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3 years ago

10π-7π rational or irrational

Mathematics

2 answers:

nikdorinn [45]3 years ago

7 0

Question:

10π-7π rational or irrational

Answer:

Simplify,

= 3π

3π is a irrational number because you cannot simplify that.

Hope that helped!!

~Serina

Liula [17]3 years ago

4 0

It is not rational..........

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Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

6 0

1 year ago

Help please show step by step

kobusy [5.1K]

Answer:

82.5 sq ft

Step-by-step explanation:

paralaalallelomgram area = b*h so the b is the base and base is 10 and h is the height and height is 8.25 so 10 & 8.25 = 82.5 sq ft

7 0

3 years ago

Al sumar fracciones con igual denominador, debemos sumar numerador con numerador y denominador con denominador. Verdadero o fals

Ahat [919]

Answer:

La respuesta es falso.

Step-by-step explanation:

La respuesta es falso.

Cuando se suman fraccciones con igual denominador, se suman los numeradores (numerador con numerador) y se deja el mismo denominador (el cual es común en ambos). Por ejemplo, la suma de 1/5 + 3/5 da como resultado:

$\frac{1}{5} + \frac{3}{5} = \frac{1 + 3}{5} = \frac{4}{5}$

En el caso de fracciones con diferentes denominadores, tampoco se suma numerador con numerador y denominador con denominador. En ese caso se debe encontrar el mínimo común múltiplo.

Por lo tanto, la respuesta es falso.

Espero que te sea de utilidad!

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3 years ago

Solve by any method (graphing, substitution, linear combination) <br> y=x−7 <br> 5x+2y=7

Virty [35]

Answer:

(x, y) = (3, -4)

Step-by-step explanation:

See the attached for a graph.

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3 years ago

Measuring the speed of sound in the ocean is an important part of marine research. One application is the study of climate chang

dalvyx [7]

Answer:

A linear formula for S as a function of D is S=17D+1534

Step-by-step explanation:

We are supposed to find a linear formula for S as a function of D.

Equation of line : y = mx+c

We are given that At the surface, the speed of sound is 1534 meters per second.

c = 1534

We are given that for each increase in depth by 1 km, the speed increases by 17 m/s

So, Slope = m = 17

Substitute the values in equation

y=17x+1534

x denotes depth

y denotes speed

We are given that Use D for depth and S for the speed of sound

So, S=17D+1534

Hence a linear formula for S as a function of D is S=17D+1534

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3 years ago