use the discriminant to find the number and type of solution for x^2+6x=-9​

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

learn more on right triangle here: https://brainly.com/question/29285631

#SPJ1

The matrix representation, A', of the linear transformation t with respect to the basis B' = {(5, 0, -1), (-3, 2, -1), (4, -6, 5)} is:

A' = [[0, 1, -1],

[0, 0, 0],

[1, -1, 0]]

To find the matrix representation of the linear transformation t with respect to the basis B', we need to determine how t acts on each basis vector. The resulting vectors will form the columns of the matrix A'.

Let's consider each basis vector in B' and apply the linear transformation t to them:

t(5, 0, -1) = (0, 5*(-1), 5-0) = (0, -5, 5)

t(-3, 2, -1) = (2-(-1), -3*(-1), -3-2) = (3, 3, -5)

t(4, -6, 5) = (-6-5, 4*5, 4-(-6)) = (-11, 20, 10)

These resulting vectors become the columns of the matrix A':

A' = [[0, 3, -11],

[-5, 3, 20],

[5, -5, 10]]

Therefore, the matrix representation A' of the linear transformation t with respect to the basis B' is given by the above matrix.

To learn more about matrix representation visit:

brainly.com/question/32647266

#SPJ11

Step-by-step explanation:

Probability is the ratio of number of success/ total outcomes

So let calculate each probability

We have six total outcomes here in each scenario.

P(5)=1/6

P(1 or 2)=2/6=1/3

P(odd number )=3/6=1/2

P(not 6)= 5/6

Also

P(not 6)=1-P(6)=5/6

P(even number)=3/6=1/2

P(1,2,3,4)=4/6=2/3

The example of quantitative data among the given options is option A. North America is moving across Earth's surface several centimeters per year

Quantitative data refers to numerical or measurable information. In option A, the statement provides specific numerical measurements by stating that North America is moving across Earth's surface several centimeters per year. This information can be quantified and measured, making it an example of quantitative data.

Options B, C, D, and E do not provide numerical or measurable information. They describe qualitative characteristics or observations that cannot be easily quantified or measured.

B. The river has flooded a low-lying area describes a qualitative observation of a flood occurrence.

C. The volcano is releasing much steam describes a qualitative observation of steam release.

D. Volcanoes are dangerous makes a general statement without providing specific numerical information.

E. When held, one rock feels heavier than another rock is a subjective comparison and does not provide specific quantitative measurements.

Therefore, option A is the example of quantitative data as it provides numerical information that can be measured and quantified.

To know more about quantitative data refer here:

https://brainly.com/question/1716144?#

#SPJ11

Answer:

The entrance is30 ft wide

Answer:

20 feet

Step-by-step explanation:

When graphing, we see that the length of the transverse axis is the shortest distance, which is a length of 20 feet from one wall to the other.

Answer:

Step-by-step explanation:

make the question clearer homie urs makes no sense

Answer:

The translation is 2x-7

Step-by-step explanation:

Here, we want to write the given statement in an algebraic form

Let the number be x

2 times the number is 2 * x = 2x

Difference between this and 7 will be 2x-7

Answer:

Below

Step-by-step explanation:

The total area would be 9 x 16 = 144 in^2

  subtract A (4 x 4)   and B ( 5 X 16)        for area C = 48 in^2

The maximum value of the data is given as follows:

75.

A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:

The maximum value on the box plot is the end of the plot, hence it is of 75.

More can be learned about box plots at https://brainly.com/question/3473797

#SPJ1

Answer:

184

Step-by-step explanation:

Answer:

184

Step-by-step explanation:

Answer:

negatives are below zero, while positives are above zero

Step-by-step explanation:

hope this helps!!

if it does please make me brainliest??

The length of x in the isosceles right triangle is 15.6 units.

An isosceles triangle is a triangle that has two sides equal to each other and two angles congruent to each other.

The triangle above is an isosceles triangle. The triangle is also a right angle triangle. A right angle triangle is a triangle that has one of it's angles as 90 degrees.

Using Pythagoras's theorem, let's find the side x

c² = a² + b²

where

Therefore,

11² + 11² = x²

121 + 121 = x²

x = √242

x = 15.5563491861

Therefore,

x = 15.6 units

learn more on isosceles triangle here:https://brainly.com/question/27022193

#SPJ1

The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

know more about northwestern region, state.

https://brainly.com/question/749299

#SPJ11

Randomization is a crucial step in experimental design that helps to increase the validity and generalizability of the results, by controlling the extraneous variables that might influence the outcome.

Randomization is important in an experimental design because it helps to reduce the effects of confounding variables. Confounding variables are factors that can affect the outcome of an experiment but are not part of the experimental manipulation. By randomly assigning subjects to different groups, the effects of confounding variables will be distributed equally among the groups, making it more likely that any differences observed between the groups are due to the experimental manipulation and not to the confounding variables.

Randomization also helps to ensure that the groups being compared are representative of the population being studied. This is important because if the groups are not representative, the results of the experiment may not be generalizable to the population as a whole.

Additionally, randomization helps to ensure that the groups being compared are not systematically different in ways that could affect the outcome of the experiment. This is important because if the groups are systematically different, it could be difficult to determine whether any differences observed between the groups are due to experimental manipulation or systematic differences.

Therefore, Overall, randomization is a crucial step in experimental design that helps to increase the validity and generalizability of the results, by controlling the extraneous variables that might influence the outcome.

To learn more about randomization,

Visit; brainly.com/question/21306562

#SPJ4

Answer:

255

Step-by-step explanation:

EXPLANATION We are looking for the number of adult tickets sold. number of adult tickets sold =x We are given that there were 61 more student tickets sold than adult tickets. number of student tickets sold =+x61 The total number of tickets sold was 511.

The solution to the differential equation y'' + 4y' + 4y = 25cos(t) + 25sin(t), with initial values y(0) = 1 and y'(0) = 1, is \(y(t) = e^(^-^2^t^) * (1 + 2t) + 25/10 * sin(t) + 15/10 * cos(t).\)

To solve the given second-order linear homogeneous differential equation, we first find the complementary solution by solving the characteristic equation. The characteristic equation for the given differential equation is r² + 4r + 4 = 0. Solving this equation gives us a repeated root of -2.

The complementary solution is then obtained as \(y_c(t) = (c1 + c2t) * e^(^-^2^t^)\), where c1 and c2 are arbitrary constants.

To find a particular solution, we assume a solution of the form y_p(t) = A * sin(t) + B * cos(t), where A and B are constants to be determined. We substitute this assumed solution into the differential equation and solve for A and B.

By substituting the given initial conditions y(0) = 1 and y'(0) = 1 into the general solution, we can solve for the arbitrary constants c1 and c2. This yields c1 = 1 and c2 = 1.

Finally, the complete solution is obtained by adding the complementary and particular solutions, resulting in\(y(t) = y_c(t) + y_p(t) = (1 + t) * e^(-2t) + 25/10 * sin(t) + 15/10 * cos(t).\)

This solution satisfies the given differential equation and the initial conditions.

Learn more about Differential equation

brainly.com/question/31492438

#SPJ11

Answer:

False

Step-by-step explanation:

Answer:

B. 7 1/2

Step-by-step explanation:

8x=12

x = 1.5

2y+10=22

2y = 12

y = 6

1.5 + 6 = 7.5

So, the sum of the solutions of the two equations is

B. 7 1/2

Answer:

Step-by-step explanation:

firstly we solve 8x=12 we divide both sides by 8 since 8 is the coefficient of x so we are trying to find x that is 8x divided by 8 which is x =12 divided by 8 which is 1.5 which means x=1.5 then we solve the second one 2y+10=22 we collect like terms which means 2y=22-10 as you should know the 10 changes to negative when crossed over to the other side so then 2y=12 is the answer then we divide both sides by the coefficient of y which is 2 so 2y divided by 2 =y 12 divided by 2 = 6 so y=6 then we add both of them together x=1.5+(y=6) so add 1.5 and 6 together answer is 7.5 or 7  1/2

Step-by-step explanation:

we have two lines you have to draw.

one is all in the bottom left quadrant (for x<=0) and one in the upper right quadrant (for x>5).

the easiest is for x>5. the line function is only

f(x) = y = 3

so, this is a horizontal line on the grid line for y = 3. it starts above x=5 and then goes all the way to the right ("to infinity and beyond !"). just, if possible, mark the starting point at x=5 as a little empty "circle" instead of a full dot, as x=5 is explicitly excluded (due to x>5).

and for x<=0 the line

f(x) = y = 4x - 3

goes sharp down but goes a little bit to the left the further down it goes. it starts with x=0, which gives y=-3 per the function.

so, the starting point (with a full dot, as x=0 is included) is (0,-3).

from there it goes sharp down and a little bit to the left.

for example the next point is for x=-1, which gives y=-7, so it is the point (-1,-7). x=-2 gives y=-11 and the point (-2,-11).

the line has to go through so these points and further down (again, "to infinity and beyond !"), as to move further left on the negative x-axis.

Answer:

the answer will be..

x=-1

x=4

(x+1) (x-4)

but im sorry i dunno what's lesser and greater means

Answer:

3.6=30%    3.6+12=15.6       $15.6

Step-by-step explanation:

I hope this helps! Have a fantastic fri-yay! May I have brainliest!

Answer:

meters/second

Step-by-step explanation:

That's a velocity unit :).

Answer:

Meters/Second

In the picture there are 2 problems. The similarity is they two have to find 2 question. The difference is given question are different.

Given that,

In the picture there are 2 problems.

We have to find the difference and similarities of question in the picture.

The similarities are they 2 are word problems.

Another similarity is they two have to find 2 question.

1. How much money for 10 days and How many days to collect the money $1.05?

2.How much gallon of water need for 50 minutes and How much time take to fill the pool?

Another similarity is they two have to justified the answer in a mathematical model.

Now,

The difference is,

First question has given sisters and money problem where as the second has given pool and gallon water problem.

To learn more about difference visit: https://brainly.com/question/11493328

#SPJ1

Answer:

20:3 ratio

Step-by-step explanation:

Answer:20 horses to 3 cows or 20:3

Step-by-step explanation:

The answer would be 20:3. If you notice that Both 40 and 6 can be divided by 2 so you would divide 40 by 2 and get 20 as your answer. And for the next you would divide 6 by 2 getting 3. So your ratio would be 20 horses to 3 cows or 20:3. I hope you were able to understand and I hope this helps you! I'm so sorry I didn't see your question earlier!

Answer:

Negative

Step-by-step explanation:

Assume that you mean if c÷d is positive or negative when c > 0 and d < 0

c > 0 means that c is positive

d < 0 means that d is negative

positive divides negative is always negative.

Thus, c÷d is negative when c > 0 and d < 0

Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

A similar problem, in which the length of a line segment is found, is given by https://brainly.com/question/24778489

#SPJ1