All categories

3 years ago

Someone helps me with this serious answers only!!!

Mathematics

2 answers:

Nastasia [14]3 years ago

8 0

Slope - 3 , coordinate point (3, -4)

Equation in point slope form:
y - y1 = m(x - x1)

So
y + 4 = -3(x - 3)

Answer
B. y + 4 = -3(x - 3)

Katarina [22]3 years ago

4 0

(y-5)=(-3)(x-0)

y-5=-3x

y+3x=5 is the required equation.
but, I dont know why there is so much information in the pic. more than what is required.

You might be interested in

Can I have help with the question

sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y = $\frac{7}{9}$ x + $\frac{16}{9}$

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

$(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )$

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

$\frac{9-0}{0-7}=\frac{9}{-7}$

-> The slopes of two perpendicular lines are negative reciprocals of each other, so $\frac{7}{9}$ will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

y - 4.5 = $\frac{7}{9}$ (x-3.5)

y - 4.5 = $\frac{7}{9}$ x- $\frac{49}{18}$

y = $\frac{7}{9}$ x- $\frac{49}{18}$ + 4.5

y = $\frac{7}{9}$ x + $\frac{16}{9}$

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0

2 years ago

Use counting to determine the whole number that corresponds to the cardinality of these sets:______. (a) A= (xl x € Nand 20.<

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

Cardinality of a set is defined as number of element in a set. It is represented as n(X) where X is any set.

a) Given the set A =(x l x € N and 20.< x<27). According to the set, the set contains the values of natural numbers between 20 and 27. The values are 21, 22, 23, 24, 25 and 26

A = (21, 22, 23, 24, 25, 26)

According to the set A, it can be seen that there are 6 elements in the set, this means n(A) = 6.

b) Given B=(x | xeN and x+1=x)

Since natural numbers starts from 1, the first element in the set is 2 i.e 1+1

The elements of the set B = (2, 3, 4, 4...)

The number of whole number in the set is therefore infinite.

c) For the set C={x l xe N and (x- 1)(x - 9) = 0)

We need to get the root of the equation (x- 1)(x - 9) = 0

x-1 = 0 and x-9 = 0

x = 1 and x = 9

Hence the element C = (1,9)

The number of whole number in the set is n(C) = 2

d) D={xlx E N, H X 5 100, and x is divisible by both 5 and 8)

Given the value of x between 5 and 100, the values of x divisible by 5 = (10, 15, 20, 25, 30, 35, 40, 45, 50 , 55, 60 , 65, 70, 75, 80 85, 90, 95)

values of x divisible by 8 = (16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96)

The total number of elements in both set = 29 i.e n(D) = 29

3 0

3 years ago

Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find

gregori [183]

Answer:

$(f-g)(x)=x^2-4x-21$

Step-by-step explanation:

We are given the two functions:

$f(x)=x^2-3x-28\text{ and } g(x)=x-7$

And we want to find:

$(f-g)(x)$

This is equivalent to:

$=f(x)-g(x)$

Substitute:

$=(x^2-3x-28)-(x-7)$

Distribute:

$=x^2-3x-28-x+7$

Rearrange:

$=(x^2)+(-3x-x)+(-28+7)$

Hence:

$(f-g)(x)=x^2-4x-21$

6 0

3 years ago

The table shows the number of hours spent practicing singing each week in three samples of 10 randomly selected chorus members.

astraxan [27]

Answer:

B they are close together

Step-by-step explanation:

6 0

2 years ago

Five percent of 1/5 is equal to

blagie [28]

1/5 =

Percent = 20%

Decimal = 0.2

-StarGaze

6 0

3 years ago