can you prove that:
a² + b² ≥ -2ab ?​

Answers

Answer 1

Answer:1a+1b> -2ab

Step-by-step explanation:


Related Questions

plz halp muh wit my mathy math

Answers

Answer:

( -1/2) ^5

Step-by-step explanation:

We know that a^b* a^c = a^(b+c)

( -1/2) ^ 3 * ( -1/2) ^2

( -1/2) ^ (3+2)

( -1/2) ^5

Answer:

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

[tex] {( \frac{ - 1}{2}) }^{3} × {( \frac{ - 1}{2}) }^{2} \\

=>{( \frac{ - 1}{2}) }^{(3+2)}\\

=>{( \frac{ - 1}{2}) }^{5}\\

=> \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \times \frac{ - 1}{2} \\

=> \frac{ - 1}{32} [/tex]

[tex]{\huge{\pink{\underline{\underline{Formula\ used:}}}}}[/tex]

[tex]{a}^{x}×{a}^{y}={a}^{x+y}[/tex]

Help the possible answers for the picture are 25, 49, 175, or 196

Answers

Answer:

175[tex]mm^{2}[/tex]

Step-by-step explanation:

Just divide the larger one by 7 because the scaled one is 1/7 the size of the larger one:

1225 ÷ 7 = 175

Pls consider giving me Brainliest! It would mean and help a lot! ; )

Answer:

175

Step-by-step explanation:

The medium sushee has 17 more ounces than the small slushee
The large slushee has 6 times as many ounces than the small slushee
The Slushee Company says there are 113 ounces total in the small, medium, and large drinks
How many ounces are in cach size slushee?

Answers

Answer:

A small slushee has 12 ounces.

A medium 29 ounces.

And a large 72 ounces.

Step-by-step explanation:

Let s represent the size of the small slushee, m the medium slushee, and l the large slushee.

We know that the medium slushee has 17 more ounces than the small slushee. So:

[tex]m=s+17[/tex]

We also know that the large slushee l has 6 times as many ounces than the small slushee. Therefore:

[tex]l=6s[/tex]

Finally, we know that there are a total of 113 ounces in the small, medium, and large drinks combined. So:

[tex]s+m+l=113[/tex]

We can solve this triple system of equations using substitution. Let's substitute l for 6s and m for (s+17). This yields:

[tex]s+(s+17)+(6s)=113[/tex]

Combine like terms:

[tex]8s+17=113[/tex]

Subtract 17 from both sides:

[tex]8s=96[/tex]

Divide both sides by 8:

[tex]s=12\text{ oz}[/tex]

So, the small slushee is 12 ounces.

So, the medium slushee is [tex]12+17=29\text{ oz}[/tex]

And the large slushee is [tex]6(12)=72\text{ oz}[/tex]

And we're done!

Mr. and Mrs. Sanchez want to invest money for their
child's college education. They have decided to invest
$2000 initially. If the investment is in an account that
earns 8% annual interest, compounded yearly for 10
years, how much will their investment be worth at the
end of the 10th year? (Hint: $2000 is ao, think about a
as the value of the account at end of the 1st year.)

Answers

The total amount accrued, principal plus interest, with compound interest on a principal of $2,000.00 at a rate of 8% per year compounded 1 times per year over 10 years is $4,317.85.

Given Data

Initial Amount = $2000

Annual interest rate = 8%

Time = 10 years

A = P + I where

P (principal) = $2,000.00

I (interest) = $2,317.85

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 2,000.00(1 + 0.08/1)(1)(10)

A = 2,000.00(1 + 0.08)(10)

A = $4,317.85

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The temperature on Monday was 64.8 degrees and the temperature on Tuesday was 7.65 degrees warmer. What was the temperature on tuesday?

Answers

Answer:

72.45°

Step-by-step explanation:

Add 7.65° to 64.8°

The temperature is 72.45° on Tuesday.

Hope I helped :)

Please consider Brainliest :)

Answer:

Step-by-step explanation:

Monday=64.8

Tuesday= 64.8+7.65

=72.45

1, 3, 7, 15, 31, .
What is the pattern

Answers

Answer:

Step-by-step explanation: Your adding 2. So 1 + 2= 3, 3 + 4 =7, 7 + 8=15, 15 + 16=31. You see my point. My wording is off.

The pattern is y=2x+1 you multiply each number by 2 and add one.
Explanation
2(1)+1= 3
2(3)+1=7
2(7)+1=15
2(15)+1=31

Write the equation for a parabola with a focus at (1,2)(1,2)left parenthesis, 1, comma, 2, right parenthesis and a directrix at y=6y=6y, equals, 6.
y=

Answers

Answer:

  y = -1/8(x -1)² +4

Step-by-step explanation:

The equation of a parabola can be written from focus and directrix using the form ...

  y = 1/(4p)(x -h)² +k

where p is the distance from vertex to focus, and (h, k) is the vertex.

The vertex-focus distance is half the distance from the directrix to the focus. Here, that is ...

  p = (2 -6)/2 = -4/2 = -2

The vertex is halfway between the focus and directrix on the same vertical line, so has coordinates ...

  (h, k) = ((1, 2) +(1, 6))/2 = (1, 4)

__

Using these values of p and (h, k), we find the equation of the parabola to be ...

  y = 1/(4(-2))(x -1)² +4

  y = -1/8(x -1)² +4

_____

Additional comment

You can check the graph by considering the definition of a parabola: each point on the curve is equidistant from the focus and the directrix. This is easily verified for points on the horizontal and vertical lines through the focus. For example, point (5, 2) is 4 units from the focus, and 4 units from the directrix.

Answer:

y=-1/8(x-1)^2 +4

Step-by-step explanation:

X + 2x - 9 + xy - 2 - 3x + 2xy - 4

Answers

Answer:

3xy-15 thats the simplified form

When soling a system of liner equations, try to algebraically form one equation that has only one variable

Answers

Answer:

Yes

Step-by-step explanation:

It helps you to understand the equation easily

HOPE IT HELPED

PLEASE HELP! I WILL MAKE BRAINLIST!

Answers

Answer:

the answer is b because that's the slope

Answer:

B

Step-by-step explanation:

you can try each answer or you can just use number of plants and divide it by number of seed packets which is 10 so B

A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?

Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
Both plans cost the same when 22 texts are sent.
Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
Both plans cost the same when 50 texts are sent.

Answers

Both plans cost the same when 50 texts are sent

Step-by-step explanation:

Let

x ---->the number of texts

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate

b is the y-intercept or initial value

we have that

Emilia’s plan (Red line)

The slope is

The y-intercept is

substitute

----> equation A

Hiroto’s plan (Blue line)

The slope is

The y-intercept is

substitute

----> equation B

The solution of the system of equations A and B is the point of intersection both graphs

The intersection point is given

The intersection point is (50,22.5)

That means----> For x=50 texts, the cost is equal in both plans

Verify each statement

case a) Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent

The statement is false

Because

Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent

Verify

For x=100 texts ----> 100 > 50

Emilia's plans

Hiroto's plans

case b) Both plans cost the same when 22 texts are sent

The statement is false

Because

Both plans cost the same when 50 texts are sent

case c) Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.

The statement is false

Because

Emilia’s plan costs more than Hiroto’s plan when more than 50 texts are sent

case d) Both plans cost the same when 50 texts are sent

The statement is true

Answer:

Both plans cost the same when 50 texts are sent.

Step-by-step explanation: Took test edge 2020: D

Explain why a + b = d.

Answers

Answer:

lets just say a is 1 and b is 2 after adding them 3 which means c will form and after 3 four will come which means d

a + b = c because the sum of the measure of angle a and angle b is equal to the measure of angle c.

What is a triangle?

A triangle is a closed plane figure formed by joining three noncolinear points. According to side property, there are three types of triangles isosceles triangles, equilateral triangles, and scalene triangles.

We know the measure of an exterior angle of a triangle is the sum of the two opposite interior angles of the given triangle.

As we can observe from the given diagram that ∠a, ∠b and ∠c are the interior angles of the given triangle ABC, and ∠d is the exterior angle which is opposite to ∠a and ∠b.

learn more about triangles here :

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Grace, Jessica and Mia went out to dinner after the Volleyball game. Jessica bought two tacos, a coke and a mango smoothie and spent $14.74. Grace bought Mia's dinner. She bought 5 tacos, 2 cokes and 1 mango smoothie and spent $29.05. The mango smoothie cost three times as much as the coke. Determine the price of each item. Answer in a complete sentence.

Answers

Answer:

A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25

Step-by-step explanation:

Given

Represent Tacos with T, Coke with C and Mango with M

For Grace:

[tex]2T + C + M = 14.74[/tex] --- (1)

For Mia:

[tex]5T + 2C + M = 29.05[/tex] -- (2)

[tex]M = 3C[/tex]

Required

Determine the cost of each item

Substitute 3C for M in (1) & (2)

[tex]2T + C + M = 14.74[/tex]

[tex]2T + C + 3C = 14.74[/tex]

[tex]2T + 4C = 14.74[/tex] --- (4)

[tex]5T + 2C + M = 29.05[/tex]

[tex]5T + 2C + 3C = 29.05[/tex]

[tex]5T + 5C = 29.05[/tex] --- (5)

Divide through (5) by 5

[tex]T + C = 5.81[/tex]

Solve for C

[tex]C= 5.81 - T[/tex]

Substitute 5.81 - T for C in (4)

[tex]2T + 4C = 14.74[/tex]

[tex]2T + 4(5.81 - T) = 14.74[/tex]

[tex]2T + 23.24 - 4T = 14.74[/tex]

Collect Like Terms

[tex]2T - 4T = 14.74 - 23.24[/tex]

[tex]-2T= -8.5[/tex]

Solve for T

[tex]T = -8.5/-2[/tex]

[tex]T = 4.25[/tex]

Recall that:

[tex]C= 5.81 - T[/tex]

[tex]C = 5.81 - 4.25[/tex]

[tex]C = 1.56[/tex]

Recall that

[tex]M = 3C[/tex]

[tex]M = 3 * 1.56[/tex]

[tex]M = 4.68[/tex]

Hence:

A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25

At his yearly checkup,John was 68 inches tall. What is another way yo express 68 inches

Answers

another way to express it is it’s 5.6 ft

2. Find f(2) for
the function
below.
f(x) = 1/8•5^x

Answers

Answer:

f(2) = [tex]\frac{25}{8}[/tex]

Step-by-step explanation:

To evaluate f(2) substitute x = 2 into f(x) , that is

f(2) = [tex]\frac{1}{8}[/tex] × 5² = [tex]\frac{1}{8}[/tex] × 25 = [tex]\frac{25}{8}[/tex]

Answer:

24/8

Step-by-step explanation:

BIG BRAIN

What is the approximate length of the diameter, d? Use 3. 14 for. Round to the nearest tenth of a centimeter. 4. 0 centimeters 8. 0 centimeters 15. 9 centimeters 31. 8 centimeters.

Answers

Is there a picture or something B

What is the factored form of 3x+24y?
O 3(x+8y)
0 3xy(x+8y)
O 3(3x+24y)
O 3xy(3x+247)
Plzz helpp

Answers

Answer:

3(x + 8y)

Step-by-step explanation:

3 is the highest term that can be factored out; there are no other numbers/variables in common.

Factor out 3 from 3x + 24y.

= 3(x+8y)

The factored form of the given expression is 3(x+8y).

What are factors?

A factor is a number that divides into another number without a remainder. So, for example, 5 is a factor of 20 because 20/5 = 4. There is no remainder. You can also think of factors as the numbers that you multiply together in order to obtain a product.

Given is an expression 3x+24y, we need to find the factors of the given expression,

3x+24y

Since, 3 is the highest term that can be factored out; there are no other numbers/variables in common.

Factor out 3 from 3x + 24y.

= 3(x+8y)

Hence, the factored form of the given expression is 3(x+8y).

Learn more about factors, click;

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In a recent year, the annual salary of the governor of new York was $179,00. During the same year, the annual salary of the governor of Tennessee was $94,000 less. Write and solve an equation to find the annual salary of the governor of Tennessee (y) in that year.

Answers

Answer:

$85,000

Step-by-step explanation:

Given that, the annual salary of the governor of New York was $179,000.

Let $y be the annual salary of the governor of Tennesse during the same year.

As the annual salary of the governor of Tennessee was $94,000 less than the annual salary of the governor of New York.

So, the annual salary of the governor of Tennesse,

[tex]y=179000-94000[/tex]

[tex]\Rightarrow y=85000[/tex]

Hence, the annual salary of the governor of Tennesse during the same year was $85,000.

James was making cupcakes for a bake sale. The recipe he had uses 2 eggs for every dozen cupcakes. If James needed to make 18 cupcakes, how many eggs would he use?

Answers

Answer:

3 eggs

Step-by-step explanation:

For 12 cupcakes, 2eggs are required.

For 18 cupcakes, 3 eggs are required.

[Use multiplication table of 6, 6*2=12 and 6*3=18]

A city has two water towers. One tower holds 4.37 x 106 gallons of water and the other holds 3.92 x 106 gallons of water. What is the combined water capacity of the two towers?

17.13 x 1012 gallons
17.13 x 1012 gallons

1.11 x 100 gallons
1.11 x 100 gallons

8.29 x 106 gallons
8.29 x 106 gallons

.45 x 1012

Answers

Answer:

the answer is 1.713 x 106

Step-by-step explanation:

Question 7 (1 point)
Problem 7, part b:
Two angles are similar.
A.
must be true
B.
could possibly be true
C.
definitely can't be true

Answers

B. Could possibly be true

Because, who knows? They could be, but they may not be.

(u + 9) 10 distributive property

Answers

= 10 (u + 9)

= 10 x u + 10 x 9

= 10u + 90

Which point has the coordinates (-2.5, 5.5)?

A.
point E
B.
point F
C.
point G
D.
point H

Answers

If i’m not mistaken, point G so answer C.
It is point G. Answer is C

Out of 28 people, 12 adults attended a play. What is the ratio of children to attendees

Answers

Answer:   7:3 is the ratio of the problem

Step-by-step explanation:

What is the equation in slope-intercept form of a line with
а
slope - and y-intercept -2?
3
4
OA) y=_x+2
)
3
4
4.
OB) y=2x +
3
4
OC) y=-x+2
3
v
=x+2
4.
OD) y=-x-2
3
-

Answers

Answer:

D

Step-by-step explanation:

sorry about last time 100% sure about this one

Answer: D, because y =mx + b

Please help this is the 3rd time posting this today. Awarding 30 points.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
−−→
DF

bisects
∠EDG
. Find FG. The diagram is not to scale.

Answers

"FG = 14 is the answer

The two angles, <FDG and <DGF, and the non-included side, DF in ∆FDG re equal to the corresponding two angles, <EDF and <DEF, and non-included side, DF in ∆EDF. Therefore, both triangles are congruent by AAS.

This implies that:

n + 9 = 4n - 6

Collect like terms

n - 4n = -9 - 6

-3n = -15

Divide both sides by -3

n = -15/-3

n = 5

✔️FG = 4n - 6

Plug in the value of n

FG = 4(5) - 6

FG = 20 - 6 = 14"

Find the magnitude of the vector <5, −3>.

1. 5.8
2. 6.1
3. 5.2
4. 4

Answers

Answer:

5.8

Step-by-step explanation:

[tex]\sqrt{5^{2} + (-3)^{2} } \\\sqrt{25 + 9} \\\sqrt{34}[/tex]

5.83

hope it helps

Answer:

5.8

Step-by-step explanation:

well, you use the distance formula to find the magnitude of this vector.

Hope this helps!

THIS ID DUE TODAY! MATH.

Answers

Answer: Inverse

Explanation: Any conditions that doesn't fit the requirement of the conditional statement would make the statement false, therefore it is inverse.

WILL GIVE BRAINLIEST!!!!
What is the best fit line? How do you draw it?

Answers

Answer:

the line of best fit is the line that you would draw in the middle of a scatter plot to try and have the line best represent the scatter plot with the scatter plots angle and direction. this image is an example of one: (ignore the numbers) the line is a best fit line.

Step-by-step explanation:

mr clean

Write 5/2 as a mixed number

Answers

5/2 can be written as 2 1/2

2*2 = 4 + 1 = 5

Answer:

2 1/2

Step-by-step explanation:

you divide 5 into 2, to get 2 and 1 left over

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