Write an equation of the line that passes through the point (4, –5) with slope 2.

Mathematics

2 answers:

Slav-nsk [51]2 years ago

8 0

Answer:

y + 5 = 2(x−4)

Step-by-step explanation:

y = mx + b

-5 = 2(4) + b

-5 = 8 + b

subtract 8 on both sides

-13 = b

Jlenok [28]2 years ago

5 0

Answer:

y + 5 = 2(x−4)

Step-by-step explanation:

slope = 2

y = mx + b

-5 = 2(4) + b

-5 = 8 + b

-8 -8

------------------

-13 = b

y = 2x - 13, in other words --> y + 5 = 2(x−4)

So, y + 5 = 2(x − 4) is the equation of the line that passes through (4, -5).

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What is the product of 5.86 × 10–7 and 3.1 × 104 1. Write the expression: (5.86 × 10–7)(3.1 × 104) 2. Rearrange the expression:

Reil [10]

Answer:

The value of the exponent of the base 10 for this product is -2.

Step-by-step explanation:

$5.86\,\,10^{-7}\,\,*\,\,3.1\,\,10^4=18.166\,\,10^{-7+4}=18.166\,\,10^{-3}$

Now, in order to represent this number in scientific notation, we need to reduce the coefficient 18.166 to a coefficient larger or equal to 1 and smaller strictly than 10, by using division or multiplications by powers of 10. In order to reduce it to 1.8166, we need to divide the original 18.166 by ten so we do the following in order not to change the given number (multiply and divide by ten at the same time):

$\frac{18.166\,\,10}{10} \,10^{-3}=1.8166\,*\,10\,*\,10^{-3}=1.8166\,\,10^{-2}$