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2 years ago

(5,9), (5-3) what is the slope?

Mathematics

1 answer:

monitta2 years ago

5 0

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When you want to find out what the slope is, you have to remember what the formula is first....

$m=\frac{y}{x} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

so in this case -3 would be the $y_{2}$ because it's the y in the ordered pair and it's the second one. Then one of the 5's would be $x_{2}$ and 9 would be $y_{1}$ and then the other 5 would be $x_{1}$ .

now if we plug it in

$\frac{-3-9}{5-5} =\frac{-12}{0}$

now we can tell that we can't divide by zero so the slope would be unidentified and that's it.

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How do you simplify cscx*secx-tanx?

kenny6666 [7]

Csc x · sec x - tan x =
= 1 / sin x · 1 / cos x - sin x / cos x =
= 1 / sinx cos x - sin² x / sin x cos x =
= ( 1 - sin² x ) / (sin x cos x) =
= cos² x / ( sin x cos x ) =
= cos x / sin x = cot x

5 0

3 years ago

Are these triangles similar? if so, what postulate or theorem justifies that they are similar?

Karo-lina-s [1.5K]

Answer:

Yes The triangles are similar by SAS Similarity Theorem

Step-by-step explanation:

we know that

<u>Side-Angle-Side Similarity,</u> states that If an angle of a triangle is congruent to an angle of another triangle and if the included sides of these angles are proportional, then the two triangles are similar

In this problem

Angle L is congruent with Angle Z

Verify if the included sides are proportional

$\frac{LJ}{ZY}=\frac{KL}{XZ}$

substitute the values

$\frac{3}{1.5}=\frac{4}{2}$

$2=2$ -----> is true

therefore

The triangles are similar by SAS

7 0

3 years ago

Two consecutive integers have a product of 132.Find the integers

maksim [4K]

The difference between consecutive integers is 1.
Let x = smaller integer.
Then x + 1 is the next greater consecutive integer.

x(x + 1) = 132

x^2 + x - 132 = 0

(x + 12)(x - 11) = 0

x + 12 = 0 or x + 11 = 0

x = -12 or x = -11

Since x is the smaller of the two integers, the answers are:
-12, -11
11, 12
There are two pairs of such integers.

7 0

2 years ago

You have agreed to loan some money to a friend at a simple interest rate of 180% which is outrageous but still about half of the

choli [55]

Answer:

the amount borrowed is ≅ $527

Step-by-step explanation:

Given that;

simple interest rate r = 180% p.a

Let the amount borrowed (principal) be $x.

time t = 4 weeks = 28 days

= 28/365 year

= 0.0767 year

we all know that :

$Simple \ \ interest = \dfrac{P*r*t}{100}$

$Simple \ \ interest = \dfrac{x*180*0.0767}{100}$

Simple interest = 0.13806x

Total amount to be paid after 4 weeks= Interest+Principal

= x + 0.13806x

= 1.13806x

Thus;

1.13806x = $600

x = $600/ 1.13806

x = $527.21

Hence; the amount borrowed is ≅ $527

3 0

3 years ago

What is ¨0.83% of n is 18.26¨ (just tell me the value of n)

jolli1 [7]

Answer:

'Percent (%)' means 'out of one hundred':

0.83% = 0.83 'out of one hundred',

p% is read p 'percent',

0.83% = 0.83/100 = 0.83 ÷ 100

Calculate percentage:

'Percentage' is obtained by multiplying 2,200 by 0.83%

0.83% × 2,200 =

(0.83 ÷ 100) × 2,200 =

(0.83 × 2,200) ÷ 100 =

1,826 ÷ 100 =

18.26

Step-by-step explanation:

Hope it is helpful....

5 0

2 years ago