numbers are (-20,10) and (40,-50)​

Answer:

[tex]p_1=2+ \sqrt{5}\\p_2=2- \sqrt{5}[/tex]

Step-by-step explanation:

A second-degree equation is often expressed as:

[tex]ax^2+bx+c=0[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The equation to solve is:

[tex]p^2-4p=1[/tex]

We need to express the equation as mentioned above. The right side of the equation must be zero, so we subtract 1:

[tex]p^2-4p-1=0[/tex]

Now we have the values to solve the equation:

a=1, b=-4, c=-1

Applying the formula:

[tex]\displaystyle p=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-1)}}{2(1)}[/tex]

[tex]\displaystyle p=\frac{4\pm \sqrt{16+4}}{2}[/tex]

[tex]\displaystyle p=\frac{4\pm \sqrt{20}}{2}[/tex]

Since 20=4*5:

[tex]\displaystyle p=\frac{4\pm \sqrt{4*5}}{2}[/tex]

Taking the square root of 4:

[tex]\displaystyle p=\frac{4\pm 2\sqrt{5}}{2}[/tex]

Simplifying by 2:

[tex]p=2\pm \sqrt{5}[/tex]

Two solutions are found:

[tex]\boxed{p_1=2+ \sqrt{5}}\\\boxed{p_2=2- \sqrt{5}}[/tex]

Answer:

?

Step-by-step explanation:

Answer:

Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.

Step-by-step explanation:

▪ Answer:

x = 9

▪ Step-by-step explanation:

Hi there !

opposite angles

4x + 2 = 7x - 25

2 + 25 = 7x - 4x

27 = 3x

x = 27 ÷ 3

x = 9

Good luck !

Answer:

x = 9

Step-by-step explanation:

opposite angles

4x + 2 = 7x - 25

2 + 25 = 7x - 4x

27 = 3x

x = 27 ÷ 3

x = 9

Answer:

no solution

Step-by-step explanation:

5x+6=7x+5-2x original equation

5x+6=7x-2x+5 apply the commutative property

5x+6=5x+5 combine like terms

6=5subtract 5x from each side

Since this is never true, there is no solution

Answer:

There's no value of x that can make the equation 5x+6=7x+5-2x true.

Step-by-step explanation:

Answer:

Step-by-step explanation:

In this problem, we first need to find the rate at which syn burns calories per minute

so in 15mins, he burns 200 calories

    in 1 mins he will burn x

x= 200/15

x=13.33 calories per min this is the rate

So in one minute he will burn 13.33 calories

Now using the idea of rate=quantity/time

the rate=13.33

quantity=15 calories

time=?

time=quantity/rate

time=150/13.33

time=11.25min

   Alternatively

(very fast approach)

         if syn spend 15min to burn 200 cal

then he will spend x min to burn 150 cal

cross multiply

x=(150*15)/200

x=2250/200

x=11.25mins

Answer:

c. 4

Step-by-step explanation:

I took it on the test and it was right. Hope this helps!

Answer:

Linear

Step-by-step explanation:

The y is increasing constantly by 5 each time. The equation that would represent this is y=5x-7 because when x is 0 y is -7, so that is your y intercept, and the m, or slope, of your graph is 5, because of the constantly increasing y.

The given  table is representing linear function. So Option B is correct.

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Given that,

A table

x   0    1    2    3    4    5  

y   -3   5   13  21   29  37

Lets us first check that data for linear relationship,

Consider a function,

y = mx + c

lets put value (0, -3)

-3  = m0 + c

c = -3

y = mx -3

Now putting second point

5 = mx1 -3

m = 8

y = 8x - 3

If third point satisfies the given condition

then it will be linear function

x = 2 & y = 13

y = 8x -3

13 = 8x2 - 3

13 = 13

hence proved

Thus, the given table represents the linear function.

To know more about Functions check:

https://brainly.com/question/5975436

#SPJ7

Answer:

A: [tex]y=3x+12[/tex]

Step-by-step explanation:

To start we need to know what makes lines perpendicular. Two perpendicular lines will have opposite-reciprocal slopes, because we know that they intersect at a right angle.

Then, we need to understand the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. We also know that [tex]x[/tex] and [tex]y[/tex] represent points on the line.

Now, since our equation is already in the correct form, we can start with finding the opposite reciprocal of the slope. To do this, all we have to do is flip the fraction upside down and multiply by -1. This means that the opposite reciprocal of [tex]-\frac{1}{3}[/tex]  would be [tex]\frac{3}{1}[/tex] which can be written as [tex]3[/tex].

Now, since we have a list of options and only one has the correct slope, we can safely choose option A.

Answer:

i think this is what u want

Step-by-step explanation:

please mark brainliest

Answer:

nvm im wrong its wat the other girl or boy said

Answer:

15= A=11138

17= A≈57.43

Step-by-step explanation:

15) A=2(wl+hl+hw)

17) A=2πrh+2πr^2

Answer:

Yes That is right. B is correct

Step-by-step explanation:

Answer:

37 is what percent of 76? = 48.68

Step-by-step explanation:

Convert fraction (ratio) 37 / 76

You would get...

0.48684210526

B is correct

Answer:

350000 * 0.06 = 21,000

Step-by-step explanation:

i think its 21,000 commission because 6% of 350000 is 21,000

Answer:

360

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

An angle can range from 0 to 360 degrees.

Answer:

yes the answer is true

Step-by-step explanation:

the length of the rectangle is given 2 m

the breadth of the rectangle is given 3 m

so the area of the rectangle = length * breadth

= 2m*3m

=6m^2

hence proved

hope you like the answer

marks brainliest

hurry up !

The area of the rectangle is [tex]6m^2.[/tex]

Given that,

Now as we know that

The area of the rectangle is

[tex]= length \times breadth\\\\= 2 \times 3\\= 6m^2[/tex]

Therefore we can conclude that The area of the rectangle is [tex]6m^2.[/tex]

Learn more about the rectangle here: brainly.com/question/16167300

Answer:

0.1754

Step-by-step explanation:

Use a calculator

Answer:

5.70 hope that helped :)

Answer:

Step-by-step explanation:

A store has a 20% sale on everything.

So since you are saving 20%, you will only be paying 80% of the original price.

To find the sale price use the following formula:

Sale price = 80% x original price

They told us the original price = 350 AED

This means:

Sale price = 80% x 350

I think it would be easiest to change 80% into a fraction if you don't have a calculator :)

80% = [tex]\frac{80}{100} = \frac{4}{5}[/tex]

This means that the

Sale Price= [tex]\frac{4}{5}[/tex] x 350 = 280 AED

Answer:

The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.

Step-by-step explanation:

We have the graph of f(x).

In general, remember these points:

For even-degree functions:

And for odd-degree functions:

P.S. Yes, it's a lot. But grasping these concepts will help you greatly in future mathematics!

Anyways, let's go back to our problem. Our graph has the same end behavior, so it must be an even function.

Moreover, both end behavior are approaching positive infinity, so the leading coefficient must be positive.

The real zeros of a function are whenever the graph touches or crosses the x-axis. We see that it happens only three times (this is circled in blue below in the image).

The relative minimum values are whenever the graph reaches its lowest point between an increasing and decreasing (or decreasing and increasing) curve. This happens twice (this is circled in black below in the image).

Note: The black arrows denote whether the graph is increasing or decreasing (down means decreasing, up means increasing).

So, you can see that our minimums will always be between a decreasing and then an increasing curve.

So, our solution is:

The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.

And we're done!

Answer:

10

Step-by-step explanation:

divide 20 by 2. so the answer is 10.

Step-by-step explanation:

The answers are 60 and 6.86

Answer:

x=7/3

Step-by-step explanation:

Answer:

Start menu- A)

Taskbar- E)

Quick Launch-D)

System tray- B)

Icons-C)

Step-by-step explanation:

Answer:

1. Icons-------->pictures that represent applications, files, or folders.

2. Quick Launch---------->list of items that can be opened by clicking on their names.

3. Start menu----------->shows  the programs that are always running.

4. System Tray---------->place where frequently used programms can be opened.

5. Taskbar--------->displays open application or files.

Step-by-step explanation:

I pretty much explained it in the answer. :)

Answer:

8.9 seconds

Step-by-step explanation:

When caroline catches sam after some time lets say t

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart.

Given

Let the time taken by Caroline to catch sam is t seconds

distance covered by Caroline in t seconds = speed of caroline*t

distance covered by Caroline in t seconds = 31  * t

distance covered by Caroline in t seconds = 31t feet

distance covered by sam in t seconds = speed of sam*t

distance covered by sam in t seconds = 22  * t

distance covered by sam in t seconds = 22t feet

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart and caroline catches her in t seconds

thus,

distance covered by Caroline in t seconds  = distance covered by sam in t seconds  + 80 feet

31t = 22t + 80

subtracting 22t from both sides

=> 31t - 22 t = 80

=> 9t = 80

=>t = 80/9 = 8.9 seconds

Thus,

it will take 8.9 seconds for Caroline to catch Sam

Answer:

1 1/2 or 3/2

Step-by-step explanation:

Answer:

$21.00

Step-by-step explanation:

we can solve easly like this

if 6%=1.26

100%=?

100%*1.26/6%=126%/6%

=$21

therefore $21's 6%is $1.26.

i think the answer is clear i hope it helps you

Answer:

Step-by-step explanation: