The roots of x² - 4x = 5, in ascending order, are what?? PLEASE HELP

Answers

Answer 1

Answer:

Step-by-step explanation:

x^2 - 4x - 5 = 0

(x - 5)(x + 1) = 0

x - 5 = 0

x = 5

x + 1 = 0

x = -1

Answer 2

We want to find the roots of a quadratic equation, to do that, we will use the Bhaskara's formula.

For an equation like a*x^2 + b*x + c = 0

The solutions are given by:

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

Using that formula we will get that the solutions in ascending order are -1 and 5.

Now let's see how to get that:

We have expression: x^2 - 4x = 5

We can rewrite this as:

x^2 - 4x - 5 = 0

Now we can use the Bhaskara's formula to get:

[tex]x = \frac{-(-4) \pm \sqrt{(-4)^2 - 4*1*(-5)} }{2*1} = \frac{4 \pm6}{2*1}[/tex]

Then the two solutions are:

x = (4 + 6)/2 = 5

x = (4 - 6)/2 = -1

Then the solutions in ascending order are -1 and 5.

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Related Questions

when you went to bed the temperature was -5.5 it fell 3.4 degrees overnight what is the temperature now

Answers

Answer:

-2.1

Step-by-step explanation:

3.4 minus -5.5

Evaluate the function, f(x) = 3x + 1, for f -2/3

3
7
-1
-5/9

Answers

Answer:

To find the inverse, interchange the variables and solve for

Find the inverse and subtract

Please help I don’t understand

Answers

Answer:

y = -2x+4

Exp:

Slope (m) =

ΔY

ΔX

=

-2

1

= -2

θ =

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 2 – 1 = 1

ΔY = 0 – 2 = -2

Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998

Equation of the line:

y = -2x + 4

When x=0, y = 4

When y=0, x = 2

Which transformation can be used to accomplish this?
A. Dilation
B. Rotation
C. Reflection
D. Translation

Answers

Reflection over y-axis

Solve for q.
HEELLPP

Answers

The answer is 9 I have also included the rough work I hope it helps
the answer is 9

3q+15q+18=180
18q+18=180
18q=162
q=9
hope this helped

Which linear function has the same slope as the one that is represented by the table? x y Negative one-half One-fifth Negative one-fifth StartFraction 7 Over 50 EndFraction One-fifth StartFraction 3 Over 50 EndFraction One-half 0 y = negative one-half x + StartFraction 1 Over 10 EndFraction y = negative one-fifth x + one-half y = one-fifth x minus one-half y = one-half x minus StartFraction 1 Over 10 EndFraction

Answers

Answer:

B

Step-by-step explanation:

hope this helps

Answer:

B.

Step-by-step explanation:

Minute Math 10

Please help me.

Answers

Answer:

Step-by-step explanation:

1. False

2. True

3. False

4. 12/2, 8/8, 2^2

5. 0.375

6. Through the middle vertically

7. a

sometime outiers can have a significant effect on statistics and sometime they don't . Use the following distribution to determine which statistics are affected by outliers. Round to the nearest hundredth.

Answers

What is the test name?

Which of the following number is between 5 and 10 on a number line
[tex] \sqrt{44} [/tex]
[tex] \sqrt{38} [/tex]
[tex] \sqrt{21} [/tex]
[tex] \sqrt{6} [/tex]
[tex] - \sqrt{59} [/tex]
[tex] - \sqrt{8} [/tex]

Answers

There are 3 of them
The first, second, and fifth one

Answer:

first second and fifth are the answers

what is b when b^2=46

Answers

Answer:

b^2 = 46

b = √46 (or 6.78 rounded)

Answer:

b≈6.78

Step-by-step explanation:

Just punch in your calculator the square root of 46.

[tex]\sqrt{46} =b[/tex]

b≈6.78

PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!

Answers

Answer: This can help you step by step

Step-by-step explanation:

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!

Answers

Answer:

$1.30

Step-by-step explanation

yup its 100% sure

can u  brainliest i really need it

:) <3

Find the area of the isosceles triangle
Slope: 13cm
Base: 10cm

Answers

Answer:

65

Step-by-step explanation:

A=hbb

2=13·10

2=65

Use deductive reasoning to show that the two triangles are congruent. given that fab is congruent to ged and c is the midpoint of ae prove that abc is congruent to edc

Answers

Answer:

ΔABC is congruent to ΔEDC by the Angle-Side-Angle congruency rule

Step-by-step explanation:

The

Statement                   [tex]{}[/tex]                                    Reason

∠FAB ≅ ∠GED                   [tex]{}[/tex]                             Given

C = Midpoint of [tex]\overline {AE}[/tex]                     [tex]{}[/tex]                    Given

∠BAC and ∠FAB are supplementary             Angles on a straight line

∠DEC and ∠GED are supplementary             Angles on a straight line

∠BAC ≅ ∠DEC                     [tex]{}[/tex]                            Transitive property

[tex]\overline {AC}[/tex] ≅ [tex]\overline {CE}[/tex]                    [tex]{}[/tex]                                       Definition of midpoint

ΔABC ≅ ΔEDC                     [tex]{}[/tex]                             ASA congruency rule  

Where two angles and an included side of one triangle is congruent to the corresponding two angles and an included side of another triangle, both triangles are congruent.     [tex]{}[/tex]                              

The quotation of 3÷3/4=?
A. 3
B. 4
C. 9
D. 12

Answers

Answer: B. 4

Hope this helps you!

Anyone want to help me with math
Solve 1−2/5 < 5x+2/5−4x

Answers

Answer:x > 1/5

Step-by-step explanation:

Anyone know how to do??

Answers

Answer:

30°

Step-by-step explanation:

Step 1:

2x + 10 + 4x + 80 = 180     Sum of a line

Step 2:

6x + 90 = 180      Combine Like Terms

Step 3:

6x = 90     Subtract 90 on both sides

Answer:

x = 30°       Divide

Hope This Helps :)

What is the product of (-6)(-7)(-1)?
042
O-14
O 14
O 42

Answers

If your asking what -6 multiplied by -7 multiplied by -1 it’s -42 otherwise I am un sure.

Answer:

-42

Step-by-step explanation:

(-6)(-7)(-1)

42(-1)

-42

Naomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet.
Claire paints 4 square feet per hour and has already painted 7.5 square feet.
How many more hours will it take for Naomi and Claire to paint an equal total number of square feet?

Answers

Answer:

4 hours

Step-by-step explanation:

16.5+x2

7.5+x4

16.5+2=17.5+2=19.5+2=21.5+2=23.5

7.5+4=11.5+4=15.5+4=19.5+4=23.5

Solve each system by using substitution
X= Y - 2 4X + Y = 2

Answers

Answer:

10

Step-by-step explanation:

Answer:

(0, 2 )

Step-by-step explanation:

Given the 2 equations

x = y - 2 → (1)

4x + y = 2 → (2)

Substitute x = y - 2 into (2)

4(y - 2) + y = 2

4y - 8 + y = 2

5y - 8 = 2 ( add 8 to both sides )

5y = 10 ( divide both sides by 5 )

y = 2

Substitute y = 2 into (1) for corresponding value of x

x = 2 - 2 = 0

Solution is (0, 2 )

Which situation requires the use of the cube root?
A. Determine the surface area of a cube given the side
B. Determine the volume of a cube given the side
C. Determine the side of the cube given the volume
D. Determine the volume of a sphere given the radius

Answers

Answer:

C

Step-by-step explanation:

Mathematically, the volume of a cube of side L is given as;

V = L^3

Now, given V and we want to find L, what we shall simply do is to find the cube root of both sides

By finding the cube roots of both sides, we can easily get the value of the side of the cube in question

Communities A,B and C are faced with acute water problem. The distance between communities A and B is 5km and that of A and C 7km. The angle between path AB and AC is 45degrees. If a well is dug for the three communities such that it would have equal distance to the path linking each communities. (a) Indicate by a way of sketching the exact place to dig the well? (b) Measure the distance between communities B and C?

Answers

Answer:

a) by finding the incentre

b) 5 km

Step-by-step explanation:

Let the communities A, B and C be shown by the three points of the triangle as shown in the figure below. As the angle between the path Ab and Ac is 45 degrees this is an isosceles triangle having two angles equal. As this is an isosceles triangle it must also have two sides equal .

a) the in center   point can be used to  have equal distance to the path linking each communities.

We take a compass and draw arcs on the two sides of the vertex and placing the compass on the arcs bisect each angle made by the triangles arms.

Joining the bisectors the lines meet at a point which is highlighted by a circle in the diagram.

This is the incentre which is equidistant from each vertex.

b) Using Pythagorus theorem

c² = a² + b²

7²= 5² + b²

b²= 24

b= 4.89= 5 km

The path between B and C is also 5 km.

Kenny had a total of 140 minutes to read, do homework, and play video games. he spent x minutes reading. he spent 2(x + 5) minutes doing homework and he spent 25 minutes playing video games. How many minutes did Kenny spent reading?

Answers

Answer:

35 min

Step-by-step explanation:

given that the total time spent is 140min

and that the time spent reading is x minutes

and also that the time spent doing home work is 2(x+5)

the time spent playing video game is 25

the expression for the total time is given as

total = reading +homework +video game

140=x+2(x+5)+25

solving for x we have

140=x+2x+10+25

140=3x+35

140-35=3x

105=3x

x=105/3

x=35

kenny spent 35 min reading

Time spend for reading is 35 minutes

Given that;

Total number of minutes Kenny have = 140 minutes

Time spend for reading = x

Time spend for homework = 2(x + 5) = 2x + 10

Time spend for games = 25 minutes

Find:

Time spend for reading

Computation:

Total number of minutes Kenny have = Time spend for reading + Time spend for homework + Time spend for games

140 = x + 2x + 10 + 25

3x + 35 = 140

3x = 105

x = 105 / 3

x = 35

So,

Time spend for reading = 35 minutes

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https://brainly.com/question/23129403?referrer=searchResults

When do you use a Vertex Form y=a(x – h)2 + k ? What information do you get from a Vertex Form?

Answers

Answer:

The vertex

Step-by-step explanation:

Vertex form shows you the vertex of a quadratic equation.

the y coordinate of the point is determined by k.

the x coordinate is determined by:

(x-h)=0

x-h=0

+h    +h

x=h

solve the equation. x^2+49=0
a.) no real solution.
b.) x= 7
c.) x= -7
d.) x= -7 and x= 7

Answers

Answer:

C

Step-by-step explanation:

-7 squared is -49, -49 plus 49 is 0.

(-7)^2=49 and 7^2=49
No matter what you plug in for x, squaring it will make it come back positive. Therefore it will be impossible to get -49+49=0. So there is no solution.

a) no real solution

Could someone help me out pls? I’m taking a test and I’d love help on this thanks <3

Answers

Answer:

AC = DE

Step-by-step explanation:

3x - 9(x-2) = 18x + 30

Answers

Exact form
X= -1/2
Decimal form
X=-0.5
Pls mark me brainliest

Sum of twice a number and 15 is greater than 3

Answers

2x + 15 = 3

2x+15= sum of twice a number and 15

=3 = Greater than 3

The number with the algebraic sum of its double and 15 is greater than 3 is described by; x > -6

From the question given;

The Sum of twice a number and 15 is greater than 3.

In essence;

Let the number in discuss be; x so the we have;

2x + 15 > 3

By solving;

2x > 3 -15

2x > -12

x > -6.

Read more on inequalities;

https://brainly.com/question/14361489

The longer leg of the right triangle is 8 more than the shorter leg. The hypotonuse is 8 more than the longer leg. FInd all 3 sides

Answers

Answer:

4[tex]\sqrt{13}[/tex]

4[tex]\sqrt{13}[/tex] + 8

4[tex]\sqrt{13}[/tex] + 16

Step-by-step explanation:

as per the given information:

shorter leg = x

longer leg = x + 8

hypotonuse = x + 8 + 8

remember the Pythagorean theorem, which states

x^2 + y^2 = n^2

where x and y are the legs and n is the hypotenuse

so now one can set up an equation:

x^2 + ( x + 8 )^2 = ( x + 16 ) ^2

simplify and solve using inverse operations:

first preform the square

x^2 + x^2 + 16x + 64 = x^2 + 32x + 256

then preform inverse opertations and simplify

2x^2 + 16x + 64 = x^2 + 32x + 256

-x^2                       -x^2

x^2 + 16x + 64 = 32x + 256

       -16x            -16x

x^2 + 64 = 16x + 256

       - 64             -64

x^2 = 16x + 192

-16x     -16x

x^2 - 16 = 192

x^2 -4^2 = 192

remember the differnt ways of writing a special square

(x - 4) (x + 4) = 192

x = 4[tex]\sqrt{13}[/tex]

now add 8 to find the longer leg

4[tex]\sqrt{13}[/tex] + 8

an add another 8 to find the hypotenuse

4[tex]\sqrt{13}[/tex] + 8 + 8

4[tex]\sqrt{13}[/tex] + 16

Which of the following is arranged in the correct order?
A. |31| > |-41| > |-3| > |5|
B. |-41| > |31| > |5| > |-3|
C. |-41| > |31| > |-3| > |5|
D. |31| > |5| > |-3| > |-41|

Answers

Answer:

it's B.

Step-by-step explanation:

41>31>5>3

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