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finlep [7]
3 years ago
10

What is the equation of the line that passes through the point (8,−4) and has a slope of 1/2

Mathematics
1 answer:
jeka57 [31]3 years ago
6 0

Answer:

y=1/2x+8

Step-by-step explanation:

-4=1/2*8+b

-4=4+b

b=4+4

b=8

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irina1246 [14]
Vertex = (6, 5)
axis of symmetry is line x = 6
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equation using the vertex is y = -a(x - 6)^2 + 5 = -a(x^2 - 12x + 36) + 5 = -ax^2 + 12ax - 36a + 5
since the parabola passes through point (0, 0)
i.e. -36a + 5 = 0
a = 5/36 = 0.139

Therefore, the equation is y = -0.139x^2 + 12(0.139)x = -0.139x^2 + 1.667x
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4 years ago
(3squared)squared x(10cubed)squared
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3 years ago
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This is going to be hard ok here i go what is 5678,00000 x 4321,0000000
goldenfox [79]

Answer: 2.45346638e+19

Step-by-step explanation:

4 0
3 years ago
Question 6 (1 point) (01.03 LC) What is the value of 5 to the power of 4 over 5 to the power of 6? (1 point) a 1 over 25 b 1 ove
Vlad [161]

Answer:

a 1 over 25

Step-by-step explanation:

Problem Statement:

     What is the value of  \frac{5^{4} }{5 ^{6} } ?

To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them.

Exponents are used by scientists to report higher orders of a number.

Such large and often recurring expression is usually made up of a base and an exponent value.

The exponent value is the power of the base;   for example, 4³ has 4 as its base and 3 as the exponent.

Several rules guides solving an exponent, to this problem, the most applicable one is :

                            \frac{x^{a} }{x^{b} }  =  x^{(a-b)}

                           \frac{5^{4} }{5 ^{6} }   =  5^{4-6}  

                                 = 5^{-2}

                                 = \frac{1}{25}                                  

Therefore the solution is 1 over 25

7 0
3 years ago
Mr. Juarez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. Th
olga_2 [115]

Answer:

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Step-by-step explanation:

We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.

We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.

We will use simple interest formula to solve our given problem.

A=P (1+rt)

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 1% into decimal form,

1%=1/100=0.01

P=$560 and t=3

A=$560 (1+0.01(3))

A=$560 (1+0.03)

A= $560 (1.03)

A= $576.80

Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!

5 0
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