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

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

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

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

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:

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

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

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

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

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:

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:

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:

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:

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

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

Help plz will give brainliest

Answers

5 x 3 = 15

Your answer: 15

Answer: 15 out of the 18 blocks are shaded

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:

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

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

what is 10 to the 100th power

Answers

Answer:

EZ!!! 1e+100

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 due tomorrow if correct ill give brailiest

Answers

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

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

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

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.

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:

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

Answers

Answer:

56 +136 add the rest

Step-by-step explanation:

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]

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.

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

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
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