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2 years ago

What is the slope of the line passing through -4,6 and 3,-8

Mathematics

2 answers:

gulaghasi [49]2 years ago

8 0

Answer:

-2

Step-by-step explanation:

zubka84 [21]2 years ago

3 0

Answer:

$slope=-2$

Step-by-step explanation:

Use the slope formula:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}$

The slope is the change from one point to another on a single line. This change is written as the change in y-axis over the change in the x-axis, or rise over run. Insert the appropriate values:

$(-4,6)(3,-8)\\(-4_{x_{1}},6_{y_{1}})\\(3_{x_{2}},-8_{y_{1}})\\\\\frac{-8-6}{3-(-4)}$

Simplify parentheses:

$\frac{-8-6}{3+4}$

Solve:

$\frac{-14}{7}=-\frac{14}{7}=-\frac{2}{1} =-2$

The slope is -2.

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Consider three events A, B and C with following properties.

lisov135 [29]

By the inclusion/exclusion principle,

$\mathbb P(D)=\mathbb P(A\cup B\cup C)$
$\mathbb P(D)=\mathbb P(A)+\mathbb P(B)+\mathbb P(C)-\bigg(\mathbb P(A\cap B)+\mathbb P(A\cap C)+\mathbb P(B\cap C)\bigg)+\mathbb P(A\cap B\cap C)$
$\mathbb P(D)=\dfrac14+\dfrac16+\dfrac14-\dfrac39+\dfrac1{13}$
$\mathbb P(D)=\dfrac{16}{39}\neq1$

So the union of A, B, and C does not constitute the entire sample space.

5 0

3 years ago

The perimeter of a stop sign is 99.2 inches. Each side of the stop sign is equal.

san4es73 [151]

Answer: The equation can be written as 8n = 99.2.

Step-by-step explanation:

In my answer, I used the variable n to distinguish itself as one side of the stop sign. 99.2 is the final perimeter in inches.

A stop sign is an octagonal shape (otherwise, it is made up of 8 equal sides). Therefore, with this information, you can interpret that the length of one side would be equal to the length of all of the other sides.

Hence, the answer can be represented as 8n = 99.2.

6 0

2 years ago

Of the 84 people who answered "yes" to a question, 14 were male. Of the 73 people that answered "no" to the question, 12 were ma

pantera1 [17]

Answer:

.611

Step-by-step explanation:

there were 84 people who answered yes plus an additional 12 men who said no. Add these up and you get 96. Divide that number by the number of people which is 157 and you get .611 rounded up.

4 0

2 years ago

Read 2 more answers

Please help, basic algebra. Find the value of x

Helga [31]

Answer: x = 131

Reasoning: Alternate interior angle theorem

The angles shown are inside the parallel lines, so they are interior angles. They are also considered alternate angles because they are on alternating sides of the transversal cut. Alternate interior angles are congruent when we have parallel lines like this.

7 0

2 years ago

Sita and Radha purchased a car for rupees 320000 due to some economic problem they sold it for 280000.find the loss incured and

musickatia [10]

Answer:

40000 and 12.5% respectively

Step-by-step explanation:

soln:

given,

cost price(c.p)=320000

selling price(s.p)=280000

loss(l),loss percentage(l%)=?

we know,

l=c.p-s.p

or,l=320000-280000

•°•l=40000

now,

l%=l/c.p*100%

or,l%=40000/320000*100%

•°•l%=12.5%

6 0

2 years ago