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mr Goodwill [35]
4 years ago
13

How does finding the square root of a number compare to finding the cube root lf a number? Use the number 64 in your explainatio

n.
Mathematics
1 answer:
xenn [34]4 years ago
6 0

If you want to know the concept of square roots and cube roots ?

the square root of a number is that number which when multiplied by itself two times gives us that number

e.g.

√64 = x , so that (x)(x) = 64

and from our multiplication table we know that

(8)(8) = 64 , so that

√64 = 8

the cube root of a number is that number which when multiplied by itself three times gives us that number

e.g.

∛64 = x , so that (x)(x)(x) = 64 , and thus x = 4 because 4x4x4 = 64

so ∛64 = 4

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Make a conjecture about the next item in the sequence. 6, 2, −4, −8, −14
Dmitry_Shevchenko [17]
The next item in the sequence will be -18, as the sequence is subtracting 4, then subtracting 6, then subtracting 4, and so forth. To continue the sequence, the next number will be 4 less than -14, which is -18.

Hope this helps!!
3 0
3 years ago
Which line has the same slope as the line passing through (-4,-1)and (-1,8)?
marusya05 [52]

Answer:

A: 9x-3y =5

Step-by-step explanation:

slope of the line = (8-(-1))/(-1)-(-4) = 3

so y = mx+ c , where m= slope

the equation 9x-3y= 5 has the slope 3 since we can make y the subject of the formula to get

y= 3x - 5/3..here m is also equal to 3

7 0
3 years ago
Solve the equation x^2=26
Volgvan

Take the square root. The opposite of squaring something is taking the root :)

√x^2 = √26

x = √26

x = 5.099...

OR leave it if your teacher doesn't want a decimal since it can't be simplified anymore


8 0
3 years ago
PLEASE HELP!!
Bezzdna [24]

Answer:

y=-\dfrac{9}{40}x^2+\dfrac{441}{40}\\ \\y=-\dfrac{9}{160}x^2+\dfrac{1,521}{160}

Step-by-step explanation:

If a parabola has its vertex on the y-axis, then its equation is

y=ax^2+b

This parabola passes through the point R(3,9), then

9=a\cdot 3^2+b\\ \\9=9a+b

The area of the right triangle PQR is

A_{PQR}=\dfrac{1}{2}\cdot PQ\cdot QR

Find PQ and QR, if P(x_1,0),\ Q(3,0),\ R(3,9):

PQ=\sqrt{(x_1-3)^2+(0-0)^2}=|x_1-3|\\\\QR=\sqrt{(3-3)^2+(0-9)^2}=9

Now,

40.5=\dfrac{1}{2}\cdot |x_1-3|\cdot 9\\ \\90=9|x_1-3|\\ \\|x_1-3|=10\\ \\x_1-3=10\ \text{or}\ x_1-3=-10\\ \\x_1=13\ \text{or }x_1=-7

We get two possible points P_1(-7,0) and P_2(13,0).

For point P_1:\\

0=a\cdot (-7)^2+b\\ \\49a+b=0

So,

b=-49a\\ \\9=9a-49a\\ \\-40a=9\\ \\a=-\dfrac{9}{40}\\ \\b=\dfrac{441}{40}\\ \\y=-\dfrac{9}{40}x^2+\dfrac{441}{40}

For point P_2:\\

0=a\cdot (13)^2+b\\ \\169a+b=0

So,

b=-169a\\ \\9=9a-169a\\ \\-160a=9\\ \\a=-\dfrac{9}{160}\\ \\b=\dfrac{1,521}{160}\\ \\y=-\dfrac{9}{160}x^2+\dfrac{1,521}{160}

5 0
3 years ago
Please help:( Find the average rate of change of f(x)=x² - 4x+1 from x=3 to x=6.
LuckyWell [14K]

Answer:

5

Step-by-step explanation:

[6²-4(6)+1]-[3²-4(3)+1]/6-3 =5

3 0
3 years ago
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