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NARA [144]
2 years ago
7

Write the equation of a line that goes through point (0, −8) and has a slope of 0.

Mathematics
2 answers:
babunello [35]2 years ago
4 0

Answer:

y = - 8

Step-by-step explanation:

A line with a slope of 0 is a horizontal line parallel to the x- axis with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (0, - 8 ) with y- coordinate - 8 , then

y = - 8 ← equation of line

liberstina [14]2 years ago
3 0

Answer: y = -8

Step-by-step explanation:

Lines that have a slope of Zero means that the line is horizontal and y is always the same. So your equation is y = -8

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Answer:

D. 140

Step-by-step explanation:

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If a triangle has sides of length 8 cm and 14 cm, what are the possible lengths of the third side?​
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Answer:

√260 and √132

Step-by-step explanation:

use pythagoreans theorem and you can replace a and b or a and c

8^2+14^2=x^2

64+196=x^2

260=x^2

x=√260

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64+x^2=196

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Let F(x) = x^2 – 15 and <br> G(x)= 4 - x<br> Find (F/G)(–7) =
KATRIN_1 [288]

Answer:

\displaystyle \bigg( \frac{F}{G} \bigg)(-7) = \frac{34}{11}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Functions
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

F(x) = x² - 15

G(x) = 4 - x

<u>Step 2: Find</u>

  1. Substitute in functions:                                                                                     \displaystyle \bigg( \frac{F}{G} \bigg)(x) = \frac{x^2 - 15}{4 - x}

<u>Step 3: Evaluate</u>

  1. Substitute in <em>x</em> [Function (F/G)(x)]:                                                                    \displaystyle \bigg( \frac{F}{G} \bigg)(-7) = \frac{(-7)^2 - 15}{4 - (-7)}
  2. Exponents:                                                                                                         \displaystyle \bigg( \frac{F}{G} \bigg)(-7) = \frac{49 - 15}{4 - (-7)}
  3. Subtract:                                                                                                            \displaystyle \bigg( \frac{F}{G} \bigg)(-7) = \frac{34}{11}
8 0
3 years ago
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lozanna [386]
Is that go math? So i can check
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A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati
I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

\frac{dT}{dt}=k*(T_r-T)

If we rearrange and integrate

\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}

We know that at time 0, the temperature of the drink was 52°F. Then we have:

T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20

We also know that at t=2, T=55°F

T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

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