What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?

9514 1404 393

Answer:

  B.  y < -x +1

Step-by-step explanation:

The boundary line has a y-intercept of +1, eliminating choices A and C.

The boundary line has a negative slope, eliminating choices C and D.

The only viable choice is B: y < -x +1.

Answer: 3rd

Answer: 3rd

25/15

Answer:

Median = 44

Step-by-step explanation:

Arrange the data in ascending order:

36, 37, 40, 43, 44, 49, 50 , 51, 56.

Choose the number in the middle.

Median = 44

Answer:

gd

Step-by-step explanation:

line gd is congruent to kh

Answer:

Sorry I had to go to dinner here you go hope this helps! :D

Step-by-step explanation:

So, before we start, there are two things we have to go over.

First off, we have "or"

When using or between two probabilitess, you are basically adding them together.

For instance, you first question asks what the probability is of rolling a 5 or a number greater than 3(assuming this is a 6 sided dice).

So, rolling a 5 is a change of 1/6. Since 1 of the 6 dice iwll be 5. The other probability is a 1/2, since 3 of the 6 dice are over 3.

Now lets add these two together because of the "or":

1/2+1/6=3/6+1/6=4/6

So the probabily of rolling a 5 OR rolling a number greater than 3 is 4/6.

This is inclusive, since rolling a 5 is possible and greater than 3.

Now "and" is a bit different and more complex than or is.

Here is an example:

What is the change of rolling a even number or rolling a number above 4?

Well, rolling a even number has a probability of 1/2. Rolling a number above 4 is 1/3.

To find the "and", we multiply the two probabilities.

So 1/3*1/2=1/6

So the probability of rolling a even number and a number above 4 is 1/6.

Now, lets get back to the answers.

So what is the probability of rolling a 2 or a 6?

There is a 1/6 probability to get a 2, and a 1/6 probability to get a 6.

Add it together since they use or:

1/6+1/6=2/6

So the probability of rolling a 2 or a 6 is 2/6, or 1/3.

This is exlusive since you cant roll both a 6 and a 2 at the same time.

Next we have what the probability is of drawing a 6 or a king.

There are 13 different cards in a deck.

There is a 4/52 chance of drawing a 6(spade/heart/etc), and a 4/52 chance of drawing a king. This simplyfies to 1/13 for each.

This is:

1/13+1/13=2/13

So the probability of drawing a 6 or a king is 2/13

This is a exclusive event since a king and 6 cant be drawn at the same time.

Finally, we have:

What is the probability of drawing a queen or a spade?

Again, there is a 4/52 chance of drawing a queen. A spade, however, is different.

13 of the 52 cards can be spades, which simplies to 1/4.

So we have 1/13+1/4=4/52+13/52=17/52

So there is a 17/52 probability of drawing a queen or spade.

This is a inclusive event since it is possible to draw both a spade and queen at the same time.

Hope this answers all your questions and helps you understand what "and" "or" are in probability.

Answer:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

DR and SL

RM and LT

Step-by-step explanation:

When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.

When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.

Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:

<D corresponds to <S

<R corresponds to <L

<M corresponds to <T

<F corresponds to <O

For the sides, we have:

DR corresponds to SL

RM corresponds to LT

MF corresponds to TO

FD corresponds to OS.

We can select any two out of these sets of corresponding angles and sides as our answer. Thus:

✔️2 sets of corresponding angles

<D and <S

<R and <L

✔️2 sets of corresponding sides

DR and SL

RM and LT

Answer:

See below and attached

Step-by-step explanation:

Let the number of paintings is x and the number of mugs is y.

We have following inequalities:

The graphical solution is attached.

The solution is:

It's the third one I believe. y>1/2x

Answer:  56 degrees approximately

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

Work Shown:

tan(angle) = opposite/adjacent

tan(x) = 15/10

tan(x) = 1.5

x = arctan(1.5)

x = 56.3099 approximately

x = 56 degrees

Note: arctan is the same as inverse tangent

Answer:

6 x 8 = 48 yd2 (square yards)

Step-by-step explanation:

Answer:

Area of triangle is 23 yd².

Step-by-step explanation:

Given :-

Base of triangle = 8 yd

Height of triangle = 6 yd

To find

Area of triangle

Solution :-

we know that,

Area of triangle = 1 / 2 × base × height

substitute the values

Area of triangle = 1/2 × 8 yd × 6 yd

multiplying the values

Area of triangle = 1/2 × 46 yd²

divide the values

Area of triangle = 46 yd ² /2 = 23 yd².

Therefore, Area of triangle is 23 yd ².

Answer:

d. x9 + x3 – 10 = 0

Answer:  [tex]5\sqrt{3}[/tex]  which is choice C

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

Explanation:

This is a 30-60-90 triangle. The short leg is 5, as it's opposite the smallest angle. The long leg is [tex]\sqrt{3}[/tex] times that of the short leg.

Answer:

Option C is correct

Step-by-step explanation:

[tex]8 + 8 + 8 + 8 + 8 + 8 = 48[/tex]

[tex]6 \times 8 = 48[/tex]

Answer:

subtract 5 , m=(-15)

Step-by-step explanation:

15-5

=10

n:

5-10

=(-5)

m:

(-5)-10

=(-15)

hope it help

Answer:

to blury

Step-by-step explanation:

Answer:

The answer would be 25.

4x4=16

16+9=25

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

25

Step-by-step explanation:

rewrite the equation

(4x4)+9

do the equation

16+9=25

Answer:

R = 13%

Step-by-step explanation:

P = $4000

I = $780

T = 18 months = 18/12 years

[tex]I = \frac{PRT}{100} \\\\780 = \frac{ 4000 \times R \times \frac{18}{12}}{100}\\\\780 = \frac{6000 \times R }{100}\\\\780 = 60R\\\\R = \frac{780}{60} = 13 \%[/tex]

Answer:

[tex]y=-x+1[/tex]

Step-by-step explanation:

Slope can be represented as rise over run (change y-values over change in x-values). Since the y-value is changing by -2 every time the x-value is changing by 2, the slope of the line must be [tex]\frac{-2}{2}=-1[/tex].

In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x, y)[/tex] represent the coordinates of any point the line passes through.

To find [tex]b[/tex], substitute [tex]m=-1[/tex] and any point the line passes through.

Using (1, 0) from the table:

[tex]0=-1(1)+b,\\0=-1+b,\\b=1[/tex]

Thus, the equation of this line is [tex]\boxed{y=-x+1}[/tex]

Answer:

no

Step-by-step explanation:

because it's unequal

Answer:

42

Step-by-step explanation:

The height of the pole is 4 times shorter than the length of the shadow 20÷5=4

The height of the building must be 4 times shorter than its shadow length 168÷4=42

Answer:

2cm

Step-by-step explanation:

First, it is important to define both the radius and diameter. A diameter is the length of a line through the center of a circle that touches two points on the edge.

In the semicircle on the top, if we can imagine it making up a full circle, we can note that the bottom center of the semicircle is the center of the full circle, with the line of length 4cm going right through it. Similarly, for the bottom semicircle, as the line between the semicircles is straight, the diameter for that one is 4cm as well.

The radius is equal to half of the diameter. The diameter is 4cm, so the radius is 4cm/2 = 2cm

Answer and Step-by-step explanation:

Solve for the middle side, then  for x using Pythagorean Theorem.

[tex]A^2 + B^2 = C^2\\\\\\6^2 + 8^2 = C^2\\\\100 = C^2\\\\C = 10\\\\\\\\A^2 + 10^2 = 12^2\\\\A^2 + 100 = 144\\\\A^2 = 44\\\\A^2 = 2\sqrt{11} <-Answer[/tex]

#teamtrees #PAW (Plant And Water)

Answer:

3.75

Step-by-step explanation:

calculator because yes:)

Answer:

The answer is 3366 cubic feet.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (18ft) (11ft) (17ft).

Then, solve the equation for the answer, and the answer will be 3366 cubic feet.

Answer:3366

Step-by-step explanation:

Answer:12 - 5y

Step-by-step explanation:

The quantity five times a number y decreased by twelve means that  5 multiplied by a number is subtracted from 12, it also means that 12 minus 5 times a number y and can be written mathematically as

12 - 5y