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3 years ago

what is the distance between point (-5, -2) and point (8, -3) rounded to the nearest tenth? will appreciate all the help

1 answer:

8 0

$\text {Distance =} \sqrt{((Y_2-Y_1)^2+(X_2-X_1)^2}$

$\text {Distance =} \sqrt{((-3-(-1))^2+(8-(-5))^2}$

$\text {Distance =} \sqrt{(-1)^2+(13)^2}$

$\text {Distance =} \sqrt{(1+169}$

$\text {Distance =} \sqrt{170}$

$\text {Distance =} 13.0 \text { units}$

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What if we draw three socks from the box instead. what is the probability that we draw a matching pair? (having all three socks

frutty [35]

There is a chance of 1/16*1/15 that she gets the specific socks pair according to laws of probability and the counting principle but thats not how it will work over here.

As we should be guaranteed that she gets the number of socks she obviously must take out around 9 socks as we are taking the worst case scenario where all the socks that come out are the different ones so the ninth sock must match any of the others.

But if we draw three socks obviously the probability is 1/16*1/15*13/14 as we dont want the third one to be same. We can multiply the answer by 3 as it can be in three different orders.

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3 years ago

Solve for x<br>Please show steps thank you.

const2013 [10]

The absolute value of x is simply x and followed by the expression.

X + 1 + x + 1 <_ 2

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2 years ago

152 is 0.8% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 152, slightly less than

tatyana61 [14]

Answer:

1.22

Step-by-step explanation:

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2 years ago

Read 2 more answers

Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60

RSB [31]

Answer:

$f(x)=2x^{3}+24x^{2}+82x+60$

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

$f(x)=a(x+6)(x+5)(x+1)$

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

$60=a(0+6)(0+5)(0+1)$

$60=a(6)(5)(1)$

$60=30a$

$a=2$

$f(x)=2(x+6)(x+5)(x+1)$

Applying the distributive property

Convert to expanded form

$f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60$