The bionomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor

Answer:

I think your answer is correct already. You just have to put your latus rectum, directrix, and focus into your drawing. :)

for asymptotes:

Let's change the centers into (-3, 2). Therefore, (y-2)² - (x+3)²/16 = 1

To get the asymptotes, let's equate the equation to zero (0) instead of one (1).

(y-2)² - (x+3)²/16 = 0

Notice that this equation is the difference of two squares.

Let x² = (y-2)² and y² = (x+3)²/16

Therefore, we have x² - y² =0

The factors of two squares are:

(x+y)(x-y)=0

Then, equating each factor to zero:

x+y=0

x-y=0

Substituting the real equations:

» (y-2) + (x+3)/4 = 0

y-2 = - (x+3)/4

y= -(x+3)/4 + 2

» (y-2) - (x+3)/4 = 0

y-2 = (x+3)/4

y= (x+3)/4 +2

Answer: y-9x+3

Step-by-step explanation:

Answer:

524,288

Step-by-step explanation:

1. 8

2. 8 x 4 = 32

3. 32 x 4 = 128

4. 128 x 4 = 512

5. 512 x 4 = 2,048

6. 2,048 x 4 = 8,192

7. 8,192 x 4 = 32,768

8. 32,768 x 4 = 131,072

9. 131,072 x 4 = 524,288

Answer: So Y= -5/8 + 9

Step-by-step explanation:

The equation's parallel lines will have the same slope but a different y-intercept.

So

y = -5/8 + b

any number you plug into b can make the equation parallel to y=-5/8x+6

I'll choose 9 as an example.

Answer:

Quadrant 2

Step-by-step explanation:

Take a look at the picture I added it should help you on futures questions like this :)

Answer:

Answer: A and B.

Step-by-step explanation:

Supplementary angles are a pair of angles that add 180 degrees.

A. Show two angles that form a 180 degree angle, so they are supplementary.

B. This angles add 180 degrees, so they are supplementary.

C. The two angles add 90 degrees, so they are complementary, not supplementary.

D. This angles add 90 degrees, so they are complementary, not supplementary.

Answer and Step-by-step explanation:

Answer:

Answer: A and B.

Bit by bit clarification:

Valuable points are a couple of points that add 180 degrees.

A. Show two points that structure a 180 degree point, so they are beneficial.

B. This points add 180 degrees, so they are beneficial.

C. The two points add 90 degrees, so they are reciprocal, not valuable.

D. This points add 90 degrees, so they are reciprocal, not beneficial.

Answer:

i need points so im r

sorry

Answer:

First of all this doesn't seem like a college question but- kay-  the answer is 17 and a half cups of raisins.

Step-by-step explanation:

First of all, we need to find how many cookies are in each batch. A dozen is 12, meaning that we do 8 times 12 to see how many cookies are in each batch. 8 times 12 equals 96. This means that Fraction Cafe only makes 1 batch of cookies a day. This makes the following question simple, all we need to do is multiply how many cups of raisins it takes to make one batch, which is 2 and one half, and multiply that by 7 because there are 7 days in a week. First I converted the fration into a decimal making the number 2.5 then, I used long multiplication and moved the decimal from the 2.5 over the the right 1 place. This now makes it 25 times 7. If you know your money values, you could just count 7 quarters because quarters are 25 cents (assuming you use a currency with quarters). 7 quarters are equal to $1.75 or in our case, just 175. But we're not done yet. Remember that decimal point that we moved out of the way? We have to move it back now, meaning that since we moved the decimal 1 place to the right, we have to move it 1 spot to the left making the answer 17.5, or 17 and one half.

Answer:

mean= 0.65

standard deviation=[tex]\sqrt{\frac{0.65(0.35)}{100}[/tex]

Step-by-step explanation:

The mean of the sampling distribution is 0.65 and the standard deviation is approximately 0.004779.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The mean of the sampling distribution of the proportion of citizens who are registered to vote is equal to the proportion of all citizens who are registered to vote, which is 65% = 0.65.

The standard deviation of the sampling distribution is equal to the standard error of the proportion, which can be calculated as follows:

standard error = √((65% × 35%) / 100)

= √((0.65 × 0.35) / 100)

= √(0.0227 / 100)

= √(0.0000227)

= 0.004779

Therefore, the standard deviation is approximately 0.004779.

Learn more about the standard deviation here:

brainly.com/question/14747159

#SPJ5

Answer:

1 and 2

Step-by-step explanation:

1 is 5 less than 3 times 2

3*2= 6

6-5= 1

1+2=3

Answer:

1 kilometer

Step-by-step explanation:

each kilometer is 1000 meters, so you would expect

1000 > 598

Answer:

13 reminder 7.

Step-by-step explanation:

Answer:

$138.78

Step-by-step explanation:

152.50 decrease 9% =

152.50 × (1 - 9%) = 152.50 × (1 - 0.09) = 138.775

Answer:

2)

[tex]2x + 6x + 8 = 32[/tex]

collect like terms

[tex]8x + 8 = 32[/tex]

move the constant to the right hand side and change its sign.

[tex]8x = 32 - 8[/tex]

Subtract the numbers

[tex]8x = 24[/tex]

Divide both sides of the equation by 8

[tex]x = 3[/tex]

Answer:

57%

Step-by-step explanation:

Given data

Cost price = $1.29

selling price= $3

Change= 3-1.29

Change=  $1.71

Hence the % increase

= 1.71/3*100

= 0.57*100

= 57%

Answer:

10 dollar bill, 5 dollar bill, and one dollar.

Answer:

(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism is given by:

[tex]V_R = A_{b}*h[/tex]

In which [tex]A_b[/tex] is the base area and h is the height.

Volume of a pyramid:

[tex]V_P = \frac{A_{b}*h}{3}[/tex]

Relation:

From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.

A rectangular prism has a volume of 198 cm³

So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.

The correct answer is given by option B.

Answer:

[tex]Solution,\\PQ = \sqrt{(1-3)^2+(3-1)^2} = \sqrt{2^2+2^2} = \sqrt{8} = 2\sqrt{2} \\P'Q' = \sqrt{(3-9)^2+(9-3)^2} = \sqrt{6^2+6^2} = \sqrt{72} = 6\sqrt{2}\\Also,\\RQ = \sqrt{(1-3)^2+(1-1)^2} = \sqrt{2^2} = 2\\R'Q' = \sqrt{(3-9)^2+(3-3)^2} = \sqrt{6^2} =6\\Again,\\PR = \sqrt{(1-1)^2+(3-1)^2} = \sqrt{2^2}=2\\P'R' = \sqrt{(3-3)^2+(9-3)^2} = \sqrt{6^2} = 6\\Here, P'R' = 3PR, P'Q'=3PQ ~and~ Q'R'=3RQ~\\In~other~words~each~side~of~triangle~P'Q'R' ~is~three~times~the~length~of~triangle~PQR.\\[/tex][tex]So,~the~algebraic~rule~of~diliation(enlargement)~is~(x,y)----(3x,3y)[/tex]

If my answer did not help you, comment below but please don't delete it.

Answer:

B)  -1,-4,-7,-10,........

The first five terms

-1,-4,-7,-10,........

Step-by-step explanation:

Explanation:-

Given that the explicit rule

           [tex]a_{n} = -3n +2[/tex]

Put n=1  

   ⇒ a₁ = -3(1) +2

       a₁  = -1

Put n=2

⇒  a₂ = -3(2)+2

      a₂ = -6+2

     a₂  = -4

Put n=3

  a₃ = -3(3)+2

  a₃ = -9+2

 a₃ = -7

Put n=4

a₄ = -3(4)+2

a₄ = -12+2

a₄ =-10

The first five terms

-1,-4,-7,-10,........

Answer: triangles are similar.

Step-by-step explanation:

Givn : OK = 3, OJ = 30, KN = 1, JM = 3#

Angle O is common in both the triangles.

Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.

That means

That means the three angles of triangle OKJ are equal to the corresponding three angles of triangle ONM.

Hence the to triangles are similar.

Answer:

-3f

0

f1

Step-by-step explanation:

(x = -3) f x -3 -3f

(x = 0) f x 0 = 0

x = 1) f x 1) f1

Answer:

100 miles

Step-by-step explanation:

Given :

To work :

speed = 50mph

Let time taken = x

From work :

speed = 40mph

30 minutes = 30/60 = 0.5

Time taken = x + 0.5

Distance from home to work :

Distance = speed * time

To work distance = from work distance

This can be algebraically expressed as :

50 * x = 40(x + 0.5)

50x = 40x + 20

50x - 40x = 20

10x = 20

x = 20/10

x = 2

Hence,

Distance = 50 * 2 = 100

The the distance from home to work = 100 miles

The distance from Michael home to work is 100 miles

Speed is the ratio of the total distance travelled to the total time taken. It is given by:

Speed = distance / time

Let d represent the distance from Michael home to work. Hence:

He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:

d/50 = (d - 20) / 40

40d = 50d - 1000

10d = 1000

d = 100 miles

The distance from Michael home to work is 100 miles

Find out more on speed at: https://brainly.com/question/4931057

Answer:

b is the answer I choose because it is going in-5

Answer:

B

Step-by-step explanation:

Answer:

I think it is a

Step-by-step explanation:

so sorry if it wrong i tried my best

Answer:

Well the answer is 0.54166666666

Step-by-step explanation:

7/8- 1/3= 0.54166666666

Answer:

Nothing.

Step-by-step explanation:

I believe you needed a picture.

Answer: 50 miles

Step-by-step explanation:

Because 25 x 2 = 50

and 1 inch is 25 miles and 2 inches is then 50 miles

Answer:

C. 50 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]=\frac{-5-5}{9-8}\\\\=\frac{-10}{1}\\\\=-10\\[/tex]

Point-slope form:

y - y1 = m(x - x1)

y - 5 = -10(x - 8)