Find the sum of the roots of the quadratic x^2 + 7x - 13 = 0

Answers

Answer 1

Answer:

-7

Step-by-step explanation:

You use the quadratic formula of [tex]ax^{2} +bx+c = 0[/tex] to get:

a = 1

b = 7

c = -13

then you plug that into x= (-b ± √b²-4ac)/(2a) :

x= ( -7 ± √7²- 4(1)(-13) )/(2(1))

[tex]x=-\frac{7}{2} + \frac{\sqrt{101}}{2} \\\\x=-\frac{7}{2} - \frac{\sqrt{101}}{2}[/tex]

The sum of these two x values turns out to be:

[tex]x=-\frac{7}{2} + \frac{\sqrt{101}}{2}+( -\frac{7}{2} - \frac{\sqrt{101}}{2} )= -\frac{14}{2} = 7[/tex]


Related Questions

What is the slope of the line in the graph?

Answers

Do rise/run
Rise = 3, run = 3
The slope is 1
R-3 and S-3
um u i think

Fill in the blank with the correct response.
If 3/4 = x/18 , then x is equal to

Answers

Answer: x = 13.5

3/4 = x/18

⇔ x = 3/4 .18 = 27/2 = 13.5

Step-by-step explanation:

Answer:x = 27/2

Step-by-step explanation:

Step 1: Cross-multiply

3/4=x/18

(3)*(18)=x*(4)

54=4x

Step 2: Flip the equation.4x=54

Step 3: Divide both sides by 4x/4=54/4x

= 27/2

I hope it helps you!

Please make as brilliant!!

b/5 = 8/16

(character limit)

Answers

b is 2.5 because b/5 should be 1/2, 2b is 5, 5/2 is 2.5
2.5 i believe
16/8=2 so then 5/2=2.5

what is 5 x 83, 5 x 29 and 5 x 94


also what do you think of my oc?

Answers

Answer:

5x83 is 415. 5x29 is 145. 5x94 is 470

Step-by-step explanation:

your oc is cool

Answer:

5x83 is 415

5x29 is 145

5x94 is 470

Step-by-step explanation: that is amazing. what else have you made?

Which 2 expressions both result in decreasing by 13%

A x-0.13x and “multiply x by 0.13”
B x-0.13x and “multiply x by 0.87”
C x-0.87x and “multiply x by 0.13”
D x-0.87x and “multiply x by 0.87”

Answers

A and B should be it

Answer:

Step-by-step explanation:

Triangle BAM is shown along with its image ΔB′A′M′ on the coordinate plane.
Coordinates:
B: 1, -4 B': -1, -4
A: 4, 12 A': -4, -2
M: 2, 5 M': -2, 5

Write a verbal description of the reflection and describe the reflection using symbolic representation.

Answers

Answer:

The reflection is and classic reflection across the y-axis as the y stay the same and the x does not.

I wish I could help u with this one

I need help with this 2 step equation word problem. I don't need to answer it, I just need to get the equation.
You paid extra for four pizzas that each cost the same price and this included the delivery charge of $3.00.

Answers

So it would be 4x (x meaning the price of each pizza) + 3 for the delivery charge. The equation is 4x + 3. That would be the price of all pizzas plus delivery charge :)

Will mark Brainlist!

Answers

Answer:

4,880

Step-by-step explanation:

33.2% x 14,700 = 4880 employes

Answer:

4,880

Step-by-step explanation:

33.2% x 14,700 = 4880 employees

Two parallel lines, a and b, are cut by transversal p. What is the measure of triangle x​

Answers

Answer:

b will be the right answer

I am sure

Answer:

75

Step-by-step explanation:

HELPPPPPP ASAP I REALLY NEED HELP 20points

Answers

Answer:

[tex]x^2y^{11} / 16[/tex]

Step-by-step explanation:

Hope this helped!

The answer would be x^2y^11/16.

If you need more answers like these, you can try out M a t h w a y. It is really helpful for algebra.

Hope you have a wonderful day✨❤️

The rectangle and the trapezoid have the same area. What is the length l of the rectangle?



l=
ft

Answers

The nacer is 66 or67 not that shere

The length 'l' of the rectangle will be;

⇒ l = 18 feet

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The rectangle and the trapezoid have the same area.

Now,

Since, The rectangle and the trapezoid have the same area.

Hence, We get;

Area of rectangle = l × 9

And, Area of trapezoid = 1/2 (24 + 12 ) × 9

                                   = 1/2 × 36 × 9

                                   = 18 × 9

                                   = 162

So, We get;

⇒ l × 9 = 162

⇒ l = 162/9

⇒ l = 18 feet

Thus, The length 'l' of the rectangle will be;

⇒ l = 18 feet

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ2

Solve the equation 5,4g+10=2.4g+25. a. Find the value of g. b. Explain how you can check that the value you found for g is correct. If your check does not​ work, does that mean that your result is​ incorrect? Explain.

Answers

Answer:

G=5

Step-by-step explanation:

Input the answer into the formula. If it is correct then its correct but if it doesn't work it is incorrect

Free points?????????????????????

which one is right i need help

Answers

The answer is A.

Hope that helps!

Answer:

C

Step-by-step explanation:

In answer C as X increases so does Y.

X increased by the value of 3.

Y also increases by the value of 3.

If this is correct may I please have brainliest? I would appreciate it a lot.

Thank you and good luck on your studies.

Help Please this is hard

Answers

Answer:

1) D=1/4C

2) 4D=C its positive because it is above the sea

Step-by-step explanation:

wich inequality is true?

Answers

Answer:

Step-by-step explanation:

just put them into percents lol

50% < 33.33% not true

75% > 66.66% true

-25% < -66.66% not true

-100% > 75% not true

so the second one is true

hope this helps <3

I believe it is the second one. It would be the only one that would make sense! Hope I helped!

write the equation of a direct variation that passes through the point (-11, 13)

Answers

Answer:

11 13

Step-by-step explanation:

The answer to your question is 11,13

this is a question for someone SPECIFIC
(9x8) + 4(3x7) =

Answers

Answer:

156

Step-by-step explanation:

9x8=72

3x7=21

21x4=84

72+84=156

What is the slope of the line?

Answers

Answer:

The slope is 2/1

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

First thing you should notice first is that the line is going up to the left, that means that the slope will be negetave. Then, follow the rise over run method. Start at any point on the line, im going to use (0,1). go up 2 and over 1. You get -2/1 aka -2. I hope this helps!

The volume of a sphere is V = 4/3πr³ and the relationship between

the radius r and the diameter d is r = d/2.

Find the volume of the sphere in terms of the diameter d and simplify the expressions.

b. What is the volume of the sphere when the diameter is 2/3 centimeter?

Answers

jdjdjdj sorry that wasn’t helpful)))
U need to include what the radius is then i can tell u what the volume is

I have been stuck on this and I just can't remember what to do

Answers

Answer:

angle JKL= 54 degrees

Step-by-step explanation:

look they are congruent

(2x+5)=(3x-6)

x=11

then plug in

2x+5

2(11)+5

=27

then

3x-6

(3)(11)−6

=27

Both are congruuent

27+27=54

the answer is 54 because if you complete 2x+5=3x-6, x=11 which makes 2(11)+5, which equals 22+5=27, and 27+27 is 54

What is the prime factorization of 144? Be sure to show your strategy.

Answers

Answer:

So, the prime factors are written as 2 x 2 x 2 x 2 × 3 x 3 or 24 x 32, where 2 and 3 are the prime numbers. It is possible to find the exact number of factors of a number 144 with the help of prime factorisation. The prime factor of the 144 is 24 x 32. The exponents in the prime factorisation are 4 and 2.

Step-by-step explanation:

lol so It's the same question but I typed it wrong now it gave me another completely different question :,)

Answers

this is a sign to ask your teacher for help

Answer:

2.05

Step-by-step explanation:

plls give brainliest

Katya cut part of the jump rope off to make it shorter. The new length is 8 and StartFraction 1 over 6 EndFraction feet. The difference between the original length and the new length is StartFraction 5 over 6 EndFraction foot. The equation x minus 8 and StartFraction 1 over 6 EndFraction = StartFraction 5 over 6 EndFraction can be used to represent this problem, where x is the original length of the rope. What was the original length of the rope?

7 and one-thirdfeet
8 and two-thirdsfeet
9 feet
10 feet

Answers

Answer:

9 feet it is right

Step-by-step explanation:

HELP PLEASE! THIS IS FOR TURN IN TODAY!

Look at the photo

Answers

Answer:

1. 2.3

2. 6.1

Step-by-step explanation:

Answer:

1. 2.3  2. 6.1

Step-by-step explanation:

hey its Eve hoped this helped have a great day! and consider marking this as brainliest if you do thank you in advanced!!

Which number has only two factors?




A 21
B 27
C 25
D 23


please help-

Answers

Answer:

23

Step-by-step explanation:

rewrite the numbers in order from least
to greatest. 0.33, -0.12, -0.127, 0.2, 45

Answers

Answer: -0.127, -0.12, 0.33, 0.2, 45

Step-by-step explanation: yes that it it the farther the number in negatives the less amount of value

-0127,-0.12, 0.2,0.33, (I think but am pretty sure)

What is the slope of the line graphed below?

A) -3/2
B) 3/2
C) -4
D) 4/3

Answers

Answer:

B) 3/2

Step-by-step explanation:

5/-6

X1= 5

Y1=-6

X2=0

Y2=-4

y1-y2

-------

x1-x2

6 - (-4)= 10

5 - 0   =  5

10/5=2

will the defenders be able to reach the ball carrier explain why or why not plz

Answers

Answer:

if your going based off of the  path that they are taking i say yes because the will meet at the end point or in this case the 1 yard line

Step-by-step explanation:

please help! thanks :)

Answers

The correct answer is A.

3x/2 - x = x/10 - 6/5

Answers

Answer:  -3

X  =  -3        

Step-by-step explanation:

Multiply the numbers i hope this helps god bless

Answer:

= -3

consider marking me brainiest

Step-by-step explanation:

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