A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE

Answer:

x² + 8x + 12

Step-by-step explanation:

see

the length of the entire rectangle = x + 6

breadth of the entire rectangle = x + 2

area of a rectangle = length × breadth

= (x + 6)(x + 2)

= x² + 8x + 12

which is the required polynomial in standard form

Answer:

x^2 + 8x + 12

Step-by-step explanation:

length = x+6

breadth = x+2

ara of rectangle = l*b

=(x+6)(x+2)

=x(x+2) +6(x+2)

=x^2 + 2x + 6x +12

=x^2 + 8x +12

Answer:

The amount of wood left is 36 9/16 in

Step-by-step explanation:

Here, we want to get the amount of wood left

To calculate this, we have to subtract what is cut and what is wasted from the original total length

So we have what is left as follows;

45 1/2 - 8 7/8 - 1/16

45 1/2 = 91/2

8 7/8 = 71/8

91/2 - 71/8 - 1/16

(728 - 142 - 1)/16

585/16 = 36 9/16 in

Step-by-step explanation:

Given that,

We are asked to calculate the value of f(7).

Substitute the value of x as 7 in the polynomial to find the value of f(7).

→ f(7) = 10 - 2(7)

→ f(7) = 10 - 14

→ f(7) = -4

Therefore, –4 is the required answer.

Answer: 60 ft

Step-by-step explanation: If you multiply 6 x 10 = 60 and there both in feet so the answer whould be 60ft

Answer:

9

Step-by-step explanation:

The mean is equal to the sum of all numbers divided by the amount of numbers there are. If we represent the mean as m, sum as s, and number of numbers as n, we can write our equation as

m = s/n

Therefore, as we know the mean (7) and number of numbers (4), we can plug those in to find the sum.

7 = s / 4

Multiply both sides by 4

28 = s

We then have our sum. Because we know 3 numbers, and there are 4 total, there is one number left to figure out. Our current sum is 5+7+7 = 19, and we need a sum of 28. The difference between the sums, equivalent to the fourth number, is 28-19=9.

Answer:

-4 < n ≤ 5

Step-by-step explanation:

_________________

1) angle RQP

2) angle PQR

Step-by-step explanation:

= (8x² + 9) - (3x² + 2x + 5)

= 8x² + 9 - 3x² - 2x - 5

= 5x² - 2x + 4

Answer:

[tex]x\le \:-1[/tex]

Step-by-step explanation:

[tex]3\left(x-1\right)\le \frac{1}{2}\left(x+1\right)-6[/tex]

[tex]3x-3\le \:-\frac{11}{2}+\frac{1}{2}x[/tex]

[tex]3x\le \:-\frac{5}{2}+\frac{1}{2}x\\[/tex]

[tex]\frac{5}{2}x\le \:-\frac{5}{2}[/tex]

[tex]5x\le \:-5[/tex]

[tex]x\le \:-1[/tex]

x = -1

3(-2) ≤ ½(0) - 6

-6 ≤ 0 - 6

-6 ≤ -6

This is true.

x = -2

3(-3) ≤ ½(-1) - 6

-9 ≤ -½ - 6

-9 ≤ [tex]-\frac{13}{2}[/tex]

This is also true.

Therefore, x ≤ -1.

Answer:

Translation across the coordinate plane

Step-by-step explanation:

Here, we want to get the kind of transformation that has occurred to the shape

from the given coordinate diagram, we can see that A shifted from (2,3) to (-3,6)

B shifted from (2,-2) to (-3,1)

and C shifted from (-1,-4) to (-6,-1)

If we look at these, we can observe that there is a change in the x-axis coordinate in each by (-1-(-6) or 2-(-3) = 5 units

and there is a change in the y-axis value by (3-6) = -3 units

so the transformation here can be represented generally as;

(x -5, y+ 3)

With this, we can see that what we have represented is simply a translation across the coordinate plane

Answer:

Step-by-step explanation:

x * 18 = 113.4

x = 6.3

Answer:

A

Step-by-step explanation:

area=πr²=π×2²=4π≈4×3.14≈12.56 km²

Answer:

12.56

Step-by-step explanation:

area of circle = pi r^ 2

pi= 22/7

r= 2km

22/7×2×2

22/7×4

22/28

12.56 is ans

Step-by-step explanation:

Let us say x=2 and y=1

Using the formula,

=>((2^2)-(1^2))^2+(2(2)(1))^2=((2^2)+(1^2))^2

=>(4-1)^2+(4)^2=(4+1)^2

=>(3)^2+(4)^2=(5)^2

Which is pythogorian triplet

Step-by-step explanation:

the answer is in the above image

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\text{D) }t=2[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\4 = 3t - 2\\-----------\\\rightarrow 3t - 2 = 4\\\\\rightarrow 3t - 2 + 2 = 4 + 2\\\\\rightarrow 3t = 6\\\\\rightarrow\frac{3t = 6 }{3}\\\\\rightarrow \boxed{t = 2}[/tex]

⸻⸻⸻⸻  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

70,000 - 20,000= 50,000

Answer:

D

Step-by-step explanation:

D. Fifty-nine point three zero

In decimals, this idea of zeros that don't add value to a number can be extended to trailing zeros. A trailing zero is any zero that appears to the right of both the decimal point and every digit other than zero.

Answer:

C: isolate the x squared by using inverse operations

Step-by-step explanation:

This method of solving quadratic equation is used when there is only x² term and no x term. Thus;

For example, we have a quadratic equation;

x² - 1 = 80

To solve this by square root method, the first step we have to take is to isolate the x² term by inverse operation which is by addition of 1 to both sides to get rid of the -1 on the left side so that x² can be isolated.

Answer:-23

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

It is A

Step-by-step explanation:

i took the test and it showed it was corrected when i got done checking my test score please choose A.

Answer:

ans: KM = 576/13

Step-by-step explanation:

break given triangle to two triangle,

use pythagoras theorem to find LN

now, splited triangle are similar to each other so corresponding sides are proportional to each other

Answer:

For this type of problem, it is best to use Venn diagrams as shown in the picture. The areas where the circles intersect are the mutual events that occur together. The area where all circles intersect is denoted as x. These are the students who play all sports. Assuming all of the students play sports in the school, all of the numbers in the circles should add up to 405. The remaining area would be the difference. The solution is as follows:

Students who play tennis and hockey: 45 - x

Students who play hockey and softball: 60 - x

Students who play only tennis and softball: 39 - x

Students who only play tennis:

251 - 45 + x - 39 +x -x = x + 167

Students who only play hockey:

157 - x - 45 + x - 60 + x = x + 52

Students who only play softball:

111 - x - 60 + x - 39 + x = x + 12

The sum of all of these should be 405:

45-x+60-x+39-x+x+167+x+52+x+12 = 405

Solving for x,

x = 30

Therefore, there are 30 pupils who play all sports; 15 pupils who play tennis and hockey; 30 pupils who play hockey and softball; 9 pupils who play tennis and softball; 197 pupil who only play tennis; 82 pupils who only play hockey; and 42 pupils who only play softball.

Step-by-step explanation:

Hope this is correct, if it is wrong then please feel free to critique me and I wil correct my mistake(s). I'm sorry in advance if it is incorrect.

Answer:

Step-by-step explanation:

Answer:  Choice C

1, 3, 6, 8, 10, 12, 13, 13, 16, 18, 19

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

Explanation:

For each answer choice, there are n = 11 numbers mentioned.

The median will be at slot n/2 = 11/2 = 5.5 = 6, so there are 5 values below the median and 5 values above it. In total, we have 5+1+5 = 11 items overall.

The vertical bar in the box plot represents the median's location. It's at 12, so "12" must be in slot 6 in the answer.

Based on this alone, the answer is between choice A or choice C. These two answers are nearly identical except for one thing: the max for choice A is 20 while the max for choice C is 19.

The answer is choice C because the boxplot shown has the tip of the right whisker at 19, and not 20.

Side note: the data values must be sorted before you can find the median. Luckily, for each answer choice, the values are already sorted for us.

Answer:

It would be Choice C

Step-by-step explanation:

Answer:

you need to addmission all number

Answer:

5) 2z - 15 = 9

2z.=9+15

2z =24

z =12

6) 4x-2 = 62°

4x=62°+2°

4x=64°

x=16

Step-by-step explanation:

5).2z-15=9 6).(4x-2°)=62°

2z=9+15 4x=62°+2°

2z=24 4x=64°

z=12 x=16