is shown below.
prisoha [69]

Given:

The system of equations is

y=1.5x-3

y=1.5x+4

To find:

The true statement about the given system of equations.

Solution:

The slope intercept form of a line is

y=mx+b

Where, m is the slope and b is the y-intercept.

We have,

y=1.5x-3

y=1.5x+4

On comparing these two lines with slope intercept form, we get

m_1=1.5,b_1=-3

m_2=1.5,b_2=4

Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.

Therefore, the correct option is A.

5 0
3 years ago
What is an<br> Answer:<br> equation of the line that passes through the points (-2, 7) and (-8, 4)?
Mariana [72]
-2=x1 7=y1 -8=x2 4=y2

Y=Mx+b

Y2-y1 = 4-7 =-3
X2-x1 = -8-(-2) = -6
M (slope) = 3

Use the coordinate (-8, 4)

Y = MX + B = 4 = 3(-8) + b
4 = -24+ B
Add 24 to both sides to keep your equation balanced
B equals 28

Y = 3X + 28
4 0
2 years ago
Read 2 more answers
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second num
krek1111 [17]

Answer:

10:40

Step-by-step explanation:

7 0
3 years ago
Find the volume of each solid figure
Naddik [55]
Your answer is 270 hope this helps
3 0
3 years ago
What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?
Ahat [919]
<span>3x + y = 9 (I)
</span><span>y = –4x + 10 (II)
------------------------
</span>\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.

Pass the incognito "4x" to the first term, changing the signal when changing sides.
<span>-------------------------
simplify by (-1)
</span>\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.<span>

-------------------------
</span>\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right.     &#10;
<span>
-------------------------
</span>\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.<span>

-----------
</span>\boxed{x = 1}<span><span>

</span></span><span>Substitute in equation (I) to find the value of "Y".

</span>3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
\boxed{y = 6}

Answer:
\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}

6 0
3 years ago
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