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kramer
2 years ago
9

Find the slope of the line passing through the points (-3, 7) and (2, -6)

Mathematics
1 answer:
Sliva [168]2 years ago
4 0

Answer:

The slope of the line passing through the points (-3, 7) and (2, -6) is -13/5.

Step-by-step explanation:

Use the slope formula to find the slope of the line based on two points.

m = y₂ - y₁/x₂ - x₁

Substitute the values

m = -6 - 7/2 - (-3)

Simplify.

m = -13/5

The slope of this line is -13/5.

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It takes Wayne 1/3 hour to walk 1/6 mile. What is Wayne's unit rate, in miles per hour?
goblinko [34]
It takes wayne 3.2 units 
4 0
3 years ago
Read 2 more answers
Write a vector equation of the line that passes through point P(-4,11) and is parallel to a=[-3,8]. Then write parametric equati
Assoli18 [71]

Answer:

\vec l = (-4, 11) + t\cdot (-3,8), x = -4 - 3\cdot t and y = 11 + 8\cdot t

Step-by-step explanation:

The vector equation of the line is:

\vec l = \vec P + t \cdot \vec A

\vec l = (-4, 11) + t\cdot (-3,8)

The parametric equations of the line are:

x = -4 - 3\cdot t and y = 11 + 8\cdot t

4 0
3 years ago
The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?
adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)

\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t  \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}

$$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$$

3 0
2 years ago
Kameron has a bag of candy that contains 8 grape candies, 5 cherry candies, 3 lemon candies, and 6 lime candies. What is the pro
Aleks04 [339]

Answer:

8/21

Step-by-step explanation:

add up all the candies no matter what flavor

8+5+2+6=21

there are 8 grape candies

8/21

7 0
2 years ago
Read 2 more answers
The sum S of the first n integers is given by the formula S=1/2n(n+1). How many integers must be taken to have a sum of
statuscvo [17]

Answer:

25

Step-by-step explanation:

We require to solve for n, hence

\frac{1}{2} n(n + 1) = 325

multiply both sides by 2 to eliminate the fraction

n(n + 1) = 650

n² + n = 650

subtract 650 from both sides to have equation in standard form

n² + n - 650 = 0 ← in standard form

(n + 26)(n - 25) = 0 ← in factored form

equate each factor to zero and solve for n

n + 26 = 0 ⇒ n = - 26

n - 25 = 0 ⇒ n = 25

however, n > 0 ⇒ n = 25


5 0
3 years ago
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