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

Answer:

16

Step-by-step explanation:

64 divided by 4 is equal to 16.

Answer:

875 Watts

Step-by-step explanation:

Given that :

P α s²

P = ks²

Where k is the proportionality constant

When ; p = 1260 ; s = 30

1260 = k * 30²

1260 = 900k

k = 1260 / 900

k = 1.4

Value of p ; when s = 25

P = 1.4 * s²

P = 1.4 * 25²

P = 1.4 * 625

P = 875 watt

Answer:

a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.

b) [tex]D=[0,5][/tex]

c) [tex]R=[0,35][/tex]    

Step-by-step explanation:

a) H0 is the initial height. It means the height of the rocket at time 0 s.

This value is 15 m.

b) The domain is all values of t between 0 and 5 seconds.

[tex]D=[0,5][/tex]

c) The range is all values of height from 0 to 35 meters.

[tex]R=[0,35][/tex]      

I hope it helps you!

Answer:

(-, -)

Step-by-step explanation:

The x value is negative and the y value is also negative

Answer:

The relationship between Fahrenheit and Celsius is directly proportional

The relationship between Celsius and Fahrenheit demonstrates that the two units are directly proportional to one another.

Is there a proportional link between the temperature scales?

No. because the ratio is different (no constant of proportionality). The relationship between Celsius and Fahrenheit demonstrates that the two units are directly proportionate to one another. It suggests that as the temperature rises on the Celsius scale, the temperature rises as well on the Fahrenheit scale. Fahrenheit and Celsius have a proportionate relationship. Both follow the various unit differences between each scale and have varying water freezing points. There is one place where the Fahrenheit and Celsius scales meet. At both -40 °C and -40 °F, they are equal. To determine when two temperature scales are equal to one another, the straightforward technique is to set the

To learn more about temperature measured  refer to

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Answer:

x=8 and y=53

Step-by-step explanation:

Given function:

Find x:

y is:

Therefore, x=8 and y=53..

Answer:

(-2, -6)

Step-by-step explanation:

Slope: 1

Answer:

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:$5.50

Step-by-step explanation:

22.50 -11.50= 11

soda and popcorn (2 items)

11/2= 5.50

Answer: x is -3

Step-by-step explanation: if 1 is equal to 4, 4 has to be decreased down to 1 so -3 plus positive 4 is 1 so 1=1

Answer:

16. x = 16

17. x = 11

Step-by-step explanation

15.

a. 58* Angle 2 = Angle 4 Angle 1 + Angle 2 = 180*

b. 58* Angle 3 + Angle 4 = 180*

c. 58* Angle 1 = Angle 6

d. 58* Angle 6 = Angle 8

e. 122* Angle 4 = Angle 2

f. 122* Angle 4 = Angle 5

g. 122* Angle 5 = Angle 7

16. Alternate Interior angles. They're equal.

10x - 29 = 8x + 3

2x = 32

Divide by 2 to isolate x

x = 16

double check by putting 16 in for x to see if original statement is true

10 (16) - 29 = 8 (16) + 3

160 - 29 = 128 +3

131 = 131

17. Consecutive interior angles. They equal 180*

13x - 26 + 5x + 8 = 180

18x - 18 = 180

18x = 198

Divide by 18 to isolate x

x = 11

Double check

13 (11) - 26 + 5 (11) + 8 = 180

143 - 26 + 55 + 8 = 180

180 = 180

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  (B)

Step-by-step explanation:

x is on the left side of the < symbol, so the shaded portion of the line will be on the left side of the boundary dot.

The boundary dot is plotted at the constant, which is 1/2 = 2/4. That plot is shown in selection B.

_____

Additional comment

I like to write inequality solutions using the < or ≤ symbols because the relative positions of numbers and variables match their relative positions on the number line. In this problem, we have x < 1/2, so the shaded portion of the line is on the left of the boundary dot, just as x is on the left of 1/2 in the inequality.

Answer:

I believe the quiz had 18 questions, with a 14:4 ratio

Answer:

AC, CB

Step-by-step explanation:

A segment needs two endpoints. The third answer is the only one that can contain two segments, other answers contain single points.

Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

[tex]\angle DE F\cong \angle GEH[/tex]          (Common angle)

[tex]\angle EDF\cong \angle EGH[/tex]          (Corresponding angle)

[tex]\Delta DE F\sim \Delta GEH[/tex]             (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

[tex]\dfrac{DE}{GE}=\dfrac{DF}{GH}[/tex]

[tex]\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}[/tex]

[tex]\dfrac{x+14}{x+5}=2[/tex]

[tex]x+14=2(x+5)[/tex]

[tex]x+14=2x+10[/tex]

Isolating variable terms, we get

[tex]x-2x=-14+10[/tex]

[tex]-x=-4[/tex]

[tex]x=4[/tex]

Therefore, the value of x is equal to 4.

Answer:

Mean Absolute Deviation (MAD): 3.0666666666667

Step-by-step explanation:

Answer:

15 CM

Step-by-step explanation:

Both sides are same length proven by the same angles making botrh sides 15 cm

Answer:

21) 27

22) 2 (the third one has a few people in it)

Step-by-step explanation:

9 dozen= 12 to a dozen

108

=27

Answer:

21. 27 22. 6

Step-by-step explanation:

21 is 27 because 9 times a dozen (12) times equals 108.  !08 splited by 4 is 27.  

For 22 112-70 is 42.  There are 7 seats per row so 42/7= is 6 empty rows.

Answer:

Yes plz!

Step-by-step explanation:

Answer:

yeah sure i'll take some

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

4(2x-1)=36

first distribute

8x-4=36

add 4 to both sides

8x=40

divide both sides by 8

x=5

Answer:9ft

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

C=3.14*32=100.48mm

Step-by-step explanation:

Answer:

100.48

Step-by-step explanation:

[tex]C=\pi D[/tex]

So,

C=3.14*32=100.48

Answer:

A. (-3, 5.7)

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The ordered pair that satisfies the given inequality is (–3, 5.7).

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The ordered pair that satisfies the given inequality is the solution set of the inequalities, the inequality can be written as,

[tex]4y^2+x-32y+68 > 0\\\\4y^2-32y+68 > -x[/tex]

Now, let's substitute the value of the first ordered pair, (–3, 5.7),

[tex]4(5.7)^2-32(5.7)+68 > -(-3)\\\\129.96-178.24+68 > 9\\\\19.72 > 9[/tex]

Since the inequality is satisfied the ordered pair is a set of solutions.

For the second ordered pair (-5.9,4),

[tex]4y^2-32y+68 > -x\\\\4(4)^2-32(4)+68 > -(-5.9)\\\\64-128+68 > 5.9\\\\4 > 5.9[/tex]

Since inequality is not true it is not the solution to the problem.

For the third ordered pair (-8, 5),

[tex]4y^2-32y+68 > -x\\\\4(5)^2-32(5)+68 > -(-8)\\\\64-128+68 > 8\\\\8 > 8[/tex]

Since inequality is not true it is not the solution to the problem.

For the fourth ordered pair (-13, 3),

[tex]4y^2-32y+68 > -x\\\\4(3)^2-32(3)+68 > -(-13)\\\\64-128+68 > 13\\\\8 > 13[/tex]

Since inequality is not true it is not the solution to the problem.

Learn more about Inequality:

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Answer:

y = 2.0x + 0.6

Step-by-step explanation:

Dino's data:

X _____ Y

1 ______ 1

2 ______5

3 ______6

4 _____ 10

5 _____ 13

6 _____ 13

7 _____ 14

8 _____ 16

9 _____ 18

10 _____21

Using the linear regression calculator, the line of best fit for the data is :

y = 2.0X + 0.6

Where ;

Slope = 2 ; intercept = 0.6

Answer:

y=4

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

-9y = -36

y = -36/-9

y=4