MATHEMATICS HIGH SCHOOL

Is the suare root of 13/16 rational or irrational

Answers

Answer 1
Answer:

Answer:

It is an irrational number (also it's spelled square root)
Answer 2
Answer:

Answer:

irrational

Step-by-step explanation:

\sqrt{(13)/(16) } =\sqrt{(13)/(4^(2) ) } =(√(13) )/(4)

but

√(13)

is irrational so all the expression is irrational

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Triangle D F G is shown. The length of D F is 11, the length of F G is 6, and the length of D G is 9. Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot What is the area of triangle DFG? Round to the nearest whole square unit. 27 square units 38 square units 364 square units 728 square units

Answers

Answer:

  27 square units

Step-by-step explanation:

To use Heron's formula, you need to know that "s" represents half the perimeter.

  s = (11 +6 +9)/2 = 13

Then the area is given by the formula as ...

  A = √(13(13 -11)(13 -6)(13 -9)) = √(13·2·7·4) = √728

  A ≈ 26.98 ≈ 27 . . . square units

Answer:

27 units

Step-by-step explanation:

correct answer on edge

4. The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. (Assume both planets are aligned with the sun and are on the same side of the sun.) Show your work. Convert your answer into scientific notation if necessary.

Answers

Time = distance/speed. T = 1,200,000,000/28,000. This can be cancelled to 1,200,000/28. Rounding 28 to 30 for the estimate, divide by another ten: 120,000. Then divide by the remaining 3 from 30: 120,000/3 = 40,000. It will take approximately 40,000 hours.

CAN SOMEONE HELP ME PLZZ

Answers

Answer:

We know that range is the set of outputs that shown on the y-axis of the graph, so we must find the endpoints of the graph on the y-axis. When we look, we get the endpoints -6 and 10, so we know that this is the range, and so we represent this in an expression:

-6 < y < 10

Step-by-step explanation:

Find the GCF of each expression. Then factor the expression. 25b^2 - 20b

Answers

Hello!

The prime factors of these two numbres are :

25b^2 = 5^2* b^2\n 20b = 5* 2^2 * b

The GCF can be calculated by multiplying common primes factors :
5* b = 5b

So the GCF is 5b and the expression can be factored this way :
25b^2 - 20b = 5b* 5b - 4* 5b = 5b\left(5b-4\right)

A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37

f(x), because an increasing quadratic function will eventually exceed an increasing exponential function
g(x), because an increasing exponential function will eventually exceed an increasing quadratic function
f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect
g(x), because an increasing quadratic function will always exceeds an increasing exponential function until their graphs intersect

Answers

Answer:

Option 2 is correct.

Step-by-step explanation:

We have been given points of g(x) and f(x)

g(x)  has ordered pairs  (0,1) ,(1,2) ,(3,8) ,(5,32) and (6,64) this is an exponential function which is g(x)=2^x from the given points.

f(x) has ordered pairs (0,1) ,(1,2) ,(3,10) ,(5,26) and (6,37)  this is a quadratic function

We will put these values in the quadratic function which is:

ax^2+bx+c=y

Taking (0,1)

a(0)+b(0)+c=1

c=1

Now, taking (1,2)

a+b+1=2

a+b=1   (1)

Now, taking (3,10)

a(3)^2+b(3)+1=10

9a+3b=9      (2)

Now, solving the equation (1) and (2) we get:

a=1 and b=0

Hence, the function f(x)=x^2+1  

Please look at the attachment for the graph

We can see that the g(x) an exponential function will eventually exceed the increasing quadratic function

Therefore, option 2 is correct.

I need to solve the equation and then graph the result

Answers

Answer:

p<-18

graph:

find -18, and draw an arrow going right
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