Given that α and β are the roots of the equation x² + 3x + 4 = 0, what is the value of
( α + β)²

Answers

Answer 1

Answer:

9

Step-by-step explanation:

sum of roots = α + β

= -b/a

= -3/1 …………………. [b = 3, a = 1]

= -3

(α + β)² = ( -3 )² = -3 × -3 = 9

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Related Questions

A cell phone plan charges $39.95 a month plus 15 cents per text message sent and 15 cents per text message received. Using s to represent the number of text messages sent in one month and r to represent the number of text messages received in one month, the following equation can be used to calculate the total monthly cost, c:c = 39.95 + 0.15(s + r)If it is known that the total monthly cost is $53.45 and 63 text messages were received, solve for s, the total number of text messages sent.

Answers

Answer:

I think 15 times t

Step-by-step explanation:

I do not understand this. Can you please explain.​

Answers

Answer:

E

Step-by-step explanation

y^(3/5) = [tex]\sqrt[5]{y{3}}[/tex]

y^(-3/5) = 1/[tex]\sqrt[5]{y{3}}[/tex]

Can someone help me with these?

Answers

Answer:

A. 4,7,3,5,6,7,8,5,8

B. 5,4,3,8,4,6,3,8,9

Step-by-step explanation:

you're just dividing

John's Bike Shop rents bikes for $13.79 plus $4.57 per hour. Gabriella paid $45.78 to rent a bike. For how many hours did she rent the bike?

Answers

Answer:

7 hours

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

45.78 - 13.79 = 31.99

31.99 ÷ 4.57 = 7

Find the product. Enter the answer in simplest form.

Answers

Answer:

5/2 or 2.5/2 and a half

Step-by-step explanation:

Turn 5 into a fraction :

5 = 5/1

Now you can multiply the two fractions together by multiplying the numerators together and multiplying the denominators together :

1/2 x 5/1 = 5/2 or 2.5/2 and a half

hope this helps :)

jesus joseph maryian christ, what is this math problem ? 25 points

Answers

Answer:

1,075,920,000,000 km³

Evaluate p(x) = -3 + 4x when x = -2, 0, and 5.

p(-2) =
p(0) =
p(5) =

Answers

your answer is provided in the above image

What is the GCF(Greatist common factor) of 8 and 176?
Brainlist for the correct answer!

Answers

Answer:

The GCF of 18 and 176 is 2

Step-by-step explanation:

To get the Greatest Common Factor (GCF) of 18 and 176 we need to factor each value first and then we choose all the copies of factors and multiply them:

18: 2 × 3 × 3

176: 2 × 2 × 2 × 2 × 11

GCF: 2

The Greatest Common Factor (GCF) is:  2

( the greatest common factor of 8 and 176 is 8 btw if anyone wanted to know. the author meant to say " of 18 and 176 ", not "of 8 and 176"... they said it in the comments of the question :] )

What is the diameter of a sphere with a volume of 170m3

Answers

the diamter would be 6.87m

Please help me and it is not 12.
Value of

Answers

Would it be 18 if it’s not 12? I’m sorry i don’t know but i’m trying to help as much as possible

Answer:

Its 12

The correct answer is 12

the other angle also has to be 6x

6x+6x+3x=180

15x=180

x=12

Hope This Helps!!!

Daily Poll: Which helps you understand ratios better? *
Double Number Lines
O Tables

Answers

Answer:none...

Step-by-step explanation:

What number is 0.32 more than 0.19

Answers

Answer:

.61

Step-by-step explanation:

it's .51

I hoped that helped

Could you help me solve this problem

Answers

Answer:

The bottom half is the only half of the problem that is shown.

Step-by-step explanation:

I don't know YOU explain that...

Solution:
Incomplete question so no solution

I'm so confused
At the beginning of the school year, the number of students in the band was the same as the number of students in the choir. Throughout the school year, the number of students in the band decreased by 8, and the number of students in the choir decreased by 4. At the end of the school year, the number of students in the choir was 25% more than the number of students in the band. How many students were in the band at the beginning of the school year?

At the beginning of the school year, _________ students were in the band

Answers

Answer: 16............................

Answer:

16

Step-by-step explanation:

4=25%

what is the value of -6-(x+3)y when x = -5 and y = 2????

Answers

Answer:

-2

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

Substitute -5 for x and 2 for y in the expression, which gives -6 minus the quantity -5+3, all divided by 2.

Then, use the order of operations to simplify the numerator of the expression. Finally, simplify the fraction, which gives -2. So, when x equals -5 and y equals 2, the expression is equal to -2.

Find MZP. The diagram is not to scale.

Answers

Answer:

p= 50

Step-by-step explanation:

the angle that measures 130 is supplementary to the angle below, meaning the other angle must equal 50 degrees. This angle is an alternate interior angle with angle p, making them congruent.

What is the equation of the line that contains the points
(-5,0) and (0,6) ?

Answers

Answer:

y=6/5+6

Step-by-step explanation:

1 A fishbowl shaped like a sphere is filled with water. The fishbowl has a
diameter of 16 inches. Which measurement is closest to the volume of water
in the fishbowl in cubic inches?

Answers

Answer:

2145 cubic inches

Step-by-step explanation:

formula for Volume of a sphere: 4/3·π·r³

V = 4/3 ·π ·(8)³

V = 4/3π · 512

V ≈ 2145

help me someone i really need it fast

Answers

1. C
2. D

That is the answer


Find the equation of the line
passing through the points (5, 2)
and (10, 6).
y =
Xt

Answers

Answer:

y=4/5x-2

Step-by-step explanation:

here are the given points: (5,2) and (10,6)

First, let's find the slope, which is found with the equation (y2-y1)/(x2-x1)

so let's label the points

x1=5

y1=2

x2=10

y2=6

now we can substitute into the equation

m=(6-2)/(10-5)

subtract

m=4/5

so that means the slope is 4/5

Now, let's use point slope form, which is y-y1=m(x-x1) (m is the slope)

so let's substitute the numbers we know from earlier into the equation

y-2=4/5(x-5)

do distributive prop.

y-2=4/5x-4

add 2 to both sides

y=4/5x-2

hope this helps!

Solve for X and solve for Y?

Answers

Answer:

[tex] x=3\sqrt 5\\[/tex]

[tex]y = \sqrt {126}[/tex]

Step-by-step explanation:

By geometric mean property:

[tex]x = \sqrt{9 \times 5} = \sqrt{45} = 3 \sqrt{5} \\ \\ by \: pythagoras \: theorem \\ \\ {y}^{2} = {9}^{2} + {x}^{2} \\ \\ {y}^{2} = {9}^{2} + {(3 \sqrt{5}) }^{2} \\ \\ {y}^{2} = 81 + 45 \\ \\ {y}^{2} = 126 \\ \\ y = \sqrt{126} [/tex]

At the burger place, 3 mini hamburgers fit in each small to-go bag. if the baldwin family ordered 41 mini hamburgers for the trip, how many bags were used?

Answers

How man bags were used?

41 / 3 = 13.7

We can say about 14 bags by rounding to the nearest whole number. Therefore, 14 bags were used.

Answer:

14 bags

Step-by-step explanation:

10 x 3 = 30

3 x 3 = 9

3 x 1 = 3

30 + 9 + 3 = 42

You have to round because if you didn't your answer is : 13.6667

3х +4y = -10
y = -3/4x - 5/2

Answers

Answer:

y= - 3/4x - 2/5

Step-by-step explanation:

I used a calculator and got that answer

Please help! I really need help!

Answers

Answer:104 degrees

Step-by-step explanation:

Answer: F= 94

Step-by-step explanation: All the angles in a triangle = 180 we already know that one of the angle is 38 and the other is 48 so you subtract them from 180 to get 94

Find the value of x in the triangle shown below.

X=____

Please help!!

Answers

Answer:

62

Step-by-step explanation:

the sum of all angles in a triangle should be 180°

180-56= 124

124÷2= 62

x= 62

Answer:

The sum of the interior angles of a triangle is 180°.

Two sides of the triangle is same, so the their corresponding angles will also be same.

[tex]x + x + 56 = 180 \\ 2x = 180 - 56 \\ 2x = 124 \\ \boxed{x = 62°}[/tex]

62° is the right answer.

The ratio of chickens to lambs is 5:7 respectively. If the total numbers of animals is 108, how many are there? Explain.

Answers

Answer:

there are irdk

Step-by-step explanation:

How many acute angles are in the shape

Answers

Answer:

2 (A)

Step-by-step explanation:

Answer:

there are 2 acute angles

The diameter of a circle is 9.6 feet what is the area code ?

Answers

Answer:

Area = π[tex]4.8^{2}[/tex]

Step-by-step explanation:

In order to find the radius, you must divide the diameter by 2:

[tex]r = \frac{9.6}{2} = 4.8[/tex]

Area of a circle:

A = π[tex]4.8^{2}[/tex]

A = 72.38 ft^2

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=1x-8

Step-by-step explanation:

the y intercept is the b in y=mx+b

Click on the measurement that is equal to 20 liters.
A)20.000 milliliters
B)2,000 milliliters
C)2 milliliters
D)200 milliliters

Answers

Answer:

A.

Step-by-step explanation:

20000milliters = 20litres

Answer:

20 000 ml

Step-by-step explanation:

1 l = 1000 ml

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