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xz_007 [3.2K]
2 years ago
8

Find the slope of the line that contains (1,6) and (10, -9).

Mathematics
2 answers:
Elden [556K]2 years ago
7 0
So,

To find the slope, simply subtract the given solutions and put them in the proper form.

10 - 1 = 9
-9 - 6 = -15

Slope =  \frac{-15}{9} \ or\  \frac{-5}{3} \ or\  -\frac{5}{3}
My name is Ann [436]2 years ago
3 0
M=\frac{y1-y2}{x1-x2} = \frac{6-(-9)}{1-10}= \frac{15}{-9}=- \frac{5}{3}
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The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. Which equation models t
Elden [556K]
\bf \textit{Logarithm Cancellation Rules}
\\\\
log_a a^x = x\qquad \qquad \boxed{a^{log_a x}=x}\\\\
-------------------------------\\\\
pH=-log(H+)\qquad \stackrel{pH}{7.2}=-log(H+)\implies -7.2=log_{10}(H+)
\\\\\\
10^{-7.2}=10^{log_{10}(H+)}\implies 10^{-7.2}=H+\implies \cfrac{1}{10^{7.2}}=H+
3 0
2 years ago
Read 2 more answers
Any awnsers will give brainless
DedPeter [7]

For the first, simply plug in the value of x given (x = 2) into the equation: \left\frac{3}{4}x^2 + 5\right.|_{x=2} = \frac{3}{4}\left ( 2^2 \right )+5 = 8.

So, 8 would be your answer.

For the second, the sum of x and 2 would be expressed as x + 2. Twice this sum would be written as 2(x+2). Finally, 8 less than twice that sum would be written as 2(x+2) - 8, which would be your expression.

For the last question, the coefficient refers to the number directly in front of the variable, x. So you need only to check what the x would simplify to in each equation and look for the expression where x has no coefficient (i.e., its coefficient is 1). For Hunter, the coefficient would be 15 (5 × 3x = 15x); for Michael, the coefficient would be 11 (6x + 5x = 11x); for Nate, the coefficient would be 1 (x = 1x); and for Spencer, the coefficient would be 2 (2x = 2x). Thus, Nate's expression has a coefficient of 1 when simplified.

3 0
2 years ago
Whats the least common multiple of 18 and 42?
wlad13 [49]
The least common multiple of 18 and 42 is 126. Sorry I don't know how to explain it.
6 0
2 years ago
Find the length of CD
laiz [17]

Answer:

D

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(3, - 2) and (x₂, y₂ ) = D(7, - 8)

CD = \sqrt{(7-3)^2+(-8+2)^2}

      = \sqrt{4^2+(-6)^2}

      = \sqrt{16+36}

       = \sqrt{52} ≈ 7.2 → D

5 0
2 years ago
Read 2 more answers
The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
Paraphin [41]

Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
2 years ago
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