Find the length of the third side. If necessary, write in simplest radical
form.
5
8

Answer:

see image

Step-by-step explanation:

You are multiplying x² - 4x + 4 and 6x + 3.

This is set up like:

6x + 3(x² - 4x + 4)

To solve this, we want to multiply each term that is outside of the parentheses with each term that is inside of the parentheses.

Let's start with 6x.

6x • x² = 6x³

6x • -4x = -24x²

6x • 4 = 24x

These numbers will be in the first blank row.

Now, let's move onto 3.

3 • x² = 3x²

3 • -4x = -12x

3 • 4 = 12

These numbers will be in the second blank row.

Now let's write all these numbers together.

6x³ - 24x² + 24x + 3x² - 12x + 12

Combine like terms, pay attention to the exponent.

6x³ - 21x² + 12x + 12

Refer to the completed table below.

Hope this helps!

Answer:

BC=EC(GIVEN)

AC=DC(GIVEN)

<BCA=<DCE(VERTICAL OPPOSITE ANGLE)

BCA=DCE(BY SAS CRITERIA)

BA=DE(BY CPCT )

Answer:

14

Step-by-step explanation:

the four smaller rectangles of each of the corners: 2*1=2. since there are four of them, 2*4=8

the middle, larger rectangle: (6-2-2)*(1+1+1) = 2*3 =6

add small and big rectangles: 8+6 = 14

Answer:

14

Step-by-step explanation:

6*3-2(2*1)

=18-4=14

Answer: 2.378.

Step-by-step explanation:

perimeter of square= 4×side

32= 4×side

32/4= side

8= side

hope it helps you friend!!

Answer:

2x^3 + 20x^2 -12x

Step-by-step explanation:

I think

Step-by-step explanation:

180-77 = 103

103+18 = 121

k = 180-121 = 59

Answer:

Step-by-step explanation:

So we know they had got $22,553 which is 90% more than last year. With this information we know:

190% = $22,553

1% = $22,553/190

1% = $118.70

100% = $11870

So overall it would be $11870 which they had got last year

The shape of Joy’s room is a rectangle 540 cm long by 250 cm wide.

a. Work out the area of his room in Square meters.

b. How much does he pay to buy flooring for his room where flooring costs $ 40 per square meter

Work out the area of his room in Square meters.

We know that:-

Area of a rectangle = (length × breadth)sq.units

Therefore,

Area of the rectangular room = (5.4 × 2.5) square meters

=> Area of the rectangular room = 13.5 square meters.

Area of his room is 13.5 square meters.

How much does he pay to buy flooring for his room where flooring costs $ 40 per square meter

Flooring cost in 1 squre meter = $40

Flooring cost in 13.5 square meters = $(40 × 13.5) = $540

He pays $540 to buy flooring for his room.

Hope this helps you!! (^_^)

Answer:

at the picture or the a b c d ?

Answer:

The angle is 50 degrees.

Step-by-step explanation:

In order to measure the angle, you take the three points: F, H, and G, and it forms the angle which is pointing at 50.

Answer:

5.5 hours

Step-by-step explanation:

After the two hours Theo had a 110 mile lead so you simply divide this by the difference in their speed to get the time

Answer:

A

Step-by-step explanation:

Ratio means comparison, so we have to compare the two given examples, in this state empty and occupied.

one of the most important things to look for during ratios is what comes first. In this statement it says empty to occupied, not occupied than empty/.

if we know that empty is 34 and occupid is 16 than we know our answer is A

Please mark me branliest.

Have a great day!

Answer:

probability is 0.67

Step-by-step explanation:

We know that Angle in a circle = 360°

Area of total shaded parts = 60 + 60 = 120°

Area of total unshaded parts = 360-120 = 240°

Probability that a random selected point within the circle falls in the unshaded area

= 240/360

= 2/3= 0.67

Probability that a randomly selected point within the circle falls in the white area will be [tex]0.67[/tex] .

Probability is the ratio of the number of outcomes to the total number of possible outcomes.

Probability [tex]=\frac{Number\ of\ possible\ outcomes}{Total\ number\ outcomes}[/tex]

We have,

Radius [tex]=4[/tex] cm

Now,

Area  of Circle [tex]=\pi r^{2}[/tex]

Area  of Circle[tex]=\frac{22}{7} *4^2=50.28\ cm^2[/tex]

Now,

Area of minor segment [tex]=\frac{\theta}{360^0} *\pi r^{2}[/tex]                                    

Area of minor segment [tex]=\frac{60}{360} *\frac{22}{7}* 4^{2}=8.38\ cm^2[/tex]

Now,

We have two  minor segment,

Area of two minor segment [tex]=8.38*2=16.76\ cm^2[/tex]

Now,

Area of white Portion [tex]=50.28-16.76=33.52\ cm^2[/tex]

Now,

Probability [tex]=\frac{Number\ of\ possible\ outcomes}{Total\ number\ outcomes}[/tex]

Probability [tex]=\frac{33.52}{50.28}=0.67[/tex]

So, the Probability of white area is [tex]0.67[/tex] .

Hence, we can say that Probability that a randomly selected point within the circle falls in the white area will be [tex]0.67[/tex] .

To know more about Probability click here

https://brainly.com/question/27579447

#SPJ3

Answer:

I think what you are asking for is an example.

Step-by-step explanation:

Standard form equation

8x-4y = 20

1. move 8x to the other side

-4y=20-8x

2. divide both sides by -4

[tex]\frac{-4y}{-4} = \frac{20-8x}{-4}[/tex]

3. Solve for this...

y=2x-5

Answer:

B

Step-by-step explanation:

Since the triangle is isosceles, then the segment from the vertex is a perpendicular bisector and the triangle is divided into 2 right angles with legs 12 and [tex]\frac{1}{2}[/tex] x with hypotenuse 15

Using Pythagoras' identity in the right triangle

( [tex]\frac{1}{2}[/tex] x )² + 12² = 15²

[tex]\frac{1}{4}[/tex] x² + 144 = 225 ( subtract 144 from both sides )

[tex]\frac{1}{4}[/tex] x² = 81 ( multiply both sides by 4 to clear the fraction )

x² = 324 ( take the square root of both sides )

x = [tex]\sqrt{324}[/tex] = 18 → B

Answer:

correct me if im wrong bb

Answer:

write down am pm

have a great day ahead

Answer:

it's 25 cm

Step-by-step explanation:

Volume = 225π

or πr²h= 225π

or r²h= 225

or h= 225/r²

here diameter d = 6cm so radius r=d/2 = 3cm

or h= 225/3²

hence h= 25cm

Answer:

degree of the polynomial = 7

Number of terms = 2

Name = binomial

leading coefficient = 5

Step-by-step explanation:

The polynomial is x³y² - 5x³yz³

The degree of a polynomial is the highest exponent of any of its variables.

But in this case where we have two variable together, we sum up their exponents and the Hughes one will be the degree of the polynomial.

Thus;

x³y² has a degree of 3 + 2 = 5

5x³yz³ has a degree of 3 + 1 + 3 = 7

Thus,7 is the highest and the degree of the polynomial is 7.

There are two terms which are x³y² and 5x³yz³

Since it has two terms, it is a binomial.

To get the coefficient, I will rearrange in descending order of degree;

-5x³yz³ + x³y²

Thus, leading coefficient = 5

Answer: https://mathantics.com/

Step-by-step explanation: use that I hope it helps

Answer:

sides of square are equal so,

2w+2=w+20

2w - w = 20 - 2

w = 18

Answer:

a) 222.222 b) the initial amount of aspirin c) how much aspirin is remaining in the body d) is in the picture below

Step-by-step explanation:

Answer:

sorry i don't know

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

All the angles in a triangle add up to 180. Then you find the supplement of 93 so thats 87. Then you add 87 to 50 and subtract that from 180. 43

Answer:

175 ft

Step-by-step explanation:

From the question,

(a) ΔABC and ΔEDC are similar because all the angles in ΔABC is equal to the corresponding angles in ΔEDC.

I.e, ΔABC is equiangular to ΔEDC. (AAA).

(b) From the diagram.

for similar angle, ratio of corresponding sides are equal

100/d = 4x/7x

100/d = 4/7

where d = distance across the river

solve for d

d = (100×7)/4

d = 175 ft

ANSWER:

J:

(5,-10)

K:

(15,-6)

L:

(15,-15)

Answer: The answer to this question is 13.

Step-by-step explanation:

The two triangles are congruent by A.S.A axiom making the opposite sides AD and DC equal.

Answer:

3/-1 .............

Step-by-step explanation:

hope that helps

Answer:

4 1 and negative 4

Step-by-step explanation:

the top square is 4 which is where the blue line starts and 1 is in the middle and negative 4 is at the bottom