Which set of integers is not a pythagorean triple?

Write an equation of the line that passes through the given points.

Ratling [72]

$(\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\\\\\\% slope = m\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{run}{\underset{x_2}{4}-\underset{x_1}{(-1)}}}\implies \cfrac{-5}{4+1}\implies \cfrac{-5}{5}\implies -1$

$\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-1)}]\\\\\\y-4=-1(x+1)\implies y-4=-x-1\implies \blacktriangleright y = -x+3 \blacktriangleleft$

4 0

2 years ago

If someone could help me out :)

VladimirAG [237]

Answer: 2

Step-by-step explanation: 2/4 = 1/2

8 0

2 years ago

What is the equation of the line that has a slope of 13 and goes through the point (6,−2)?

dybincka [34]

Answer:

{Or, if you mean slope of 1/3: y = ¹/₃x - 4 }

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = 13

(6, -2) ⇒ x₀ = 6, y₀ = -2

The point-slope form of the equation:

y + 2 = 13(x - 6)

So:

y + 2 = 13x - 78 {subtract 2 from both sides}

y = 13x - 80 ← the slope-intercept form of the equation

{Or, if you mean slope of ¹/₃: m = ¹/₃

The point-slope form of the equation: y + 2 = ¹/₃(x - 6)

y + 2 = ¹/₃x - 2 {subtract 2 from both sides}

y = ¹/₃x - 4 ← the slope-intercept form of the equation}

5 0

2 years ago

You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the exper

mrs_skeptik [129]

Each question has four choices, then the probability to guess a correct answer is $p= \frac{1}{4}$ and the probability to select incorrect choice is $q=1-p=1- \frac{1}{4} = \frac{3}{4}$ .

You have a 5-question multiple-choice test, then n=5. The <span>probability that you will guess exactly three out of five questions correctly is </span>
<span /><span>
</span><span> $C_n^kp^nq^{n-k}=C_5^3p^3q^{5-3}= \dfrac{5!}{3!\cdot 2!} \left( \dfrac{1}{4} \right)^3\left( \dfrac{3}{4} \right)^2=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot 1\cdot 2} \cdot \dfrac{9}{1024} =$ </span>
$= \dfrac{90}{1024} = \dfrac{45}{512}$ .
<span />

6 0

3 years ago

Read 2 more answers

Jessie works at a car manufacturing plant. One day she installed a total of 46 axles, 2 in each car she worked on. She wants to

shtirl [24]

Answer:

Step-by-step explanation:

total number of cars: x

the total number of axles: 46

and the number of axles installed per car: 2

2 axles in each car, then total instaled axles: 2•x

2•x = 46

x = 46÷2

x = 23

5 0

3 years ago