Which of the following is an extraneous solution

Answer:

y = - 2

Step-by-step explanation:

x = 0 lies on the y- axis

The only point on the y- axis where the function crosses is y = - 2

Then when x = 0, y = - 2

Answer:

y=2/3x-11/3

Step-by-step explanation:

line is parallel so the gradient will be the same ( m=2/3)

using the point (4,-1)

y=2/3x+c

-1=2/3*4+c

-1=8/3+c

c= -11/3

equation ---> y=2/3x-11/3

Answer:

[tex]180ft^{3}[/tex]

Step-by-step explanation:

Volume of a cone:

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

Take [tex]\pi[/tex] as 3, as mentioned in the question

'r' is 'radius' ⇒ {diameter is given so divide by 2: 12/2 = 6}

'h' is 'height'

[tex]V=(3)(6)^{2} (\frac{5}{3} )[/tex]

[tex]V=(3)(36)(\frac{5}{3} )[/tex]

[tex]V=108(\frac{5}{3} )[/tex]

{multiply 108 with 5 and then divide the answer by 3}

[tex]V=108[/tex] × [tex]5[/tex]

[tex]V=540[/tex]

[tex]V=540/3[/tex]

[tex]V=180ft^{3}[/tex]

Answer:

22.5÷5= 4.5

4.5×8= 36

Step-by-step explanation:

22.5÷5=4.5

4.5×8=36

Answer:

36.21024  km are in 22.5 miles you can figure this out because you multiply the length value by 1.609

Given:

The given equation is:

[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]

To find:

The solution for the given equation.

Solution:

We have,

[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]

On simplification, we get

[tex]\sqrt{2x}=2\sqrt{x-1}[/tex]

Squaring both sides, we get

[tex]2x=4(x-1)[/tex]

[tex]2x=4x-4[/tex]

[tex]2x-4x=-4[/tex]

[tex]-2x=-4[/tex]

Divide both sides by -2.

[tex]x=\dfrac{-4}{-2}[/tex]

[tex]x=2[/tex]

Therefore, the correct option is B.

Answer:

2000

Step-by-step explanation:

Since the number must be odd, it can have either 1, 3, 5, 7 or 9 in its one's place.

With a 4-digit number starting with 6, any of these digits can be in the one's place and it will still be greater than 6,000.

For the one's place, since we can choose from 5 digits, we have ⁵P₁. In the thousands place, we have one digit which is 6. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively.

So, the total number of 4 digit odd numbers greater than 6000 starting with 6 are 1 × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 1 × 10 × 10 × 5 = 500 numbers.

For the thousands place, we are left with the digits 7, 8 and 9. So, to arrange these 3 digits in the thousands place, we have ³P₁. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively. For the one's place, since we can choose from 5 digits, we have ⁵P₁.

So, the total number of 4 digit odd numbers greater than 6000 starting with 7, 8 or 9 are  ³P₁ × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 3 × 10 × 10 × 5 = 1500 numbers.

So, the total number of 4-digit numbers greater than 6000 that can be constructed is 500 + 1500 = 2000 numbers.

Answer:

B

Step-by-step explanation:

Firstly, we solve for x

-x ≥ 2 * 4

-x ≥ 8

Multiply both sides by -1

x ≤ -8

So we look at the inequality represented by this;

We can see that the correct inequality is option B;

Answer:

Height of the goalpost is 9.25 m.

Step-by-step explanation:

As per the rule of reflection in physics,

Angle of incidence = Angle of reflection

As we can see in the picture attached, both the angles (θ) are equal.

m∠ACB = m∠ECD = 90° - θ

m∠ABC = m∠ADC = 90°

Therefore, both the triangles ΔABC and ΔEDC will be similar.

And by the property of similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{ED}= \frac{CB}{CD}[/tex]

[tex]\frac{1.75}{ED}=\frac{2.6}{13.75}[/tex]

ED = [tex]\frac{1.75\times 13.75}{2.6}[/tex]

ED = 9.25 m

Height of the goalpost is 9.25 m.

Answer:

Enlargement

k =[tex]\frac{18}{4}[/tex] =  [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

k = [tex]\frac{new}{old}[/tex]

If k > 1 then its an enlargement.

If k < 1 then its a reduction

Answer:

radius = 2

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 4 ← is in this form

with r² = 4 ⇒ r = [tex]\sqrt{4}[/tex] = 2

centre (0, 0 ) and radius = 2

Answer:

C

Step-by-step explanation:

its asking for y, on the graph, the line is placed on point 4

Answer:

Using the net below, find the surface area

of the pyramid.

sto

5 in

5 in.

Surface Area

=

[?] in?Step-by-step explanation:

Step-by-step explanation:

here is the answer to your question

Answer:

Step-by-step explanation:

I would start from the beginning and find the slope myself, just so I know what's going on (as opposed to being dropped in the middle of the problem). The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and for us:

[tex]m=\frac{5-3}{4-3}=2[/tex] so the slope is indeed 2. Now we need to write the equation in slope-intercept form. I find it easier to first write the equation in point-slope form and then solve it for y. Point-slope form is

[tex]y-y_1=m(x-x_1)[/tex] where m is the slope (2) and x1 and y 1 are from one of the coordinates (whichever one you want; as long as you do the math correctly, you will NOT get an incorrect answer. In other words, you can't pick the "wrong" point to use to write the equation.) I'm going to use (3, 3):

y - 3 = 2(x - 3) and

y - 3 = 2x - 6 and

y = 2x - 6 + 3 so

y = 2x - 3 and that's your equation. Of course, you will enter a (-3) in that box with the ? in it.

Answer:

wow thats very interesting

Step-by-step explanation:

whats ur question

Answer:

C

Step-by-step explanation:

AB + BC = AC , that is

5x + 4 + 4x - 8 = 23

9x - 4 = 23 ( add 4 to both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Then

AB = 5x + 4 = 5(3) + 4 = 15 + 4 = 19 → C

Answer:

Step-by-step explanation:

Second hand on a clock rotates at rate 360 degrees per 60 seconds.

360 degrees - 60 sec

x degrees - 15 sec

90 clockwise rotation (none hand of a clock rotates counter-clockwise :))

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

Answer:

27/10 is the value of (3/10)^3.

Step-by-step explanation:

It is also written as 0.027

Answer:

B) Y=-2x+1

Step-by-step explanation:

(-2,5)(2,-3)

M= -8/4 = -2

y = -2x + b

5 = -2(-2)+ b

B= 1

Y=-2x+1

Answer:

f=x−32

Step-by-step explanation:

Subtract 3232 from both sides.

Answer:

f=32.2m

Step-by-step explanation:

got it right on edge

Answer:

no

Step-by-step explanation:

substitute the (x,y) values into the inequality.

4(-4)+5(2) less than or equal to -7

-16+10≤-7

-6≤-7 not a valid answer so ((-4,2) is not a solution

Answer: 7(n + 4)

Step-by-step explanation:

I'm not sure how to explain this one, but I'll try:

Seven times the sum of a number, n, and four

7 times n + 4   (sum means addition)

Answer:

[tex]y = \frac{2}{7} x[/tex]

Step-by-step explanation:

The slope is

[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]

The y-intercept is 0

The equation of line between the points is y = ( 2/7 )x

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 7 , 2 )

Let the second point be Q ( 0 , 0 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2/7 )

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 0 = ( 2/7 ) ( x - 0 )

y = ( 2/7 )x

Hence , the equation of line is y = ( 2/7 )x

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

Answer:

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

42+12= 63

63/7=9

9*2=18

Answer:

18

Step-by-step explanation:

plato/edmentum

Answer:

Hi there!

Recall that slope-intercept form is:

y = mx + b

Where m = slope

In this instance, we are given a slope of 4,

therefore:

y = 4x + b

Substitute in the x and y coordinates of the point given:

0 = 4(3) + b

0 = 12 + b

Substract 12 from both side:

-12 = b

Therefore, the equation would be:

y = 4x - 12

Graph the equation by finding x and y values or using a calculator:

x = 0, y = 4(0) - 12 = 12 (0, 12)

x = 1, y = 4(1) - 12 = - 8 (1, -8)

x = 2, y = 4(2) - 12 = - 4 (2, -4)

x = 3, y = 4(3) - 12 = 0 (3, 0)

And so forth:

Thanks<8