How do you solve for (w-2)²-63=0 where w is a real number

Answers

Answer 1
(w-2)^2 = 63

FOIL left hand side:
(w-2)^2 = w^2 - 4w + 4

So,
w^2 - 4w + 4 = 63
w^2 - 4w - 59 = 0

Then use quadratic equation to get values of w = 2 + 3*root(7) and w = 2 - 3*root(7).
±
3

7

Related Questions

can someone solve this 6 :7.4×10^4, 7 : 3.54"×10^5, 8 : 9.03×10^5,. 9 :5.7 ×10^0
please​

Answers

6: 74000

7: 354000

8: 8903000

9: 57

a cargo ship is 704 feet long. if 1.1 inch represents 13 feet, how long is the ship in the model? round your answer to the nearest tenth if needed.

Answers

Answer:

59.57

Step-by-step explanation:

704 / 13

= 54.1538461538

54.1538461538 x 1.1

= 59.5692307692

Write each equation in slope-intercept form. Under line the slope and circle the y-intercept in each equation.


5x+3y=30

This is one RSM


The y-intercept is (_,_)

Answers

Answer:

y = -5/3(x) + 10

Step-by-step explanation:

Slope intercept form is in the form of y = mx + b

M is the slope and b is the y-intercept.

We want to isolate the y in this equation so we subtract both sides by 5x and get.

3y = -5x + 30

Now we can divide both sides by three to leave y by itself.

y = -5/3(x) + 10

10 x 4 3/5 will give brainlist

Answers

Answer:

46

Step-by-step explanation:

10 x 4 3/5=46

Convert 4 3/5 into a top heavy fraction: 4 x 5 + 3 over 5 - 23/5

10 x 23/5 is the same as 10/1 x 23/5 = 230/5 which is 46

can anybody help me-

Answers

64 is the answer i think

Answer:

Gitana's work is right.

Step-by-step explanation:

Hope this helps!


Please help me with please solving for x and y

Answers

x = 13.5y = 3.5

Step-by-step explanation:

Solving for x

7x + 30 = 11x - 24

30 + 24 = 11 - 7x

54 = 4x

54/4 = x

27/2 = x

13.5 = x

Solving for y

5y + 38 = 17y - 4

38 + 4 = 17y - 5y

42 = 12y

42/12 = y

21/6 = y

7/2 = y

3.5 = y

Mr. Tom bought a Paqui #OneChip Challenge for $3.50. He also bought some water for $2.50 per gallon.
He spent $12 total. How many gallons of water did he buy?

Answers

Answer:

he bought 3 gallons of water

Answer:

3.4 gal

Step-by-step explanation:

12-3.50=8.50

8.50/2.50=3.40

Help pls ( I took a picture)

Answers

Answer:

The domain is [0,25] and the range is [0,20]

Step-by-step explanation:

The domain is the range of numbers and that the x value can be in the graph. The range is the range of numbers that the y value can be in the graph.

For the domain, the lowest x value you have is zero in the biggest x value is 25. since there is a dot when x is 25 and when x is 0 your answer is in brackets.

For the range, the lowest y value is 0 and the highest y value is 20. once again your answer is in brackets because there is a point when y is 0 and when y is 20.

is 0.11 closer to 0 or 0.5

Answers

Answer:

0.5 i think

Step-by-step explanation:

The numbers between 0 and 1 include 0, 0.1, 0.2, 0.3 …0.8, 0.9, 0.10, 0.11 You’re welcome !!

What is r in the Equation -


15r = 45/7

Answers

Answer:

3/7

Step-by-step explanation:

r=(45/7)(1/15)  divide by 15 on each side

r=45/105

r=3/7 simplify

The answer to your math problem is r=3/7

find the number which when divided by 2/5 will give 30






Answers

Answer:

The answer is 12. 12 divided by 2/5 will give us 30.

Step-by-step explanation:

To find this, simply do the opposite of dividing. Simply multiply 2/5 by 30, and you'll have your answer.

First, before we do this, however, we are going to find out what the decimal form of 2/5 is. To do this, divide the numerator by the denominator. In this case, 2 is the numerator and 5 is the denominator. So divide 2 by 5.

This gives us 0.4. So 2/5 in decimal form is 0.4. Now multiply 0.4 by 30 to find your answer.

30*0.4=12

So the answer is 12. However, rememeber that you always need to check your work. So lets check.

12/30=0.4

0.4=0.4

Do we get a true statement? Yes, so we are correct.

The number you are looking for is 75.

To find the number that, when divided by 2/5, gives 30, we can set up the following equation:

x / (2/5) = 30

To solve this equation, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:

x = 30(5/2)

Simplifying the right side of the equation:

x = 150/2

Dividing 150 by 2:

x = 75

Therefore, the number you are looking for is 75.

Learn more about equations click;

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Someone help plz make sure it’s right will mark brainiest:)

Answers

Answer:

y = 1/7x -16/7

Step-by-step explanation:

We can point slope form

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

y - -2 = 1/7(x-2)

y+2 =  1/7(x-2)

Distribute

y+2 = 1/7x - 2/7

Subtract 2 from each side

y+2-2 = 1/7x -2/7-2

y = 1/7x -2/7 - 14/7

y = 1/7x -16/7

Determine the relationship between the two triangles and whether or not they can be proven to be congruent. what's the relationship ​

Answers

Answer:

ASA

Step-by-step explanation:

Look at both triangles.There is one side of each triangle given same Two adjacent angles to those sides are congruent.So bith triangles are congruent by Angle-side-Angle congruency

Answer:

AAS

Step-by-step explanation:

We can observe two angles and a non-included side are congruent.

This is called AAS congruence

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

The following graph shows how many gallons of water leaves a bucket every hour.

- write the slope-intercept equation, and find the constant rate of change and the vertical intercept of the line. Explain how they are related to this situation

Answers

Answer:

I was not able to see the picture, i am so sorry

Let C(x)=600+60x be the cost to manufacture x items.Find the average cost per item, to the nearest dollar, to produce 30 items.


A) $315
B) $80
C)$1320
D)$330

Answers

Answer:

Correct answer: B: $80

Step-by-step explanation:

Given the function, C(x) = 600 + 60x, where:

C(x) = represents the total cost to manufacture x items

    x = number of manufactured items

Substitute x = 30 into the given function:

C(30) = 600 + 60(30)

C(30) = 600 + 1800

C(30) = 2400 ← This represents the total cost to produce 30 items.  We need to find out the average cost per item.

Thus, we need to divide $2,400 by 30 to get the average cost of producing each item:

$2,400 / 30 = $80

Therefore, the correct answer is B) $80

Please mark my answers as the Brainliest if you find my explanations helpful :)

Need the answer for!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

not sure about the explanation

Solve the proportion)
((will mark brainliest))


5/1-9=8/r+5

Answers

Answer:

I think r = 89/5 as the answer

Answer:

r= - 8/9

5 - 9= 8/r + 5

-4 = 8/r +5

r= -8/9

plz mark me brainliest.

Tranh has a total of 240 basketball cards. He has filled 3 identical albums and has 150 cards remaining. How many cards are in each album?

Answers

Answer:

there are 30 in each album

Step-by-step explanation:

A train goes at a constant speed of 150 miles in 2.5 hours. How long will it take for the train to go 360 miles

Answers

Answer: 21,600 miles

Step-by-step explanation:

150/2.5 = 60

360x60 = 21,600 miles

What is the sum of the first five prime numbers?
18
26
28
39

Answers

Answer:

Thier is only 4 prime numbers that you have thier lol. But the sum of those are 111.

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

i used a calculator

(03.01 LC) Which set represents the range of the function shown? {(-1, 5), (2,8), (5, 3), (13,-4)}
A {-4, -1, 2, 3, 5, 5, 8, 13}
B {-4, 3, 5, 8]
C {(5, -1), (8, 2), (3,5), (-4, 13)}
D{-1, 2, 5, 13)​

Answers

Answer:

The answer is B

Step-by-step explanation:

As the range of the function is the anwser of the function which is the y-value.

Thd domain are the x-values /inputs of the function

tell whether (-1,-4) is a solution of -2x-y>6

Answers

Answer:

You need to solve and get they x,x or x,y or y,y

(2^5/x^2)^4

Plz help T-T

Answers

Answer:

can u write it again please?

Step-by-step explanation:

Answer:

4 × ( 10 × [tex](\frac{2}{x} ) ^{n} )^{n}[/tex]

Differentiate w.r.t. x

-80 × [tex](\frac{n}{x} )^{2}[/tex] × ([tex]\frac{20 }{y}[/tex]× [tex](\frac{2}{x} ) ^{n[/tex]/ x ) [tex]^{n-1}[/tex]

                         

Step-by-step explanation:

Approximate the value of 44 squared to the nearest hundredth

Answers

Step-by-step explanation:

176

to th nearest hundredth is 100

how to solve

-3(m-2)=-9

m= ?

Answers

9514 1404 393

Answer:

  m = 5

Step-by-step explanation:

Recognize that the number on the right has -3 as a factor. Divide both sides of the equation by -3.

  m -2 = 3

Add 2 to both sides of the equation:

  m = 5

_____

Additional comment

Perhaps the conventional approach is to eliminate parentheses, then solve the resulting 2-step linear equation.

  -3m +6 = -9

  -3m = -15 . . . . . . subtract 6 (step 1)

  m = 5 . . . . . . . . . divide by the coefficient of m (step 2)

1. How many triangles are created in the following situation:

Answers

Answer:

Step-by-step explanation:

We can use:

[tex]\frac{12}{sin35} = \frac{16}{sinB}[/tex]

Solve for sinB

[tex]sinB=\frac{16(sin35)}{12}[/tex]

The answer we get from that is: 0.76

With that answer, we can do:

[tex]B=sinx^{-1}(0.76)[/tex]

So, since the calculator did NOT put out an error, there is 2 such triangles.  

Only 1 triangle can be formed by angle m∡A = 35°, a = 12, b = 16.

How many triangles are created in the following situation:m∡A = 35°, a = 12, b = 16. is to be determined.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.

Here, the data given is m∡A = 35°, a = 12, b = 16,
Since one angle m∡A = 35° is given between the two sides a = 12, b = 16,.
There is only one triangle that can be made through the given data.
because when we plot the measures only one side can be added without calculation in order to complete the triangle.

Thus, only 1 triangle can be formed by m∡A = 35°, a = 12, b = 16.

Learn more about triangles here:
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Is this right? I tried I don’t get math

Answers

its right!!

you're doing great :)

I really need help with this...

Answers

Step-by-step explanation:

︎Olivia Rodrigo - traitor (Lyric Video)| Jaeguchi

50 POINTS PLEASE HELP

In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.

sin26∘≈0.44

cos26∘≈0.90

tan26∘≈0.49

Triangle D E F with measures as described in the text.


© 2019 StrongMind. Created using GeoGebra.


What is the measurement of EF?

If necessary, round your answer to two decimal places, like this: 42.53

Answers

Answer:

EF = 1.98

Step-by-step explanation:

Sin = opposite/hypotenuse; Cos = adjacent/hypotenuse ;

Tan = opposite/adjacent

DF = 4.5 which is the hypotenuse.  So using the equation for Sin

 Sin 26° = opposite/hypotenuse

  Sin 26° = EF/4.5

  .44 = EF/4.5   solving .44(4.5) = EF ;  1.98 = EF

2t/t-5 + 1/t-3 = 3 Help..​

Answers

Step-by-step explanation:

Given equation is 2t/(t-5) + 1/(t-3) = 3

=> [2t(t-3)+1(t-5)]/(t-5)(t-3) = 3

=> (2t²-6t+t-5)/(t²-5t-3t+15) = 3

=> (2t²-5t-5)/(t²-8t+15) = 3

=> 2t²-5t-5 = 3(t²-8t+15)

=> 2t²-5t-5 = 3t²-24t+45

=>3t²-24t+45-2t²+5t+5 = 0

=> t²-19t+50 = 0

The standard form is t²-19t+50 = 0

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