Anyone knows how to find x for number #7 & #8 ?

Answer:

(2,√21)

Step-by-step explanation:

The circle centered at the origin has equation:

[tex] {x}^{2} + {y}^{2} = 25[/tex]

Any point that satisfies this equation lie on this circle.

When x=2, we substitute and solve for y.

[tex] {2}^{2} + {y}^{2} = 25 \\ 4 + {y}^{2} = 25 \\ {y}^{2} = 25 - 4 \\ {y}^{2} = 21[/tex]

Take square root to get:

[tex]y = \pm \sqrt{21} [/tex]

Therefore (2,-√21) and (2,√21) are on this circle.

From the options, (2,√21) is the correct answer

Answer:2, square root of 21 just took the test!

Step-by-step explanation:

Answer:

The equivalent expression to 9(15) is 9(10+5).

Step-by-step explanation:

this is equivalent to 910 because 27 x 10 = 30 x 9 = 270.

this is also equal to 9(15) to 9(10+5)

An expression is defined as a set of numbers, variables, and mathematical operations. The expression that is equivalent to 9/10÷2/3 is (9×3)/(10×2).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression is equivalent to 9/10÷2/3, can be written as,

[tex]\dfrac9{10} \div \dfrac23\\\\\\= \dfrac{\frac{9}{10}}{\frac23}\\\\\\= \dfrac{9\times 3}{10 \times 2}[/tex]

Thus, the expression that is equivalent to 9/10÷2/3 is (9×3)/(10×2).

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Answer: .

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I did the usatestprep

Answer:

The answer is: -1, -3/4, -5/8, -1/20

So you gotta break the trapezoid into 2 shapes, square and triangle.

Area of the square: 8 x 10 = 80 cm^2

Area of the triangle :  1/2 x base x height

base: 6

height: 8

therefore, 1/2 x 6 x 8 = 24 cm^2

24+80 = 104 cm^2

Therefore your answer is C

The area of the  trapezoid ABCD should be option c [tex]104\ cm^2[/tex]

Since

We know that  

Area of the square= [tex]8 \times 10 = 80\ cm^2[/tex]

And,

Area of the triangle:  [tex]1/2 \times base \times height[/tex]

Here

base =  6

height =  8

So, the area should be

[tex]= 1/2 \times 6 \times 8 \\\\= 24\ cm^2[/tex]

Now the area of trapezoid is

= 24+80

= 104

Hence, The area of the  trapezoid ABCD should be option c [tex]104\ cm^2[/tex]

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Answer:

-216

Step-by-step explanation:

(−3x − 6)(3x2 − 6x + 3)

=(18)(6 − 6x + 3)

=(18)(6 − 18)

=(18)(− 12)

= -216

Answer:

-9 • (x + 2) • (x - 1)2

Step-by-step explanation:

(-3x-6)(3x2-6x+3)  

Final result :

 -9 • (x + 2) • (x - 1)2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (-3x - 6) • ((3x2 -  6x) +  3)

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -3x - 6  =   -3 • (x + 2)  

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  (3x2 - 6x + 3)  =   3 • (x2 - 2x + 1)  

Trying to factor by splitting the middle term

4.2     Factoring  x2 - 2x + 1  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  +1  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 1 = 1  

Step-2 : Find two factors of  1  whose sum equals the coefficient of the middle term, which is   -2 .

     -1    +    -1    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  -1  

                    x2 - 1x - 1x - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (x-1)  •  (x-1)

            Which is the desired factorization

Multiplying Exponential Expressions :

4.3    Multiply  (x-1)  by  (x-1)  

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x-1)  and the exponents are :

         1 , as  (x-1)  is the same number as  (x-1)1  

and   1 , as  (x-1)  is the same number as  (x-1)1  

The product is therefore,  (x-1)(1+1) = (x-1)2  

Final result :

 -9 • (x + 2) • (x - 1)2

Answer: $27,560

Step-by-step explanation:

Formular for simple interest = PRT

P= 26,000

R=3% = 3/100 = 0.03

T= 2

26,000 x 0.03× 2

= 1,560

Ending balance will be 26,000 + 1,560

= $27,560

The required dimensions of the hut base will be 8 by 12 m.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given that Rishi is making a map of a remote village. In this village, each hut has a rectangular base measuring 4 m by 6 m.

Move the points on the grid below to draw the base of one of the huts described above.

As shown in the above figure, just move the top two points down two spaces. Two sides take up four, and the other two take up six. we can find that the length of the hut base is 12 m and the width 8 m.

Therefore, the required dimensions of the hut base will be 8 by 12 m.

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Answer:

9^2= (x+2)^2+(y+8)^2

Step-by-step explanation:

The equation is r^2=(x+h)^2+(y-k)^2

Answer:

x2+y2-4x+16y-13

Step-by-step explanation:

center (h,k)=2,-8

radius(r)=9

we know

(x-h)2+(y-k)2=r2

now insert above given information

(x-2)2+(y+8)2=9×9

Answer:

(a) Li and K belongs to the same group.

(b) Mg has the tendency to lose two electrons.

(c) C prefers sharing of electrons to complete its octet.

(d) K is the most metallic element.

(e) S forms acidic oxide.

(f) Al belongs to group 13.

_______________________

(a) Li and K belongs to the same group. (Group 1)

(b) Mg has the tendency to lose two electrons because it has 2 ions in it's outermost shell

(c) C prefers sharing of electrons to complete its octet because it has 6 ions in it's outermost shell need 2 ions to complete octet

(d) K is the most metallic element.

(e) S forms acidic oxide.

(f) Al belongs to group 13.

Answer: It's B

Step-by-step explanation:

Answer:

d the anwser is d

Step-by-step explanation:

Answer: x = -2.

Step-by-step explanation:

Answer: x= -2

Step-by-step explanation: Add three to both sides

Answer:

slope is 9

Step-by-step explanation:

y2-y1 over x2-x1 so you would do -8-10 over 2-4 which would be -18 over -2 and the you devide -18 devided by -2 and you get your answer and it is 9

Answer:  sowwy if im wrong

Expanded Numbers Form:

50

+6

+0

+0.01

Step-by-step explanation:

Expanded Numbers Form:

50

+6

+0

+0.01

Expanded Factors Form:

5*10

+6*1

+0*0.1

+1*0.01

Expanded Exponential Form:

5*101

+6*100

+0*10-1

+1*10-2

The expanded form of 56.01 is 50 + 6 + 0.01.

To write the decimal 56.01 in expanded form, we break down each digit's place value.

56.01 can be expressed in expanded form as follows:

50 + 6 + 0.01

The place values are as follows:

50 (50 is in the tens place, and we can also write it as 5 * 10)

6 (6 is in the ones place, and it is just 6)

0.01 (0.01 is in the hundredths place, and we can also write it as 1/100)

So, the expanded form of 56.01 is 50 + 6 + 0.01.

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Answer:

[tex] {8}^{3} \: \: eight \: exponent \: 3 \: or \: eight \: raised \: to \: the \: power \: 3[/tex]

Step-by-step explanation:

[tex] {8}^{3} \: \: eight \: exponent \: 3 \: or \: eight \: raised \: to \: the \: power \: 3[/tex]

Answer:

10% Decrease

Step-by-step explanation:

Let the number is 100.

Now, if we increase the number by 20%, the new number will be -

100 + (100 × 20%) = 100 + 20 = 120

The new number is 120.

Again, if we decrease the new number by 25%, the number will be -

120 - (120 × 25%) = 120 - 30 = 90

The new number is 90.

The change will be decreased by = (100 - 90) = 10

Percentage change = (10 ÷ 100) × 100 = 10%

Answer:

Step-by-step explanation:

Answer:

s = 5

Step-by-step explanation:

2m + 4s = 16

Step 1:  Plug in -2 for m

2(-2) + 4s = 16

-4 + 4s = 16

Step 2:  Solve for s

-4 + 4s + 4 = 16 + 4

4s / 4 = 20 / 4

s = 5

Answer: s = 5

Answer:

s= 5

Step-by-step explanation:

s= 5

m= - 2

2m + 4s= 16

Replace the m with the value it is in brackets. Remember brackets mean to multiply.

2(-2) + 4s= 16

-4 + 4s= 16

Carry over the -4 and make s the subject.

4s= 16 - - 4

4s= 16 + 4

4s= 20

s= 20/4

s= 5

Therefore s= 5

To check if the answer was correct, replace the s and m with the value it is in brackets. s= 5; m= 2

2(-2) + 4(5)= 16

-4 + 20 = 16

Therefore s= 5 and the answer is correct!

Answer: Yes, if both are the same length width and height, then they would have the same volume.

Answer:

The expression is equivalent to 12 + 3 + (negative 7) because of the commutative property.

Step-by-step explanation:

The expression should be 12- 7 +3 = 8

The associative property allows you to put parenthesis anywhere in the equation as long it just addition and multiplication. In this question, we have subtraction(minus 7) so we can't use the associative property.  

The commutative property allows you to move around a number as long as you didn't change its value or its group. Option C changes the value of the number so it's wrong. If you calculate it will give a different answer: 12-3+7=16

Option D didn't change the value so its the right answer.

Answer:

D is correct

Step-by-step explanation:

1. Use the Multiplication Distributive Property: (xy)^a = x^a y^a

3√6 3√x √y^2

2. Use this rule: (x^a)^b = x^ab

3√6 3√xy^2/3

The exponential e is used when modeling continuous growth that occurs naturally such as populations, bacteria, radioactive decay, etc.

Explanation

We can think of e like a universal constant representing how fast we could possibly grow using a continuous process. And, the beauty of e is that not only is it used to represent continuous growth, but it can also represent growth measured periodically across time.

The exponential e will be used in situations of continuous growth or decay. The following formula is used to illustrate continuous growth and decay. If a quantity grows continuously by a fixed percent, the pattern can be depicted by this function.

                                                  [tex]A = Ao e^k^t[/tex]

In case of exponential decay, k is less than 0.

A fifth of 25 students would be 5 (25/5).

Four-fifths of the students would be the result of (25/5) multiplied by 4.

(25/5)*4

5*4

= 20; 20 students like football.

Answer:

20

Step-by-step explanation:

25 divided by 5 equals 5 then 5 times 4 to get 4/5 which is 20

Answer:

3

Step-by-step explanation:

⇒15x-20=5y

⇒(15x-20)/5=y

⇒3x

The rate of change of the function is 3

To find the rate of change of the function 15x - 5y = 20, we need to solve for y in terms of x and then determine the coefficient of x, which represents the rate of change.

Let's solve the equation for y:

15x - 5y = 20

Subtract 15x from both sides:

-5y = -15x + 20

Divide both sides by -5:

y = (15/5)x - 4

Simplifying the equation:

y = 3x - 4

Now we can observe that the coefficient of x is 3. Therefore, the rate of change of the function is 3. This means that for every unit increase in x, the corresponding y-value increases by 3.

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Answer: $822,000

Step-by-step explanation:

Median of even numbers is the average of the two middle numbers

Median = $764,000 + $880,000 ÷ 2

= $1,644,000/2

= $822,000

Answer:

$5.99

Step-by-step explanation:

In this problem, Doug paid the following amount for the dinner:

[tex]p=\$39.95[/tex]

He also left a 15% tip.

Here we want to calculate what is the amount correspondant to the tip.

In order to find this value, we have to calculate the 15% of the value of the dinner, therefore we want to find

the 15% of 39.95$

The percentage (15%) can be rewritten as fraction:

[tex]15\% =\frac{15}{100}[/tex]

Therefore, the amount of the tip is

[tex]t=\frac{15}{100}p[/tex]

And substituting p, we find:

[tex]t=\frac{15}{100}(\$39.95)=\$5.99[/tex]

So, the tip is $5.99.

Answer: 5.99

Step-by-step explanation:

Change % to decimal

Then multiply

15% =.15

39.95 x .15 = 5.99

Answer:

[tex]Area= \frac{17 \sqrt{865} }{4} \: {units}^{2} [/tex]

Step-by-step explanation:

From Pythagoras theorem,

[tex] {h}^{2} = {12}^{2} + { (\frac{17}{2} )}^{2} [/tex]

[tex]{h}^{2} = \frac{865}{4} [/tex]

[tex]h = \frac{ \sqrt{865} }{2} [/tex]

The area of the isosceles triangle is

[tex]Area= \frac{1}{2} bh[/tex]

[tex]Area= \frac{1}{2} \times 17 \times \frac{ \sqrt{865} }{2} = \frac{17 \sqrt{865} }{4} [/tex]

Answer: 320 , 112, 432

Step-by-step explanation:

Volume of Rectangular Prism= 4 * 8 * 10

= 32*10

= 320 ft cubed

Volume of triangular prism= 4 * 7 * 8

= 28 * 8

= 224

= 224 divided by 2

= 112

Volume of composite= 112 + 320

=  432

Answer:

Perfect squares are whole numbers that are squared, so the two that are closest to 175 would be:

13*13=169 and

14*14=196

The two perfect squares closest to 175 are (13*13) and (14*14)

Hope this helps ;)