find the value of a2+b2 and a4+b4 when a+b=5 and ab =4

Answers

Answer 1

Answer:

a² + b² = 17

a^4 + b^4 = 257

Step-by-step explanation:

The only solutions for a+b=5 and ab =4 is:

4 and 1 but we don't know which is which. In this case it doesn't matter though.

a² + b² = 16 + 1 = 17

a^4 + b^4 = 256 + 1 = 257


Related Questions

Harvey and Dona want to test the range of the walkie-talkies they have. They start at Harvey's house and walk away from each other. Harvey goes to the store 4 miles away to the East and Dona goes to the park 5 miles West. How far apart are the walkie-talkies?

Answers

9 miles away from each other

How can I factorise expressions

Answers

Answer:

The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1) . This video shows you how to solve a quadratic equation by factoring.

Step-by-step explanation:

70 pointsss for the correct answer

When the function f(x) is divided by 4x−5, the quotient is 3x^2 −x+3 and the remainder is −2. Find the function f(x) and write the result in standard form.

Answers

Answer:

Step-by-step explanation:

f(x) = (4x-5)(3x²-x+3) - 2

= (12x³-4x²+12x)-(15x²-5x+15) -2

= 12x³ - 19x² + 17x - 17

What is the total surface area??? PLEASE HELP ME

Answers

Answer:

56 +136 add the rest

Step-by-step explanation:

The length of two sides of a right triangle are leg:
10 m and hypotenuse: 15 m.
Find the length of the third side.

Answers

Answer:

11.2m

Step-by-step explanation:

Using Pythagoras,

a²+b²=c²

10²+b²=15²

100+b²=225

b²=225-100

b²=125

b=√125

b=11.2m

Help plz will give brainliest

Answers

5 x 3 = 15

Your answer: 15

Answer: 15 out of the 18 blocks are shaded

can someone plz do both of these will mark brainleist

Answers

Answer:

Step-by-step explanation:

2.b=90

1.30

Answer:

Step-by-step explanation:

6. You're gonna use Cos to find Y

Cos = adj/hyp

Cos 27 = 10/y

10/cos27 = y

11.2 = y

7. It'll help immensily if you draw this one out.

You're gonna use Sin to find the angle.

Sin = opp/hyp

Sin 65 = 14/x

14/sin65 = x

15.4 = x

What is the value of the following expression: w^2 + 2 + 48 divided by 2z. If w = 5 and z = 8

Answers

Answer:

Replace w and z with the given values:

5^2 + 2 + 48 / 2(8)

Simplify:

75/16 = 4 and 11/16

Step-by-step explanation:

hopes this helps

-Unknown

what are the answers to these 2 questions? pls help! thank u

Answers

Answer:

The first answer is no

two varying quantities are said to be in a relation of proportionality you can't divide 50 into 6 and get a proportional number

The second answer is yes because they are all equal and make a straight line

Step-by-step explanation:

In a hostel, 120 students consume 2160 kg of rice per month. How much rice will be consumed by 80 students in a month?

Answers

Answer:

1440kg of rice

Step-by-step explanation:

2160kg/120 students gives 18kg of rice per student per month. Take that

18kg*80people gives you 1440kg of rice for 80 students

What is the equation of the line that passes through the point (-3, 4) and has a
slope of 1?

Answers

Answer:

y =1x+4

Step-by-step explanation:

Adrian purchased a new car in 1990 for $24,900. The value of the car has
been depreciating exponentially at a constant rate. If the value of the car was
$13,500 in the year 1994, then what would be the predicted value of the car
in the year 1999, to the nearest dollar?

Answers

Answer:

Multiply it by 4 and divide it by 100.  It should be1,100. Now multiply it by12. it should be 13200 . Now subtract that to the original price.  14300

Step-by-step explanation:

PLEASE rate follow and thank

Answer: 6281

Step-by-step explanation:

8. Amy is flying a kite. Her kite is flying 45 ft above the ground, and the string makes a 35°angle with the ground. How long is the string?
Round to the nearest HUNDREDTH. (0.01)
Note: This is a trigonometry question

Answers

Answer:

Check pdf

Step-by-step explanation:

In order to raise money for road repairs, the bridge toll is going to increase 130% next month. If the bridge toll is currently $2.50, how much will the toll be after the increase?

A.$0.75

B. $3.25

C. $4.80

D. $5.75

Answers

B, just multiply 130% by 2.50

Multiply and simplify. Plz show work!
(3x − 2)(5x^2 − 7x + 2)

Answers

Answer:

15^3−31^2+20−4

Step-by-step explanation:

Distribute

(3−2)(5^2−7+2)

3(5^2−7+2)−2(5^2−7+2)

Distribute

3(52−7+2)−2(5^2−7+2)

15^3−21^2+6−2(5^2−7x+2)

Distribute

15^3−21^2+6−2(5^2−7+2)

15^3−21^2+6−10^2+14−4

Combine like terms

15^3−21^2+6−10^2+14−4

15^3−31^2+6+14−4

Combine like terms

15^3−31^2+6+14−4

15^3−31^2+20−4

Solution

15^3−31^2+20−4

The prism shown has a volume of 35 cm.
Work out h, the height of the triangular cross section.
h
7 cm
4 cm

Answers

Answer:

the height is 2.5 cm

Step-by-step explanation:

The computation of the height of the triangular section is shown below:

As we know that

Volume = One-half × base × height

35 = One-half × 4 × height × 7

So, the height is 2.5 cm

Answer:

Height = 2.5cm

Step-by-step explanation:

Volume = Base(b) x Height(h) x Length(l) / 2

Substitute the information that you have into the equation

Volume = 4 x Height(h) x 7 / 2

Height = 4x7 / 2

= 14cm

35 / 14

= 2.5cm

what is 10 to the 100th power

Answers

Answer:

EZ!!! 1e+100

Step-by-step explanation:

here are 4 red cards and 8 black cards in a bag. How likely is it that you will randomly draw a blue card?

a
Impossible
b
Unlikely
c
As likely as not
d
Likely
e
Certain

Answers

Answer:

I would say B?

Step-by-step explanation:

Hope this helps (:

A impossible because nowhere does it say there are any blue cards in the bag

Plz help due tomorrow if correct ill give brailiest

Answers

c) the left side of the equation should be -15 + 3r after distributing.

please only answer if you're a hundred percent sure you know the correct answer and please answer all question

Answers

Answer:

Q.no.1

d=1 then t=7

d=3 then t=11

t=15 then d=5

Q.no.2

d=1 then t=3

d=3 then t=9

t=15 then d=5

Q.no.3

5x = 12+18

or, 5x = 30

or, x =30/5

or, x = 6

Q.no.6

x < 8

Q.no.7

x >_ 7 ( option d)

Hope it helps.

Please help with this question:
Tell whether a triangle can have the sides with the given lengths 12, 13, and 24

Answers

Answer:

yes

Step-by-step explanation:

as long as the two shortest sides add up to more than the longest side then a triangle can be made with those side lengths

hi does 1/6 -3 √7, -6/5 come first when the numbers are listed from least to greatest​

Answers

Answer:

I think Yes im not exactly sure

Step-by-step explanation:

Find Y. Round to the nearest tenth. Z 17 ft 8 ft X 16 ft Y Y= [?]° Law of Cosines: c2 = a + b2 - 2ab cos C​

Answers

Answer:

27.8

Step-by-step explanation:

plz help :: y - 4 = -3(x - 3) in slope internet form and show the work

Answers

Answer:

Step-by-step explanation:

y-4=-3x+9

y=-3x+13

WILL GIVE BRAINLIEST! Form quadratic functions given the following information: f(x)>0 if and only if 1

Answers

Answer:

Step-by-step explanation:

sin (330)

-4 cot

(-45)

csc (60)

Answer:

f(x) = -2(x-3)^2+8

Step-by-step explanation:

Using vertex form: f(x)= a(x-h)^2 +k

if the maximum is 8 then k=8

h = 3 --> the midpoint of 1 and 5

Fill in the equation:

f(x) = a(x-3)^2 +8

Using f(1) = 0 to figure out a:

0 = a(1-3)^2+8

4a =-8

a = -2

Our final equation would be[tex]f(x)=-2(x-3)^2+8[/tex]

In standard form:  [tex]f(x)=-2x+12x-10[/tex]

Lisa is going on a 3 3/4 mile hike. She has already hiked 1 1/4 miles. How many more miles does she have left to hike?

Answers

Answer:

C = 2½ miles.

Step-by-step explanation:

Let the total distance be A

Let the distance covered be B.

Let the unknown distance (distance left) be C.

Given the following data;

A = 3¾ miles

B = 1¼ miles

To find the distance left to hike;

A = B + C

Substituting into the equation, we have;

3¾ = 1¼ + C

C = 3¾ - 1¼

C = (3 - 1) ¾ - ¼

C = 2 2/4

C = 2½ miles.

Method II.

We would convert the mixed fraction into a proper fraction:

A = 3¾ = (4*3 + 3)/4 = 15/4

B = 1¼ = (4*1 + 1)/4 = 5/4

C = 15/4 - 5/4

C = 10/4

C = 5/2

C = 2½ miles.

Can anyone please help with this?​

Answers

Answer:

see explanation

Step-by-step explanation:

Find AC

AC = AD + DC = 3y + 4x

(i)

AE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex](3y + 4x) = [tex]\frac{3}{2}[/tex] y + 2x

(ii)

CB = - AD = - 3y

One of the students is chosn at random. What is the probability of picking a student who sciored above 65

Answers

Answer: 7 / 18

Step-by-step explanation:

There were 18 students.

Out of them, the scores above 65 are:

73, 73, 69, 68, 71, 76, 70

There are 7 of them.

Probability of picking someone who scored higher than 65 is:

= Number of people who scored above 65/ Total number who took the test

= 7 / 18

leah buys 3 adult and 3 child bus passes for a trip. the costs of an adult pass is a. the costs of a child pass is c. write an expression that will show the costs for all of the bus passes for the trip.​

Answers

Answer:

6

Step-by-step explanation:

Find mAPD .
60
Select one:
O a. 30 degrees
O b. 60 degrees
O c. 45 degrees
O d. 90 degrees

Answers

Answer:

I believe it's a because 90 + 60 would get you 150 and then you add 30 and it gives you 180/half a circle

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