Consider the quadratic equation x2+8x+9=0. Which of the following is the correct form after substituting a, b, and c into the Quadratic Formula?

Answer:

[tex] V_1 : V_2= 2197 : 729[/tex]

Step-by-step explanation:

Let the volumes of both the spheres be [tex] V_1, \:V_2[/tex] and their radii be [tex] r_1, \:r_2[/tex] respectively.

[tex] \huge r_1 : r_2= 13 : 9[/tex] (given)

[tex] \implies\huge \frac{r_1}{r_2}= \frac{13}{9}.....(1)[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{\cancel {\frac{4}{3} \pi} r_1^3}{\cancel {\frac{4}{3} \pi} r_2^3}[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{ r_1^3}{r_2^3}[/tex]

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{ r_1}{r_2}\bigg) ^3..... (2)[/tex]

From equations (1) & (2), we have:

[tex]\huge \frac{V_1}{V_2}=\bigg(\frac{13}{9}\bigg) ^3[/tex]

[tex] \huge \frac{V_1}{V_2}=\frac{2197}{729}[/tex]

[tex] \huge \therefore V_1 : V_2= 2197 : 729[/tex]

Thus, the ratio of the volumes of two spheres would be 2197 : 729.

Answer:

2197:729

hope it helps

please mark brainliest

Answer:

10

Step-by-step explanation:

Using $A^2 + B^2 = C^2$, we know that $A = 6$ and $B = 8$. $8^2 = 64$ and $6^2 = 36$. $64 + 36 = 100$, and $√100 = 10$.

Answer:

Step-by-step explanation:

use the pythagorean theorem.

a^2+b^2=c^2

6^2+8^2=c^2

36+64=100

√100=10

***IMPORTANT. don't forget to square root the answer you get from a^2+b^2. you are putting the answer in squared form which isn't going to be correct, so don't forget to root it before you enter.

Answer:

6 ft

Step-by-step explanation:

The triangle CDE is half of the size of triangle ABC, so if you match up the corresponding sides, DE is half of AC. AC is 12 so DE is 6.

hope is helped!

Answer:

A and E, The first and the last

Answer:

Your answer should be C.

Step-by-step explanation:

In order to make 150% you need a whole which represents the 100%. Which leaves B out of the question. A Is not close to half of a bar, which you can also eliminate. C and D are somewhat the same but it has to have the same amount of boxes shaded and unshaded, in this case D is 4 shaded and 2 unshaded which is wrong. So, your answer is C because there is 3 shaded and unshaded boxes in the model, hope this helps!

The diagram that represents 150%​ should be C.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

In order to make 150% we need a whole which represents the 100%. Which leaves B out of the question.

Option A Is not close to half of a bar, which we can also eliminate.

Option C and D are somewhat the same but it has to have the same amount of boxes shaded and unshaded,

In this case D is 4 shaded and 2 unshaded which is wrong.

Therefore, the answer is C because there is 3 shaded and unshaded boxes in the model.

Learn more about percentages;

brainly.com/question/24159063

#SPJ2

Answer:

1 7/10

Step-by-step explanation:

Given that:

Weight of bag 1 = 2/5 pounds

Weight of bag 2 = 7/10 pounds

Weight of bag 3 = 3/5 pounds

Total weight of the three bags :

2/5 + 7/10 + 3/5

Take the lcm of 5 and 10

Lcm of 5 and 10 = 10

(4 + 7 + 6) / 10

17 /10

= 1 7/10

Answer:

1

Step-by-step explanation:

Answer:

G. 113

Step-by-step explanation:

We know that the diameter = 12, so the radius = 6.

area of circle = πr²

                       = π (6²)

                       = 36π

                       = 113.0973355 . . .

                        ≈ 113 ft²

Answer:

The answers are in the attachment above

good day mate

Angle ∠B is a right-angle then the measure of angle ∠A is 43.6 degrees and the measure of angle ∠C is 46.4 degrees.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

The triangle ΔABC is given.

The angle ∠B is a 90°.

Then the value of the angle ∠C will be

[tex]\rm C = \sin ^{-1} \dfrac{21}{29}\\\\C = 46.40^o[/tex]

Then the value of the angle ∠A will be

     ∠A + ∠C = 90°

∠A + 46.40° = 90°

              ∠A = 43.6°

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

(4, -2)

Step-by-step explanation:

The midpoint of two points is found by averaging the X coordinates and averaging the Y coordinates to create a new pair.

X: (5+3)/2     = 4

Y: (-10+6)/2   = -2

Answer:

(4,-2)

Step-by-step explanation:

add the x and divide by two. do the same with the y. this is the same as finding the average

Answer:

[tex]M(7 ; 4)[/tex]

Step-by-step explanation:

midpoint -M

[tex]M(\frac{x_{1}+x_{2}}{2} ; \frac{y_{1}+y_{2}}{2} )[/tex]

[tex]M(\frac{9+5}{2} ; \frac{6+2}{2} )[/tex]

[tex]M(7 ; 4)[/tex]

Answer:

(7, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 6) and (x₂, y₂ ) = (5, 2) , then

midpoint = ( [tex]\frac{9+5}{2}[/tex] , [tex]\frac{6+2}{2}[/tex] ) = ([tex]\frac{14}{2}[/tex] , [tex]\frac{8}{2}[/tex] ) = (7, 4 )

Answer:36.36%

Step-by-step explanation:

%change=100 X (final-inital value) divided by initial

Answer:

4x-5y=10

Step-by-step explanation:

Answer: a = 3x

b = 2x+25

180 = a + b

180 = 3x + 2x + 25

180 = 5x + 25

155 = 5x

x = 31

a = 3*31 = 93

b = 2*31 + 25 = 87

Step-by-step explanation: pls mark as branlyest

Step-by-step explanation:

I really want to help you but there's no question.

Answer:

Yes, that is correct.

Step-by-step explanation:

Answer:

Change

Step-by-step explanation:

I call what I get back in return, change. The money we get back if you pay extra for something you buy.

Hope this helps!

Answer:

60°

Step-by-step explanation:

90°-30°…

according to your question

Answer:

(a) Similar polygons; scale factor is 2

(b) Similar polygons; scale factor is 1.5

Step-by-step explanation:

Given

See attachment for polygons

Required

Determine if they are similar or not

Solving (a): The triangle

The angles in both triangles show that the triangles are similar

To calculate the scale factor (k), we simply take corresponding sides.

i.e.

[tex]k = \frac{DF}{BA} = \frac{FE}{AC} = \frac{DE}{BC}[/tex]

[tex]k = \frac{6}{3} = \frac{8}{4} = \frac{10}{5}[/tex]

[tex]k = 2=2=2[/tex]

[tex]k = 2[/tex]

The scale factor is 2

Solving (b): The trapezium

The angles in both trapeziums show that the trapeziums are similar

To calculate the scale factor (k), we simply take corresponding sides.

i.e.

[tex]k = \frac{KN}{GJ}[/tex]

[tex]k = \frac{6}{4}[/tex]

[tex]k = 1.5[/tex]

The scale factor is 1.5

Answer:

x - 3 > 10

There were more than

13

board games in Anne's cabinet to start.

Step-by-step explanation:

The variable x represents how many board games were in Anne's cabinet to start. Since she has already picked out 3 board games to bring, the expression x–3 represents how many board games are still in the cabinet.

And, since Anne has more than 10 board games still in her cabinet, x–3 must be greater than 10.

This inequality shows the relationship.

x–3>10

Now, solve for x.

x–3

> 10

x–3+3

> 10+3 Add 3 to both sides

x

> 13 Simplify

So, there were more than 13 board games in Anne's cabinet to start.

Answer:

I need a picture of the figure to do it

The monthly payment for an $8,720 loan at 12.5 percent for 15 years is $312.84

The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

Given

P = $8720

r = 12.5% = 0.125
n = 12
t = 15

Substitute

A = 8720(1+0.125/12)^180
A = 1.8622 *  8720

A = $56,312.74

Monthly payment = 56,312.74/180
Monthly payment = 312.84

Hence the monthly payment for an $8,720 loan at 12.5 percent for 15 years is $312.84

Learn more on compound interest here: https://brainly.com/question/24924853

Answer: the length of the base is 50 cm

Step-by-step explanation:

Answer:

(x+1)^2 + y ^2 = 16

Step-by-step explanation:

center: (-1,0)

radius=4

(x-h)^2 + (y-k)^2 = r^2

(h,k) = center

plug in the center

(x+1)^2 + (y+0) ^2 = r^2

r^2 = (4)^2

r^2=16

(x+1)^2 + y^2 = 16