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

i really need someone’s help on this one asap.

Answers

Answer:

(3,-19)

Step-by-step explanation:

To find the approximation where both functions equal, find where both lines intersect at. Both lines intersect in the Fourth Quadrant so The first 2 are wrong.

The y coordinate is lesser than -10 so the 4th one is wrong.

The answer is (3,-19)

Answer:   Choice C.  (3, -19)

Explanation:

The solution to f(x) = g(x) is where the f(x) and g(x) curves cross, aka the intersection point.

Based on the graph alone, it's a bit tricky to tell where they cross. Luckily, your teacher gave you multiple choices to pick from. We can rule out choices A and B since x < 0 here, but the x coordinate of the intersection is positive.

Choice D can be ruled out because the intersection point has a y coordinate such that -20 < y < -15. It looks like y is much closer to -20 than it is to -10. So there's no way to have y = -8 happen.

The only thing left is choice C. It appears that the intersection point could be (3,-19).

(a+1)(b+2)
please help me!!!

Answers

Answer:

(a + 1) (b + 2 ) = 2a + b + ab + 2

Step-by-step explanation:

[tex](a +1 )(b + 2) \\\\= a( b+ 2) + 1 (b +2) \\\\= ab + 2a + b + 2\\\\=2a + b + ab + 2[/tex]

Answer:

[tex](a + 1)(b + 2) \\ = a(b + 2) + 1(b + 2) \\ = ab + 2a + b + 2[/tex]

Answer ↦ [tex]\boxed{\tt{ab + 2a + b + 2}}[/tex]

Method Used:

↦ Distributive Property.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Surveying Indiana high school students about virtual learning or e-learning by sampling all of the students from only some of the online schools in Indiana would be a type of sampling known as cluster sampling.

True
False

Answers

Answer: True

Each high school in Indiana is considered a cluster. Let's say there are 1000 high schools in that state. That would mean there are 1000 clusters.

You would then randomly select say 5 clusters. Once those selections are made, you would then survey every student at those five schools selected. The number of clusters selected will depend on the situation of course.

Please answer the question on the screenshot.

Answers

Answer:

less than, less than, greater than (from top to bottom)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A plane flies from Los Angeles west to Paradise Isle and returns. During both flights there is a steady upper air wind from the west at 80 mph. If the trip west to Paradise Isle took 17 hours and the return trip to Los Angeles took 13 hours, what was the plane's average airspeed?

Answers

Answer: [tex]589.33\ mph[/tex]

Step-by-step explanation:

Given

Trip form Los Angeles west to Paradise Isle took 17 hours and return trip took 13 hours.

Wind from west is 80 mph

Distance traveled is same in both the cases. During the first Journey, wind causes an upstream and for second half, it creates a downstream.

Suppose the speed of plane is

[tex]\Rightarrow (v-80)17=(v+80)13\\\Rightarrow 17v-1360=13v+1040\\\Rightarrow 4v=2400\\\Rightarrow v=600\ mph[/tex]

Suppose the distance is x

[tex]\Rightarrow x=(600-80)\times 17\\\Rightarrow x=520\times 17\\\Rightarrow x=8840\ \text{miles}[/tex]

Average speed is

[tex]\Rightarrow v_{avg}=\dfrac{x+x}{17+13}\\\\\Rightarrow v_{avg}=\dfrac{2\times 8840}{30}\\\\\Rightarrow v_{avg}=589.33\ mph[/tex]

Answer:

The speed of plane is 600 mph.

Step-by-step explanation:

Let the distance is d.

Speed of wind , u = 80 mph

Time, t = 17 hours

time, t'= 13 hours

Let the speed of airplane is v.

distance = speed x time

d = (v + u) x 13= (v - u) x 17

(v + 80) x 13 = (v - 80) x 17

13 v + 1040 = 17 v - 1360

4 v = 2400

v = 600 mph

Vince weights 160, and his friend Nadir weights 140 pounds. Nadir calculated that his weight on another planet would be about 56 lb. Approximately what would weigh on the other planet?

Answers

Answer:

64 lb

Step-by-step explanation:

you can solve this problem by using a proportion, then cross multiply and divide. (better explained in yt videos).

The graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x) . If F(x) = x ^ 3 , which of the following could be the equation of G(x) ?

Answers

Given:

The function is:

[tex]F(x)=x^3[/tex]

To find:

The function G(x) if the graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x).

Solution:

The transformation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that F(x) can be compressed vertically and shifted to the right to produce the graph of G(x). So, the value of k must be lies between 0 and 1, and a<0.

In option A, [tex]0<k<1[/tex] and [tex]a<0[/tex]. So, this option is correct.

In option B, [tex]0<k<1[/tex] and [tex]a>0[/tex]. So, this option is incorrect.

In option C, [tex]k>1[/tex] and [tex]a>0[/tex]. So, this option is incorrect.

In option D, [tex]k>1[/tex] and [tex]a<0[/tex]. So, this option is incorrect.

Therefore, the correct option is A.

Conditional Statement: if p then q The converse form of a conditional statement is when: O p and q are switched, and both negated. p and the q are switched. Neither p or q is negated. O p and q are both negated. Neither p or q are swithced.​

Answers

2 Answers:

B)  p and the q are switched

C) Neither p or q is negated

========================================================

Explanation:

The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.

Here is the full list

Original = If P, then QConverse = If Q, then PInverse = If not P, then not QContrapositive = If not Q, then not P

Side notes:

The original and contrapositive are equivalent in truth value.The converse and inverse are equivalent in truth value.

The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?

Answers

Answer:

Step-by-step explanation:

5²+8²=25+64=89

12²=144

5²+8²≠12²

so it is not aright angled triangle.

Answer:

Not a right triangle

Step-by-step explanation:

A triangle is right if the sides of the triangle satisfies the Pythagoras theorem.

That is square of the largest sides = sum of the sqaures of the sides .

That is ,

            [tex]12^2 = 5^2 + 8^2 \\\\144 = 25 + 64 \\\\144 \neq 89[/tex]

It did not satisfy the Pythagoras theorem.

Hence the given triangle is not a right triangle.

look at the image for the question and the answers​

Answers

Answer: The answer is your bad, you shouldnt be "answering" questions with " sorry i need points"  

What single decimal multiplier would you use to increase by 8% followed by a 9% increase?

Answers

The answer is 1.1772

Answer:

1.1772 is the single decal multiplier which should be used.

Step-by-step explanation:

Let the initial value be X.

After 8% increase, the value is =((100+8) /100) ×X = 1.08X.

Again after 9% increase, the final value is =((100+9) /100) ×1.08X =(1.09) ×(1.08) X =1.1772X.

This single decimal multiplier which should be used is 1.1772

Mathematics can help me with

Answers

Answer:

Fabric    Cloaks

   21            6

   7              2

   14            4

Step-by-step explanation:

To represent the situation, we can write a ratio using the information 21 sq meters per 6 wizard cloaks. we can write:

21 sq m/ 6 cloaks

and simplify both the numerator and denominator by dividing each by 3:

7 sq m/ 2 cloaks

We can already fill out the second row because, from the ratio above, we can say 2 cloaks use 7 sq m.

For the next row, we need the number of cloaks, or the denominator to be 4. So, we need to multiply both the top and the bottom by two to get:

14 sq m/ 4 cloaks

This means 4 cloaks need 14 sq m.

6. Don Juan compro un terreno con las dimensiones que se muestran en la figura el cual se va acondicionar para realizar eventos sociales, por lo que desea instalar césped en la region sombreada. ¿Cuantos metros cuadrados de césped requiere? Considera rt=3.14 16 m O 50 24 m2 0 205 76 m2 256 00 m2 0 5504 m2​

Answers

Answer:

Not sure but I think it might be A

Step-by-step explanation:

Took the test

Can someone help me with this math homework please!

Answers

Answer:

1st option.

0 to 100 miles per hour

Step-by-step explanation:

as we can see the question states that a particular car' s gas mileage DEPENDS upon its speed.

Since, the independent variable is the domain of the function the speed of the car will act as the domain of the given function.

out of all the option option 1 gives us values of speed( cause its unit is miles/ hour - unit of speed).

so the domain is

0 to 100 miles per hour.

Answer:

(A) 0 to 100 miles per hour

Step-by-step explanation:

The domain is the independent variable, or the input. The speed is the independent variable because the gas mileage DEPENDS on it. That means the gas mileage is the dependent variable.

The only answer that is related to the speed is the first answer choice.

Hope that helps (●'◡'●)

What is the first step when applying properties of operations to divide 73.85 by 4.1?
Multiply the divisor and dividend by 10.
O Multiply the divisor and dividend by 100.
• Divide the divisor and dividend by 10.
• Divide the divisor and dividend by 100.

Answers

Step-by-step explanation:

divide the divisor and dividend by 10

step by step how to solve ? 16x^2-10.3x+10=

Answers

Answer:

it is not possible result is not given so it is not possible

In a clinic, a doctor charges Rs 1200 for every 15 minutes. If he attends to the clinic 2 hours per day for seven days, how much will he earn during a week?

Answers

Answer:

67,200 (please note you did not specify the currency this is figured in so that is important to include in your answer. If this answer is in dollars, then make sure you add a dollars sign and specify "dollars" in your answer. If it is in another currency then put that in).

Step-by-step explanation:

First, we need to figure out how much the doctor makes per hour. Since there are 4, 15 minute billing periods per hour, we multiple to find the hourly billing charges:

4[tex]4*1200=4800[/tex] (this is the amount the doctor makes per hour)

Next, we have to take that hourly charge and multiply it by 2 because we know the doctor works two hours per day:

[tex]4800*2=9600[/tex] (this is the amount the doctor makes per day working two hours)

Finally, we know the doctor attends to the clinic two hours per day and seven days per week. We have to multiply the amount of money earned in two hours (9600) by 7 days:

[tex]9600*7=67,200[/tex] (this is the amount the doctor makes in seven days, billing two hours per day)

Evaluate the question in the photo attached please. ASAP

Answers

The answer is 29 I think
The answer is 29

——————————

Explanation:

X^2 = 4^2 when we replace x with 4, 4^2 is 16

And 3x = 3*4 which makes 12

We can then add these sums together to get 28

28 - 7 = 21 and 21 + 8 = 29


Hope this helps, have a great day

According to general equation for conditional probability, if P(A^B) = 2/3 and P(B) = 3/4, what is P(A|B)?

Answers

Answer:

a

Step-by-step explanation:

ok

Answer:

D. 8/9

Step-by-step explanation:

if p-1/p = 4 Find (p+1/p)²​

Answers

Answer:

4

Step-by-step explanation:

[tex] \frac{p - 1}{p} = 4[/tex]

Solve for p.

The numerator. difference has to be 4 times the answer of the denomiator.

So we can say

[tex]p - 1 = 4p[/tex]

Solve for p

[tex] - 1 = 3p[/tex]

[tex]p = - \frac{1}{3} [/tex]

Now plug this in for the other formula.

[tex]( \frac{ - \frac{1}{3} +1}{ \frac{1}{3} } ) {}^{2} = 2 {}^{2} = 4[/tex]

So

PLEASE HELP! Use the substitution method to solve the system of equations.

A. (-30,11)

B. (5,-3)

C. (10,-5)

D. (0,1)

Answers

Hello,

[tex]\left\{\begin{array}{ccc}2x+5y&=&-5\\x+3y&=&3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\6-6y+5y&=&-5\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\y&=&11\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&-30\\y&=&11\\\end{array}\right.\\\\[/tex]

Answer A

Question 4 (True/False Worth 4 points)
(0701)
True or False?
is a solution to the inequality 12+2 < 12
True
O False

Answers

I’m not sure what the question is asking but from my understanding, the answer is false.

Explanation:

Because the 12+2 on the left side isn’t less than twelve. This makes it false.

If a window is to be 6 feet wide, how high should it be, to the nearest tenth of a foot, to be a golden rectangle

Answers

Answer:

3.7 feet

Step-by-step explanation:

A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618

If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft

= 3.7 (to the nearest tenth)

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

PLEASE ANSWER QUICK!!! 30 POINTS

The figure has angle measures as shown.
A
19x - 15
26x + 20
D
9x + 25
C
B
What is the measure of ZABD?
O 150°
O 120°
O 70°
O 30°

Answers

Answer is 150°. Work is attached

Answer:

Solution given;

<ABD=<BAC+<ACB

Since exterior angle of a triangle is equal to the sum of two opposite interior angle

26x+20=19x-15+9x+25

solve like terms

26x+20=28x+10

subtracting both by 10

26x+20-10=28x+10-10

Subtracting both side by 26x

10=28x-26x

2x=10

dividing both side by 2

2x/2=10/2

x=5

Now

<ABD=26*5+20=l50°

The value of <ABD is 150°

Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.

Answers

Answer:

Profit % = 11,11 %

Step-by-step explanation:

Answer:

14% profit on shirt/skirt?...

actually as written the question can not be answered....

the start of the problem has gloves, and SHIRT... at the end you want the

profit on a SKIRT

Step-by-step explanation:

gloves sold for 8

shirt sold for 40

.2(48) = 9.60 profit

9.60 - 4 = 5.60 profit of shirt

x(40) = 5.60

14% profit on shirt

help can you please help question a b and c
(with the working out)​

Answers

Answer:

a) 12 'o' clock, b) 30 minutes c) you can do it your answer may differ

Step-by-step explanation:

a) look closely you will see it is 24 hours format, so it is proved she starts going to town at that that time

b) look you there is a downward movement of graph means it shows she is not travelling she is resting done let after 1500 or 3:00pm and before 1600 or 4:00pm point be 3:30 so till 3:30 to 4:00 rested in town

c) answer may differ

pls thank me and mark brainliest if you can

Nimo stayed in town for 100 units(Seconds? Minutes?)

Nimo traveled 1 kilometer in the time of 100 units. He then took a break for 50 units and traveled half of a kilometer over the time of 100 units and took a break for another 100 units. He then traveled back home in 50 units.

Find the measure of the missing angle using the exterior angle sum theorm.

Answers

Step-by-step explanation:

the correct answer for the question is 85

We know that, in a triangle,

Exterior angle = Sum of interior opposite angles

So,

missing angle = 45° + 40°

=> missing angle = 85°

30 POINTS !!!

what is the total surface area of the square pyramid? 5in height abs 8in base

20
40
104
144

Answers

maybe 40? i hope this helps
I believe 40 is the answer. At least I hope so

Use a half-angle identity to find the exact value of Sin/8
a.
√2 + √2
√2+ √2
2
b. V2-E
d. √2-√2
2
Please select the best answer from the choices provided

Answers

Answer:

To solve this problem, we need to use the following two facts:

1) If a quadratic equation has integer coefficients only, and if one of the roots is a + √b (where a and b are integers), then a - √b is also a root of the equation.

2) If r and s are roots of a quadratic equation, then the equation is of the form x^2 – (r +s)x + rs = 0.

Since we know that 1 - √2 is a root of the quadratic equation, we can let:

r = 1 + √2

and

s = 1 - √2

Thus, r + s = (1 + √2) + (1 - √2) = 2 and rs = (1 + √2)(1 - √2) = 1 – 2 = -1.

Therefore, the quadratic equation must be x^2 – 2x – 1 = 0.

Answer: D

Step-by-step explanation:

a therate ticket cost £63 plus a booking fee of 3%
what is the total price of the ticket

Answers

Answer:

Total amount of ticket free = £64.89

Step-by-step explanation:

Given:

Cost of theater ticket = £63 plus

Booking fee of theater ticket = 3%

Find:

Total amount of ticket free

Comutation:

Total amount of ticket free = Cost of theater ticket + Booking fee of theater ticket

Total amount of ticket free = 63 + 3%

Total amount of ticket free = 63 + 1.89

Total amount of ticket free = 64.89

Total amount of ticket free = £64.89

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