Viet solved a quadratic equation. His work is shown below. In which step did Viet make an error? Step 1,2,or 3?

Answer:

r = 3m

Step-by-step explanation:

Formula for the volume of a sphere: V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

We want to find the radius so we use algebra to rearrange the equation to make the radius (r) the subject of the equation

Divide both sides by [tex]\frac{4}{3}[/tex]

[tex]\frac{3V}{4}[/tex] = [tex]\pi[/tex][tex]r^{3}[/tex]

Divide both sides by [tex]\pi[/tex]

[tex]\frac{3V}{4\pi }[/tex] = [tex]r^{3}[/tex]

Take the cube root of both sides

[tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex]= r

Substitute V = 36[tex]\pi[/tex] into the equation

r = [tex]\sqrt[3]{\frac{3(36\pi) }{4\pi } }[/tex]

Expand the bracket

r = [tex]\sqrt[3]{\frac{108\pi }{4\pi } }[/tex]

Divide 108[tex]\pi[/tex] by 4[tex]\pi[/tex] (For this, the two [tex]\pi[/tex] in the numerator and denominator cancel each other out, and you only need to divide 108/4)

r = [tex]\sqrt[3]{27}[/tex]

The cube root of 27 is 3, because [tex]3^{3}[/tex] = 3 x 3 x 3 = 27

r = 3

Answer:

a. X = (25.92 - 2.57) ÷ 5

Step-by-step explanation:

shld be a divide sign instead of a equal sign before 5

Answer:

6. x = 3 7. x = 120 8. x= -5

Step-by-step explanation:

the first question is x(-4) + 3 = -9

find the value of x :

-4x + 3 = -9

we can subtract 3 on both sides since we have a value of 3 on the left, which will cancel the value out.

-4x = -12

-4(3) = -12

therefore the answer to problem 6 is x=3

and for 7 :

x / 6 - 9 = 11

we can add 9 on both sides which will cancel it out;

x/6 = 20

120/6 = 20

therefore the answer to the question 7 is 120.

For problem 8 it says :

-3x -5 = 10

we can add 5 on both sides to get:

-3x = 15

-3(-5) = 15

therefore the answer to problem 8 is -5

Answer:

2l + 2w is the formula for perimeter. l = 2w + 6 can be written as "the length is 6 feet more than two times its width."

The answer is B.

Answer:

B

Step-by-step explanation:

Answer:

Look at the attachment

Answer:

Explanation:
I got it wrong the first two times and this is the answer it gives you.

Answer:

This expression contains a one root  (x= -10) of multiplicity 9

Step-by-step explanation:

Notice that this polynomial is given in factor form, since it is equivalent to 9 products of the same factor (x+10):

[tex](x+10)^9=(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)[/tex]

Therefore, there is a single root x = -10, since when x=-10 each of these binomial factors result in a zero.

In mathematical terms, such type of root is said to have multiplicity. And in this case, the multiplicity is "9" (the number of equal binomial factors of the polynomial form).

Answer:

9

Step-by-step explanation:

(x+10)^9 is the 9-degree polynomial so it has 9 roots

if it is equal to zero then it has 9 equal roots of x= -10

Answer:

b<58/5

Step-by-step explanation:

Answer:

3✓5 or -3✓5

Step-by-step explanation:

Taking the square root of both sides, we get

x = ±3✓5

Answer:

The answer is the letter A

Answer:

Step-by-step explanation:

Two angles are supplementary when their sum is 180

∠AXB + ∠BXC = 180°   {Supplementary angles}

8x + 10 + 2x - 20 = 180    

Add the like terms

10x - 10 = 180

10x = 180 + 10

10x = 190

x = 190/10

x = 19°

∠AXB  = 8x + 10

          = 8 * 19 +10

          = 152 + 10

∠AXB  = 162

Answer:

180 degrees

Step-by-step explanation: the measure of angle AXB is ( a + a )  and the sum of the measured angles AXB and BXC  = 180 , so a + ( a + a) = 180.

both these angles add up to be 180 degrees because they are both supplementary angles  they both share the sides  of x  and b.  

if it confuses you, just use  a bit of repeated addition and multiplication

for example  : 30 + 30 + 30 + 30 + 30 = 5 x 30 which equals to 150

because you add 30 , 5 times .

Answer:

2

Step-by-step explanation:

7 1/2 - 5 1/2

7.5 - 5.5

2

Answer:

2121221

Step-by-step explanation:

Answer:

2.45 L in a week

Step-by-step explanation:

First find out how many ml he drinks in a week

350 mL * 7 days

2450 mL in a week

We know that 1000 mL = 1 L

2450 mL * 1 L /1000 mL = 2.45 L in a week

Answer:

2.450 litres.

Step-by-step explanation:

The answer is converting into Litres as we know 7 x 35 = 350-105 = 245++0 = 2450 ml

Answer:

8.7 plus b equals 54.6

Step-by-step explanation:

4(8.7) + b = 54.6.

b = 19.8 cm.

The sum of the sides = the perimeter = 3a + a + b = 54.6.  

Now a = 8.7, so:

3(8.7) + 8.7 + b = 54.6

4(8.7) + b = 54.6.

b = 54.6 - 4(8.7)

b = 19.8.

Answer: D.) 34.8 + b = 54.6

Step-by-step explanation: i hope this helps :)

Answer:

a and c

Step-by-step explanation:

∠ 1 = 60° ( vertical angle )

The sum of the 3 angles in a triangle = 180°, thus

∠ 2 = 180° - (60 + 70)° = 180° - 130° = 50° → a

(7)

∠ 3 = 180° - (60 + 40)° = 180° - 100° = 80°

∠ 3 and ∠ 4 are adjacent angles and supplementary , thus

∠ 4 = 180° - ∠ 3 = 180° - 80° = 100° → c

Answer:

45 combinations

Step-by-step explanation:

15*3= 45

Answer:

the length is 50 gallons

Step-by-step explanation:

Answer:

(0,4)

Step-by-step explanation:

4x+5y=20

5y=20-4x

y=4-4/5x

y-intercept means a point on the y-axis(x=0)

y=4-4/5x

y=4-4/5(0)

y=4

Therefore, y-intercept is at (0,4)

Step-by-step explanation:

Problem 5:

Since parallelogram ABCD has to be a parallelogram, than that means that all opposite sides have to be congruent on it. One side has to be equivalent to the opposite side, so the equation on that line is equivalent to the equation on the opposite side, as well. EXAMPLE: 5x = 3x+10, which turns to 2x = 10, which turns to x = 5.

Problem 6:

Just like Problem 5, the opposite lines in the middle of the rhombus have to be congruent to one another since the given shape must be a parallelogram. So 4x = 8, and that turns to x = 2. I solved all of these problems using multi-step equations.

Hope this helped!

Answer:

Option B.

Step-by-step explanation:

The given exponential equation is

[tex]y=ab^x[/tex]  ...(1)

It is given that the graph of above equation passes through points (−3, 24) and (−2, 12).

The graph passes through the point (-3,24), so substitute  x=-3 and y=24 in equation (1).

[tex]24=ab^{-3}[/tex]   ...(2)

The graph passes through the point (-2,12), so substitute  x=-2 and y=12 in equation (1).

[tex]12=ab^{-2}[/tex]   ...(3)

Divide equation (3) by equation (2).

[tex]\dfrac{12}{24}=\dfrac{ab^{-2}}{ab^{-3}}[/tex]

[tex]0.5=b[/tex]

Substitute b=0.5 in equation (2).

[tex]24=a(0.5)^{-3}[/tex]

[tex]24=\dfrac{a}{(0.5)^{3}}[/tex]

[tex]24=\dfrac{a}{0.125}[/tex]

[tex]24\times 0.125=a[/tex]

[tex]3=a[/tex]

Substitute a=3 and b=0.5 in equation (1).

[tex]y=3(0.5)^x[/tex]

Therefore, the correct option is B.

Answer:

254.34 cubed centimeters

Step-by-step explanation:

Answer: A hope it helps

i think its a

Answer:

Step-by-step explanation:

2.25t + 5 = 13.5t + 14

5 = 13.5t + 14 - 2.25t

5 = 11.25t +14

2.25t + 5 = 13.5t + 14

2.25t + 5 -13.5t= 14

-11.25t +5 =14

2x + 6 = 3x -8

2x+6-3x=8

-x+6 =8

2x + 6 = 3x -8

6 =3x-8-2x

6= x-8

Feel free to ask for more if needed or if you did not understand something.

Answer:

[tex]\mathrm{B}[/tex]

Step-by-step explanation:

[tex]126+3x=180[/tex]

[tex]3x=180-126[/tex]

[tex]3x=54[/tex]

[tex]\frac{3x}{3}=\frac{54}{3}[/tex]

[tex]x=18[/tex]

Answer:

[tex]x = 18[/tex]

Step-by-step explanation:

Co - interior angles = 180°

[tex]3x + 126 = 180 \\ 3x = 180 - 126 \\ 3x = 54 \\ \frac{3x}{3} = \frac{54}{3} \\ x = 18[/tex]

Answer:

-1, -1/2

Step-by-step explanation:

The solution is the intersecting point. The two lines intersect at (-1, -1/2)

Answer:

1= 105, 2= 75

Step-by-step explanation:

Based on the 75 degree angle, since alternate interior angles have the same measurements, angle 2 will also measure 75 degrees. Furthermore, since angle 1 and angle 2 are supplementary angles, angle 1 will be 105 degrees because 105 + 75 is 180.

Answer:

= $5530  

Finds us 8.2%

Step-by-step explanation:

if 8.2 was recommended for utilities then we need to find 8.2% of $65,000

We take 65000 x 0.082 = 5530

Therefore the Mckinney's annual income is 65,000 less $5530 for utilities.

We write it as $5,530 in pen and type in whole amount as $ 5530.

Answer:

$5,330

Step-by-step explanation:

Read this statement:

"The McKinneys' annual income is $65,000."

Now, read this statement:

"Households with incomes from $50,000 to $70,000 spend 8.2% on utilities"

Since $65,000 is between $50,000 and $70,000, the percent you need is 8.2%.

8.2% of $65,000 = 0.082 * $65,000 = $5,330

Answer:

Option A

Step-by-step explanation:

An equilateral triangle's sides are equal to each other, and all their angles are equal.

The best option is A.

All angles in a equilateral triangle are 60° each. They are not obtuse.

All three angles of a equilateral triangle are congruent. Again, they all measure 60° each.

All sides of a equilateral triangle are congruent.