Can you please help me with this question

Answer:

(x+6)^2+(y-5)^2 = 3.1622^2

Step-by-step explanation:

The equation for a circle can be represented by (x+_)^2+(y+_)^2 = r^2

So, we already can find this portion of the equation knowing the center of the circle:

(x+6)^2+(y-5)^2= r^2

Next, we find the distance between the two given points to find the radius.

6-5 = 1

-3--6 = 3

1^2+3^2 = c^2

1+9= c^2

10=c^2

3.1622...

So, now we know the full equation.

(x+6)^2+(y-5)^2 = 3.1622^2

Answer:

k = 0,  k = 4

Step-by-step explanation:

Given equation:

[tex]y=x^2+kx+3k+4x+4[/tex]

Rearrange into standard form [tex]ax^2+bx+c[/tex]:

[tex]\implies y=x^2+kx+4x+3k+4[/tex]

[tex]\implies y=x^2+(k+4)x+(3k+4)[/tex]

Therefore:

[tex]a=1, \quad b=(k+4), \quad c=(3k+4)[/tex]

If the vertex lies in the x-axis, then the quadratic has one (repeating) root at (x, 0).  Therefore, we can use the discriminant to find the values of k.

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}[/tex]

Therefore, set the discriminant to zero and solve for k:

[tex]\implies (k+4)^2-4(1)(3k+4)=0[/tex]

[tex]\implies k^2+8k+16-12k-16=0[/tex]

[tex]\implies k^2-4k=0[/tex]

[tex]\implies k(k-4)=0[/tex]

[tex]\implies k=0, k=4[/tex]

So the vertex lies in the x-axis when k = 0 or k = 4

Answer: 5.13 square cm

Step-by-step explanation:

Answer:

x^2 + x -20

Step-by-step explanation:

First, Multiply

(x)(x) + (x)(5) + (-4)(5) + (-4)(x)

Second, Add The Like Terms Together

X^2 + x + -20

Answer: Its  x^2 + 9x -20

Step-by-step explanation:

I did the test and got it wrong

Answer:

1001

Step-by-step explanation:

Answer:

8.3y

Step-by-step explanation:

-2.2y - 3.4y -1(-5.7y) + 8.2y

Apply rule -(-a) = a:

⇒ -2.2y - 3.4y + 5.7y + 8.2y

Factor out common term y:

⇒ y(-2.2 - 3.4 + 5.7 + 8.2)

Carry out operations in the parentheses:

⇒ y(8.3)

Write in standard form:

⇒ 8.3y

Answer:   [tex]\frac{5}{6}[/tex] of a yard

=========================================================

Explanation:

The longest is [tex]\frac{6}{6}[/tex] yard and the shortest is [tex]\frac{1}{6}[/tex] of a yard.

This is because 6 is the largest numerator and 1 is the smallest numerator.

Subtract the two fractions:

[tex]\frac{6}{6} - \frac{1}{6} = \frac{6-1}{6} = \frac{5}{6}[/tex]

We subtract the numerators while the denominator stays the same at 6 the entire time.

This is the difference between the longest and shortest ribbon, and the unit is in yards.

Answer:

5,000 is the correct answer

Answer:

the equation is 40/1 = 110/x hours

Step-by-step explanation:

It would take (2 hours and 45 min) for the train to travel this far

Answer:

x> 2

Step-by-step explanation:

Multiply by 6

2x6=12

5x+2>12

Move the 2 and make it subtraction

5x>12-2

Subtract 12-2=10

5x>10 divide by 5

X>2

Answer:

Last 3 digits 712 is divisible by 8 so 36712 is divisible by 8

Step-by-step explanation:

Answer:

If ABC and XYZ are two similar triangles, then by the help of below-given formulas, we can find the relevant angles and side lengths. ∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z AB/XY = BC/YZ = AC/XZ

Answer:

It's equal to itself. Here are the two ways to do this problem. ↓

Answer:

5

Step-by-step explanation:

So we have the set of numbers: 3,4,4,5,5,2,5,4,6,3,6,5,3.

Mode just means the most repeated number so let's sort them into groups.

(2) (3,3,3) (4,4,4) (5,5,5,5) (6,6).

the most repeated number is 5 which we see in the sequence about 4 times.

Step-by-step explanation:

solution is attached

Answer:

9 5/6

Step-by-step explanation:

6 1/2 + 3 1/3

= (6 + 3) + (1/2 + 1/3)

= 9 + 1 * 3/ 2 * 3 + 1 * 2/ 3*2

= 9 + 3/6 + 2/6

= 9 + 3+2/6

= 9 + 5/6

= 9 5/6

Hey there!

6 1/12 + 3 1/3

= 73/12 + 10/3

= 73/12 + 40/12

= 73 + 40 / 12 + 0

= 113 / 12

= 9 5/12

Therefore, your answer is:

• 113/12

OR
• 9 5/12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

[tex]y = \frac{x}{4} [/tex]

Step-by-step explanation:

we find the slope which also represented as m by the formula

[tex] m = \frac{(y2 - y1)}{(x2 - x1)} [/tex]

where from point (-4, -2) the x1 is -4 and the y1 is -2 and also from point (6, 3) the x2 is 6 and the y2 is 3.

so we substitute

[tex] \frac{(3 - ( - 2))}{(6 - ( - 4))} = \frac{(3 + 2)}{(6 + 4)} = \frac{5}{10} = \frac{1}{2} [/tex]

[tex]m = \frac{1}{2} [/tex]

after we have the slope, we calculate the equation of the line by using the formula

[tex](y - y1) = m(x - x1)[/tex]

but for now, we only have y1, m and x1 so can substitute

[tex](y - ( - 2)) = \frac{1}{2} (x - ( - 4))[/tex]

we have to get rid of the fraction 1/2 so we multiply it through by the denominator 2

[tex]2(y + 2) = 2 \times \frac{1}{2}(x + 4) [/tex]

we get

[tex]2(y + 2) = 1 \times (x + 4)[/tex]

so now we expand the brackets

[tex]2y + 4 = x + 4[/tex]

we make y stand alone by grouping liked terms.

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

we get

[tex]y = \frac{x}{4} [/tex]

Answer:

D. but there should be an 8.33

Step-by-step explanation:

The answer should be 8.33 but in here it only says 7 which is the closest because the unit rate would be 8.33 miles an hour.

Answer: 1 3/12

Step-by-step explanation: You can multiple straight accross and

5 is equivelant to 5/1 so we would do

5/1 * 3/12 = 15/12 which can get simplified into 1 3/12

Hopt this helps :D

3. First you should identify which line corresponds to which equation.

x + 2y = -8   ⇒   y = -x/2 - 4

is the line with slope -1/2 and intercept (0, -4), so the first inequality refers to the lower line in the graph.

For the inequality itself, the solution set that satisfies it is either the region above or below it. To decide which, pick any point in the plane and plug its coordinates into the inequality. The origin is a natural choice, since it's not on the line and working with 0s is easy.

In the first inequality, we have

x = 0 and y = 0   ⇒   0 + 2•0 = 0 < -8

which is not true. So (0, 0) is not in the solution set, and it stands to reason that any point in the same region will not be a solution. In other words, the region above the line x + 2y = -8 does not satisfy the inequality, while the one below it does.

In the second inequality,

x = 0 and y = 0   ⇒   2•0 + 0 = 0 ≥ -1

which is true. This means the region containing (0, 0) above the upper line solves the second inequality.

The solution to the system of inequalities is then the intersection of these two regions. (See attached; I've labeled the solution to the first inequality in blue, the solution to the second one in red, and the solution to both in green.)

All this work is kind of overkill for this particular question, though. All you really need to do is check if the given point satisfies the inequalities:

• (-5, 5) :

x = -5 and y = 5   ⇒   -5 + 2•5 = 5 < -8   ⇒   NO

• (2, -5) :

x = 2 and y = -5   ⇒   -2 + 2•5 = 8 < -8   ⇒   NO

• (-4, -6) :

x = -4 and y = -6   ⇒   -4 + 2•(-6) = -16 < -8   ⇒   MAYBE

x = -4 and y = -6   ⇒   2•(-4) + (-6) = -14 < -8   ⇒   YES

• (5, -7) :

x = 5 and y = -7   ⇒   5 + 2•(-7) = -9 < -8   ⇒   MAYBE

x = 5 and y = -7   ⇒   2•5 + (-7) = 3 < -8   ⇒   NO

4. x is the number of candy boxes with chocolates and y is the number of boxes without chocolates. Each of the x boxes cost $27.50, so if you have x boxes, their total cost is $27.5x. Each of the y boxes cost $25.00, so y boxes cost $25y. The sponsor doesn't want to order more than 100 boxes total, so

x + y < 100

but wants to raise at least $2000, so

27.5x + 25y ≤ 2000

Now do the same thing as before; plug in the listed x- and y-coordinates and pick the point that satisfies both inequalities. You will find that (50, 30) is the correct choice.

5. Consult the "overkill" part of problem 3. The line y = -3x + 6 has a negative slope, so it's the downward sloping one. Check if the origin satisfies the inequality:

x = 0 and y = 0   ⇒   0 ≤ -3•0 + 6   ⇒   0 ≤ 6   ⇒   YES

This means Regions II and III solve the first inequality.

Do the same with the other inequality:

x = 0 and y = 0   ⇒   0 ≥ 1/2•0 + 1   ⇒   0 ≥ 1   ⇒   NO

This tells us that Regions I and II solve the second inequality.

The intersection of these regions is of course Region II.

6. One of the plotted lines is apparently y = x + 4, which has a positive slope, so this must be the upper line. The shaded region below it corresponds to the solution of either y < x + 4 or y ≤ x + 4 and we eliminate B.

The other line has negative slope, which eliminates A and D since

3x - 4y = 20   ⇒   y = 3/4x - 5

has positive slope. This leaves D.

The difference between Roth IRA and a traditional IRA is that Contributions are taxed differently. That is option D.

An Individual Retirement Account (IRA) is an account that has tax advantages which is used for financial saving for a long term.

In Roth IRA, taxes are being paid while the individual is still working.

In traditional IR, taxes are being paid after retirement.

Therefore, the difference between Roth IRA and a traditional IRA is that Contributions are taxed differently.

Learn more about tax here:

https://brainly.com/question/25783927

The main difference between a Roth IRA and a traditional IRA is that D. Contributions are taxed differently.

It should be noted that IRA simply means an individual retirement account. They're usually not taxed until retirement.

In this case, the main difference between a Roth IRA and a traditional IRA is that the contributions are taxed differently.

Therefore, the correct option is D.

Learn more about IRA on:

https://brainly.com/question/27445373

Using the binomial distribution, it is found that there is a 0.011 = 1.1% probability that exactly one of their four children will have that trait.

For each children, there are only two possible outcomes, either they have the trait, or they do not. The probability of a children having the trait is independent of any other children, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X=x)=C_{n,x.}p^x.(1-p)^{n-x}[/tex]

[tex]C_{n,x}=\frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability is P(X = 1), hence:

[tex]P(X=x)=C_{n,x.}p^x.(1-p)^{n-x}[/tex]

[tex]P(X=1)=C_{4,1*}(0.85)^1.(0.15)^3=0.011[/tex]

0.011 = 1.1% probability that exactly one of their four children will have that trait.

A similar problem is given at https://brainly.com/question/24863377

Answer:yes

Step-by-step explanation:

Answer:

y = 2x

3

Step-by-step explanation:

From the graph, y=4 when x= 6

And

y= -4 when x= -6

So, we can deduce the relationship between x and y.

Answer:

$170

Step-by-step explanation:

since he wants to put it around the top and not fill it, it will be a perimeter problem. 5+12+5+12 is 34, and 34 x $5 is 170.

Explanation:

To start off, we'll need the volume of the fish tank.

Volume of a rectangular block = (length)*(width)*(height)

V = L*W*H

V = 48*30*30

V = 43,200

The volume of the tank is 43,200 cubic cm.

Divide this over the flow rate of 7200 cubic cm per minute to get

(43,200)/(7200) = 6

It will take Emily 6 minutes to completely fill the tank.

Answer:

A=bxh

171 cm=18cmxh

h=171/18

= 9.5 cm

which is B no.

Answer:

1/6

Step-by-step explanation:

6 = 6/1

Therefore, reciprocal= 1/6

Answer:

1/6

Step-by-step explanation:

Answer: u<6

Step-by-step explanation:

Isolate u by dividing both sides of the inequality by 7

[tex]\frac{7u}{7} < \frac{42}{7} \\u < 6[/tex]

u<6

Hope it helps.

Do comment if you have any query.