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Korvikt [17]
3 years ago
5

What is the equation in point-slope form if a line that passes through points (3,-5) and (-8,4)?

Mathematics
1 answer:
nignag [31]3 years ago
3 0

The slope-point formula:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have (3, -5) and (-8, 4).

Substitute:

m=\dfrac{4-(-5)}{-8-3}=\dfrac{9}{-11}=-\dfrac{9}{11}\\\\y-4=-\dfrac{9}{11}(x-(-8))\\\\y-4=-\dfrac{9}{11}(x+8)\to C)

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Convert 37 liters to Milliliters. Choose the words and numbers to complete the statements.
Fittoniya [83]

Answer: 37 liters= 37000milliliters

Step-by-step explanation:

Milliliters = litro/ 0.0010000

Milliliters =37/0.0010000= 37000

7 0
4 years ago
Explain why it would not make sense to approximate 256 using the binomial theorem for the binomial (20 + 5)6.
Olenka [21]

The formula for the Binomial Theorem with a power 6 is as:

(x+y)^6=x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6

Thus, if we plug in 20 for x and 5 for y, our first term itself will be 20^6=64000000 which is much greater than 256 and thus it will not make any sense to use (20+5)^6 to approximate 256 using the binomial theorem.

Also, it will not make any sense to use (20+5)6 as that has no power and we know that Binomial Theorem makes use of Power. Anyway, (20+5)6=150\neq 256.

Our best bet here would be to use the equation with power 8:

(x+y)^8=x^8+8x^7y+28x^6y^2+56x^5y^3+70x^4y^4+56x^3y^8+28x^2y^6+7xy^7+y^8

and have x=1 and y=1 which will give us

(1+1)^8=1^8+8(1)^7(1)+28(1)^6(1)^2+56(1)^5(1)^3+70(1)^4(1)^4+56(1)^3(1)^8+28(1)^2(1)^6+7(1)(1)^7+(1)^8 =256

5 0
4 years ago
Read 2 more answers
Solve four square root of six plus eight square root of four and explain whether the answer is rational or irrational.
Oksana_A [137]

Answer: 4√6 +16

Step-by-step explanation: irrational

3 0
3 years ago
What is the surface area of the cone? (radius 10in height 26in)
MArishka [77]

Answer:

C) 360pi in2

Step-by-step explanation:

Given:

radius, r= 10in

height, h=26in

surface area of the cone, T.S.A= ?

T.S.A=πrl +πr^2

         =π(10)(26) +π(10)^2

         =260π+100π

         =360π^2 !

8 0
3 years ago
Solve the inequality <img src="https://tex.z-dn.net/?f=%202%5E%7B1-x%7D-%202%5E%7Bx%2B2%7D%20%5C%20%5Ctextless%20%5C%20%207%20%2
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Hint: substitute 2^x by say 't': t = 2^x, then you'll have an inequality with a second order polynomial (2/t-4*t<7--> ...). In the end something like t^2 + a*t+b > 0, for some values of a and b, find the roots and get the intervals where it is satisfied.
5 0
3 years ago
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