If a^2 -b^2 =12 and a-b=4 what is the bay of a +b

Answers

Answer 1

Answer:

a+b = 3

Step-by-step explanation:

a = b+4

a^2 = (b+4)(b+4) = b^2 + 8b +16=-b^2 = 12

8b=-4

b = - 1/2

a = 3.5


Related Questions

Can someone ask me about this, which is algebra, please

Answers

Answer:

The correct answer is not shown in your picture. You must get a = 60.

Step-by-step explanation:

(1/2)a + (2/3)b = 50

b = 30

(1/2)a + (2/3)(30) = 50

(1/2)a + 20 = 50

(1/2)a + 20 - 20 = 50 - 20

(1/2)a = 30

2 * (1/2)a = 2 * 30

a = 60

The correct answer is not shown in your picture. You must get a = 60.

Solve for e. 4/3 = -6e - 5/3

Answers

Answer:

e = -1/2

Step-by-step explanation:

To solve this problem, our first step is to add 5/3 to both sides of the equation.  This gives us:

4/3 + 5/3 = -6e - 5/3 + 5/3

9/3 = -6e

We can simplify the left side of the equation by performing the division.

3 = -6e

Next, we can solve for e by dividing both sides of the equation by -6.

e = -1/2

Therefore, the correct answer is e = -1/2.

Hope this helps!

Answer:

The value of e is -1/2

Step-by-step explanation:

4/3 = - 6e - 5/3

Now, add 6e both side we get,

4/3 + 6e = + 6e - 6e - 5/3

4/3 + 6e = - 5/3

Now, subtract 4/3 from both side we get,

4/3 - 4/3 + 6e = -4/3 - 5/3

6e = -4/3 - 5/3

6e = -4 - 5/3

6e = -9/3

6e = -3

Now, divide 6 from both side we get,

6e/6 = -3/6

e = -1/2

Thus, The value of e is -1/2

-TheUnknownScientist

find the domain of f(x)=sec(2x)

Answers

Answer:

*Refer the image attached

Step-by-step explanation:

*Refer the image attached

Find the domain in the given ordered pairs.
{(2, 3), (3, 5), (6, 7), (8, 9)}

Answers

Answer:

saaad

Step-by-step explanation:

Answer:

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Step-by-step explanation:

{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}

The domain is the input and the range is the output

domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}

We put the numbers in order from smallest to largest

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

if the diagonal of a square is √48 what is the area of a square​

Answers

Answer:

using Pythagoras' theorem c²=a²+b²

the diagonal is the hypotenuse of one of the triangles formed

let x represent one side of the square

√48²=x²+x²

√48²=2x²

48=2x²

48/2=2x²/2

24=x²

√24=√x²

4.8989794855663561=x

~4.90

Area of the square=side x side

4.90x4.90

24.01units²

Which of the following terms is best described as the point halfway between
the endpoints of a line segment?
O A. Midpoint
O B. Ordered pair
O C. Coordinate
O D. Vertex

Answers

The answer should be A midpoint

Under which transformation is size not preserved?
A. reflection
B. dilation
C. rotation
D. translation

Answers

i believe the answer is B. dilation

The size is not preserved in B. dilation

What is transformation?

Translation happens when we move the image without changing anything in it. Hence the shape, size, and orientation remain the same.

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

Rotation means the circular movement of an object around a centre. It is possible to rotate different shapes by an angle around the centre point.

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system.

Hence,The size is not preserved in B. dilation

More about translation :

https://brainly.com/question/1761538

#SPJ2

A shopkeeper has enough money to buy 40 books each costing Rs.125. How many books he can buy if he gets a discount of Rs.25 on each book ?​

Answers

Answer:

48

Step-by-step explanation:

first , muntiply 40*125 = 5000( cost of 40 books in rs 125 each)

125-25 = 100

multiply 40*100= 4000

5000-4000= 1000

divide 1000/125 = 8

therefore , 40+8= 48

A unit of gas costs 4.2 pence on averge ria uses 50.1 units of gas a week she pays for the gas she uses in 13 weeks work out an estimsate for the amount ria pays

Answers

Answer:

Step-by-step explanation:

Cost per unit of gas = 4.2 pence

Average units of gas used per week = 50.1 units

Total cost of gas per week = Cost per unit of gas × Average units of gas used per week

= 4.2 pence × 50.1

= 210.42 pence

= £ 2.1042

Amount ria pays for gas for 13 weeks = cost of gas per week × number of weeks

= 210.42 pence × 13

= 2,735.46 pence

2,735.46 pence = £ 27.3546

Sandra needs a new bicycle tire. Her tire has a circumference of about 113,04 inches. What is the radius of her tire?

Answers

Answer:

113,04 square root is 10.632027088 divided by Pi

3.38427933228

so the radius of her tire is 3.38

Hope This Helps!!!

Answer: 18 inches


Step 1: Write equation

To find the radius, we will go through the formula for the circumference. Let’s write the example equation now.

C= 2πr

Step 2: Substitute numbers

Now we can write the full equation, using the information from the question. The r will be the only number to stay the same, as we ar s working to find the radius. Let’s substitute the C in the equation for 113.04 as given in the equation.

C= 2πr
113.04= 2πr

Step 3: Solve

For step 3, we can solve the equation. Let’s start by rewriting the equation.

113.04= 2πr

Now let’s multiply what is available on the right side. This would be 2 and pi. For the sake of the equation, pi will be rounded to 3.14.

113.04= 2πr
113.04= 2•3.14•r
113.04= 6.28r

Now let’s work to get r alone on the right side. We can do so by dividing each term by 6.28, on both the left and right side.

113.04= 6.28r
113.04/6.28= 6.28r/6.28
18= r

This is your answer! To be sure, let’s check our answer in the final step.

Step 4: Check

To ensure that we got the right answer, let’s rewrite the original formula, and solve it to see if the answer is the same on the left and right side.

C= 2πr
113.04= 2•3.14•18
113.04= 6.28•18
113.04= 113.04

Our answer is correct. 18 inches is the length of the radius. Hope this helps! Comment below for more questions.

What percentage of 1hour is 6munites 20seconds

Answers

Answer:

1 minute and 12 seconds is 2 % of an hour.

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

If 1 pint is equal to 2 cups, then 5 pints would equal how many cups

Answers

If 1 pint is equal to 2 cups then 5 pints equals 10 cups

5 times 2 equals 10.

i need help multiplying these radicals:) there’s two: A) and B)

Answers

Answer:

Step-by-step explanation:

Well lets start with

(3*sqrt 2+ 1)(2*sqrt 3-4)

Lets multiply everything in the second parenthesis by 3*sqrt 2

2 sqrt 3 * 3 sqrt 2 =  6 sqrt 6

-4*3 sqrt 2 =  -12 sqrt 2

Now lets multiply everything by 1

1*2 sqrt 3 = 2 sqrt 3

1*-4 = -4

we have

-4  -12 [tex]\sqrt{2}[/tex]  +  6 [tex]\sqrt{6}[/tex]  + 2 [tex]\sqrt{3}[/tex]  as the awnser to problem A

Now lets do problem b

We can start by multiplying everything in the second parenthesis by 2

2*5=10

2*-1 *sqrt 3 = -2 sqrt 3

Now multiply everything in the second parenthesis by 2sqrt3

2sqrt 3 * 5 = 10 sqrt 3

2 sqrt 3 * -1* sqrt3 =  -6

Our final awnser is

10-6 +10 sqrt 3 -2 sqrt 3 ->  4+ 8 [tex]\sqrt{3}[/tex]

The awnser to question B is 4+ 8 [tex]\sqrt{3}[/tex]

pls give brainliest

Helpppp and explain :))

Answers

Answer:

y = 2x - 7

Step-by-step explanation:

(1,-5) (2,-3)

y2 - y1 / x2 - x1        -3 - (-5) / 2 - 1     2/1       = 2

y = 2x + b

-3 = 2(2) + b

-3 = 4 + b

-7 = b

solve for x

5x = 10 ​

Answers

Answer:

x = 2

Step-by-step explanation:

To solve for x, isolate it by dividing both sides of the equations by 5.

5x / 5 = 10 / 5

x = 2

Answer:

x = 2

Step-by-step explanation:

5x = 10

Divide both sides by 5.

x = 2

I need help right now before it due

Answers

Answer: 41°


Step 1: Write an equation

To start off, we will need to write an equation. We are told that this is an isosceles triangle, and are asked to use our knowledge of this shape to solve. An isosceles triangle has two angles that share the same degree. In this case, we can see that these are the bottom two angles, one of which is labeled as x. This means that the equation will be 98, in addition to 2x, equaling 180. This is because in a triangle, each angle will come together to equal 180. Let’s formally write the equation now.

98+ 2x= 180

Step 2: Solve

All we have left is solving the equation. Let’s rewrite the equation to start.

98+ 2x= 180

Now let’s work to isolate x. To start, we need to move the constant to the right side. Let’s subtract 98 from each side.

98+ 2x= 180
2x= 82

Great! In the final step, we can find the value of x. To do so, we need to divide each term by 2. This will give us our answer.

2x= 82
x= 41


X is equal to 41°. Hope this helps! Comment below for more questions.

A ream contains 500 sheets of paper. How many sheets in 2 reams?

Answers

500+ 500 is 1,000, 500 represents 1 so times that by two and you get 1,000

How do I work this out??

Answers

Answer:

quarter 2/ 5

Step-by-step explanation:

Which of the following values is closest to the standard deviation for the set
of data shown below?
23, 64, 73, 47, 22, 46, 34, 48, 67, 89, 83, 12, 23, 44, 16

Answers

It’s A thinks for the time

Solve for x.

Help me please

Answers

Answer:

x = 24

Step-by-step explanation:

Mathematically, in a cyclic quadrilateral; two opposite angles are supplementary

what this mean is that the opposite angles add up to equal 180 degrees

mathematically, we have this as;

(4x + 9) + (3x + 3) = 180

4x + 3x + 3 + 9 = 180

7x + 12 = 180

7x = 180-12

7x = 168

x = 168/7

x = 24

A football is thrown from the stadium. The height of this football can be represented by the polynomial -16t2 +32t + 20, where t is the time in seconds. Find the factored form of the polynomial.

A) 4(2t+5)(2t-1)
B) 4(2t-5)(2t+1)
C) -4(2t-5)(2t+1)
D) -4(2t+5)(2t-1)​

Answers

Answer:

C

Step-by-step explanation:

related equation

-16t^2 + 32t + 20 = 0

-4t^2 + 8t + 5 = 0

Δ/4 = 16 + 20 = 36

t1 = (-4 + 6)/-4 = -1/2

t2 = (-4 - 6)/-4 = 5/2

-16(t+1/2)(t-5/2)

-16(2t+1/2)(2t-5/2)

-4(2t+1)(2t-5)

Two cars travel along a highway at the same speed.
Car A travels 20 km in 12 min.
How long will it take Car B to travel 50 km?

Answers

Answer:

30 mins

Step-by-step explanation:

speed = distance/ time

speed of car A

= 20/ 12 km/ min

= 5/ 3 km/ min

also, speed of car A = speed of car B

speed of car B = 5/ 3 km/ min = 50km / time taken (in mins)

[tex] \frac{5}{3} = \frac{50}{t} [/tex]

[tex]5t = 150[/tex]

[tex]t = 30[/tex]

=> t = 30 mins

What is the range of the function f(x)=3/4 (x) -3

Answers

The function f(x)=3/4 (x) -3 is a straight line,

so the range of the function is (-∞,∞)

Answered by GAUTHMATH

Unit Test Unit Test Active 1 2 3 4 5 6 7 CO Given fix) = 17- x2, what is the average rate of change in f(x) over the interval [1, 5]? -6, -1/2, 1/4, 1​

Answers

Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope. This is a quadratic so the slope is not something that is constant like it is in a line. Here you have the x coordinates of 1 and 5; each one of these x coordinates has a y coordinate that goes with it. If we draw a line from one of these coordinates to another,  that line will have a slope. That is the slope we are trying to find. Thus, we need the y coordinates that go with each of these x coordinates. To do that, plug x into the equation and do the math to find y:

Let's start with x = 1.

f(1) = [tex]17-(1)^2[/tex] so

f(1) = 16 and the coordinate is (1, 16).

f(5) = [tex]17-(5)^2[/tex] so

f(5) = -8 and the coordinate is (5, -8). Now we apply the slope formula:

[tex]m=\frac{-8-16}{5-1}=\frac{-24}{4}=-6[/tex] So the answer is -6.

A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the height of the prism is placed inside the prism, as shown in the figure.
The volume of the space outside the pyramid is _ cubic centimeters.

Answers

Answer:

the answer is 200cm^3

explication

A company makes steel rod shaped like cylinders. Each rod has a radius of 4 cm and a height of 30 cm. How much steel will the company need to make 113 rods

Answers

Answer:

Bob and Charlotte are raising their grandchildren after their daughter dies.The children are moved from California to a farm in Nebraska. The three children are struggling with school, life on a farm and their mother’s death. Sam is having trouble working with his son and new ideas for the farm. Charlotte doesn’t want to make the same mistakes she made with her own children.Their faith and help from friends help. The one thing that stood out was how overworked Charlotte is with no help or time to herself.

does anyone know how to solve? I also have more I need help with.

Answers

In between 2000 and 90000

Don't use a 2

Can someone help me with this math homework please!

Answers

Here, t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t.

So, we need to substitute 10 into 210 -15t in place of t.

On simplifying 210 -15(10), we get that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]h(10) \text{- the altitude of the hot air balloon after 10 minutes.}\\\\\boxed{h(10)=60}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

As described in the question, the function [tex]h(t)[/tex] models the total altitude of a hot air balloon over time. 't' represents the number of minutes that would be given.[tex]h(10)[/tex] would be the total altitude over 10 minutes time. To solve for the value, we would replace 't' with 10 and then evaluate.

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating the function...}}\\\\h(t) = 210 - 15t; \text{ } h(10)\\-------------\\\rightarrow h(10) = 210 - 15(10)\\\\\rightarrow h(10)=210 - 150\\\\\rightarrow \boxed{h(10) = 60}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

the a oranial price of a skate broad was reduced by 15 dollars .the new price is 49 dollars if p=the stakebroads oranail price in dollars what mathematical sentence expresses the information
a.49-p=15
b.15-p=49
c.15+p=49
d.p-15=49

Answers

Answer:

d)

Step-by-step explanation:

We will get the new price by subtracting the reduction price from the original price.

Original price -  reduced price = New   price

p - 15 = 49

Answer:

Option D

Step-by-step explanation:

p - 15 = 49

Option D is correct answer

65% of what number is 13?

Answers

Hi!

65% → 13 || : 13

5% → 1 || • 20

100% → 20

Answer: 65% of 20 is 13.

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