A square has a perimeter of 36 units. One vertex of the square is located at (3, 5) on the coordinate grid. What could be the x- and y-coordinates of another vertex of the square?

Answer:

[tex]\large\boxed{x-intercepts:-2\ and\ 4}[/tex]

Step-by-step explanation:

[tex]m(x)=\dfrac{x^2-2x-8}{x^2-x-2}\\\\\text{At the beginning we de}\text{fine the domain:}\\\\D:x^2-x-2\neq0\\\\x^2-2x+x-2\neq0\\x(x-2)+1(x-2)\neq0\\(x-2)(x+1)\neq0\iff x-2\neq0\ \wedge\ x+1\neq0\\\boxed{x\neq2\ \wedge\ x\neq-1}\\================================\\\text{The x-intercept is for}\ m(x)=0.\ \text{Therefore we have the equation:}\\\\\dfrac{x^2-2x-8}{x^2-x-2}=0\iff x^2-2x-8=0\\\\x^2+2x-4x-8=0\\x(x+2)-4(x+2)=0\\(x+2)(x-4)=0\iff x+2=0\ \vee\ x-4=0\\\\x=-2\in D\ \vee\ x=4\in D[/tex]

Answer:

7 is the number of how many days are in a week. So 7 x 3 is 21. That is less than 24 days. 24 days is 3 weeks and 3 days.

Step-by-step explanation:

Well, there is 7 days in a week.

So, in 3 weeks, there are 3 times more days than 7 days.

Therefore, there are 21 days in three weeks, and 24 days are more than 21 days, or three weeks.

Answer:

x + 2

Step-by-step explanation:

3x^3 - 12x

=3x(x^2 - 4)

= 3x(x + 2)(x - 2)

so (x+2), (x - 2) and 3x are the factors of 3x^3 - 12x

answer:

x + 2

Answer:

x + 2

Step-by-step explanation:

given

3x³ - 12x ← factor out 3x from each term

= 3x(x² - 4) ← x² - 4 is a difference of squares, hence

= 3x(x - 2)(x + 2) ← fully factorised

hence x + 2 is a factor of the polynomial

Answer:

43 and 41

Step-by-step explanation:

2n-1+2n-3=84

4n-4=84

4n=88

n=22

2(22)-1 and 2(22)-3

44-1 and 44-3

43 and 41

write these numbers according to the directions (in least to greatest form) and you get the numbers 41 and 43.

.

Odd integers can be written in as 2n-1, 2n+1, 2n+3 and so on. Basically, by writing 2n, you guarantee an even integer and when you add an odd integer to an even integer, you get an odd integer. Try using 2n-1 and 2n+1 as your consecutive odd integers and you will get the same solution.

Answer:

0.35 = 35%

Step-by-step explanation:

Move the decimal point two places to the right: 0.35 → 3.5 → 35.

Add a % sign: 35%

Answer 0.35 = 35%

Answer: 35

Step-by-step explanation: move the decimal right two spaces

Answer: D

Step-by-step explanation:

8²+15²=17²

The new coordinations would be (6,8)

Answer:

(6, 8)

Step-by-step explanation:

The y- axis (the vertical axis) acts as a mirror point.  When reflecting over the y axis, the y value will stay the same.  Think about looking into a mirror on your wall, your height is the same on both sides of the vertical reflecting object

The x-value will change and be the other side of the y-axis.  It will be the same distance away from the y-axis that is was, but will have an opposite sign.

Here is was 6 units to the left of the y-axis (where x values are negative), now it is 6 units to the right of the y-axis (where x values are positive)

Answer:

53 divided by 12 is 4.4167

Step-by-step explanation:

Answer:

y=-x+2

Step-by-step explanation:

Take two points and solve for the slope using: (y2-y1)/(x2-x1)=m

Then take the slope and plug it into the slope-intercept equation, y=mx+b.

Finally, take a xy pair and plug it into your equation to solve for b.

Ratio given 1:2

Let's suppose the ratio as x : 2x

Adding the ratio = 3x

[tex] \frac{x}{3x} \times 120 \\ =40[/tex]

[tex] \frac{2x}{3x} \times 120 \\= 80[/tex]

40 and 80 are in the ratio 1:2 of 120.

Hope it helps!!!

40 and 80 are in the ratio of 1:2 of 120.

Hope this helps!

Note:

dont worry about not understanding something! im sure with time and practice youll understand. math may not be your best subject, but youll get the hang of this soon. :')

also, i apologize if this answer is wrong. i havent done this in a while and im not 100% sure on my work accuracy.

Answer:

3.

Step-by-step explanation:

Count the number of 'x' symbols are above each number.

There are:

two 1/6 pieces (total of 2/6)

two 1/3 pieces (total 2/3)

three 1/2 pieces (total 3/2 aka 1 and 1/2)

four 2/3 pieces (total 8/3 aka 2 and 2/3)

one 5/6 piece (total 5/6)

Since we know that halves and thirds can be divided into sixths, we'll have to set all the denominators into sixths by multiplying. The numbers are in the same order as above.

2/6 * 1/1 = 2/6

2/3 * 2/2 = 4/6

1 and 1/2 * 3/3 = 1 and 3/6 (only multiply the fraction if it is a fraction and a whole)

2 and 2/3 * 2/2 = 2 and 4/6

5/6 * 1/1 = 5/6

Next we'll add together all the WHOLE numbers.

1 + 2 = 3

Now add all the fractions. Remember, only add the numerators, the denominator stays the same in adding.

2/6 + 4/6 + 3/6 + 4/6 + 5/6 = 18/6

Simplify the fraction.

18/6 = 3.

-3 because below is less and 3 less than zero is -3

6 because sea level would be zero and 6 above is 6

-5 cause your losing 5 pounds which means its 5 less so -5

4 because say you have zero dollars then you find 4 you now have positive 4

The answer to this is A and E, W and X, C and P

A is -7

E is 7

These are opposite

W is -5

X is 5

These are opposite

B is -3

C is 3

These are opposite

The answer is A

Answer:

A. A and E, W and X, C and P

Step-by-step explanation:

The opposite of any number (let's call it "x") is a number which, if added to x, results in 0.

Typically is -x, because x + (-x) = x - x = 0

Knowing these, let's see the values that are marked:

A = -7

W = -5

C = -3

B = 1

P = 3

X = 5  

E = 7

The opposite of 7 is -7, so A and E are opposites.

The oposite of 5 is -5, so X and W are opposites

The opposite of 3 is -3, so P and C are opposites.

The opposite of 1 is -1, but -1 is not marked.

The correct answer is the first one.

Answer:Yes may I know what answer you are trying to explain?

Step-by-step explanation:

Answer:

f(- 2) = 1

Step-by-step explanation:

Evaluate f(- 2) by substituting x = - 2 into f(x)

f(- 2) = - 2(- 2) - 3 = 4 - 3 = 1

Answer:

Domain: all integers where n ≥ 1

Step-by-step explanation:

We are given that a geometric sequence has [tex]a_1 = 5[/tex] and the common ratio [tex]r=-3[/tex].

We know that the general form of a geometric sequence is given by:

[tex]a_n=ar^{n-1}[/tex]

Substituting the given values in it to get:

[tex]a_n=5(-3)^{n-1}[/tex]

Now writing it as a function:

[tex]f(n)=5(-3)^{n-1}[/tex]

[tex]f(1)=5[/tex]

So the geometric series starts from n = 1, therefore the domain = n≥1

Answer:

A 120

Step-by-step explanation:

3x^2 - 36 ÷ y - (5 + 16)

Let x = 7 and y =6

3(7)^2 - 36 ÷ 6 - (5 + 16)

PEMDAS

Parentheses first

3(7)^2 - 36 ÷ 6 - (21)

Exponents

3*49 - 36 ÷ 6 - (21)

Multiplication and division from left to right

147 - 6 -21

Addition and subtraction from left to right

120

Answer:

28.35

Step-by-step explanation:

10 percent of 31.5 = 3.15

31.5

-3.15

-------------

28.35

Answer:

34.45 minute or 34 and 9/20 minutes

Step-by-step explanation:

10 percent of 31.5 is 3.15

And 31.5+3.15=34.45

We add because it is 10% longer.

The area of a circle is found using the equation A = πr^2

r is the radius which is 1/2 the diameter

r = 14 /2 = 7

Area = π7^2

Area = 49π

Using 3.14 for π

Area = 49 x 3.14

Area = 153.86 square inches.  Round the answer as needed.

Final answer:

To find the area of a large round pizza with a diameter of 14 inches, use the formula A = (7 inches), which is half of the diameter, to find the area, resulting in approximately 153.86 square inches.

Explanation:

The area of a circle is calculated using the formula A = case and simplify the expression since the radius has only two significant figures. Utilizing an approximation for pi ( case 3.14), the area can be calculated as follows:

A = (3.14) (7 in) (7 in) approximately 3.14 (49 in²) approximately 153.86 in². Therefore, the approximate area of the pizza is 153.86 square inches.

V =pie r2 h

= 22/7 *6*6*18

= 2036.57

Answer:

[tex]\large\boxed{(1,\ 7)}[/tex]

Step-by-step explanation:

[tex]|a|=a\ \text{for}\ a\geq0\\\\|a|=-a\ \text{for}\ a<0\\\\\text{Examples}\\\\|3|=3,\ |1.6|=1.6\\|-3|=-(-3)=3,\ |-1.6|=1.6\\===================[/tex]

[tex]y>|x|+5\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(0,\ 5)\to x=0,\ y=5\\5>|0|+5=0+5=5\qquad\text{FALSE\ :(}\\\\(1,\ 7)\to x=1,\ y=7\\7>|1|+5=1+5=6\qquad\text{CORRECT\ :)}\\\\(7,\ 1)\to x=7,\ y=1\\1>|7|+5=7+5=12\qquad\text{FALSE :(}[/tex]

If you roll a six sided dice once, each outcome has a 1/6 probability.

This means 4 has a 1/6 probability.

If you roll a dice 1200 times....

1200 × 1/6 = 1200/6 = 200

You would expect to get a 4 200 times.

Answer:

200

Step-by-step explanation:

Divide 1200 by 6.

Answer:

Step-by-step explanation:

First, evaluate a in the given equation a/4 = 2/3.

Cross-multiplying, we get 3a = 8, and then a = 8/3.

Then a - 4 would be 8/3 - 4, or 8/3 - 12/3, or -4/3 (answer)

Answer:

2(8y-5)(3y+7)

Step-by-step explanation:

48y^2 + 82y – 70

2(24y^2+41y-35)

(8y-5)(3y+7)

2(8y-5)(3y+7)

Hope this helps! :)

The volume of cylinder is 235.5 feet³

We know that

Volume of cylinder = πr²h

Putting the values

Volume of cylinder = 3.14* 5² * 3

Volume of cylinder =  235.5 feet³

Answer:

235.5 or 236

Step-by-step explanation:

Answer:

The answer is 672.

Step-by-step explanation:

To solve this problem, first let's find the surface area of the rectangular prism. To do that, multiply each dimension with each (times 2 | just in case you don't understand [what I'm talking about is down below]).

8 x 8 x 2 = 128

8 x 11 x 2 = 176

8 x 11 x 2 = 176

Then, add of the products together to find the surface area of the rectangular prism.

176 + 176 + 128 = 480

Now, let's find the surface area of the square pyramid. Now, for this particular pyramid, let's deal with the triangles first, then the square. Like we did with the rectangular prism above, multiply each dimension with each other (but dividing the product by 2 | in case you don't understand [what i'm talking about is down below]).

8 x 8 = 64.

64 ÷ 2 = 32.

SInce there are 4 triangles, multiply the quotient by 4 to find the surface area of the total number of triangles (what i'm talking about is down below).

32 x 4 = 128.

Now, let's tackle the square. All you have to do is find the area of the square.

8 x 8 = 64.

To find the surface area of the total square pyramid, add both surface areas.

128 + 64 = 192.

Finally, add both surface areas of the two 3-D shapes to find the surface area of the composite figure.

192 + 480 = 672.

Therefore, 672 is the answer.

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

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

From the table we have :

x = 1 → y = 6

x = 2 → y = 9

x = 3 → y = 12

x = 4 → y = 15

Calculate the slope (choice any two pairs, and calculate the slope):

(1, 6), (2, 9)

[tex]m=\dfrac{9-6}{2-1}=\dfrac{3}{1}=3[/tex]

We have the equation:

[tex]y=3x+b[/tex]

Put the coordinates of the point (1, 6) to the equation, and solve it for b:

[tex]6=3(1)+b[/tex]

[tex]6=3+b[/tex]              subtract 3 from both sides

[tex]3=b\to b=3[/tex]

Finally:

[tex]y=3x+3[/tex]

Answer:

V = 1261 mm2

Step-by-step explanation:

Hello

V = Pi*(r^2)*h

V = Pi*([56]^2)*(128=

V = 1261 mm2

Best regards

The volume of the right circular cylinder is approximately 1,261,852.32 cubic centimeters (rounded to the nearest hundredth).

To find the volume of a right circular cylinder, we use the formula:

V = πr2h

where V is the volume, π is the value of pi (approximately 3.14), r is the base radius, and h is the height. Plugging in the given values:

V = 3.14 * 562 * 128

V ≈ 3.14 * 3136 * 128

V ≈ 3.14 * 401,408

V ≈ 1,261,852.32

Therefore, the volume of the right circular cylinder is approximately 1,261,852.32 cubic centimeters (rounded to the nearest hundredth).

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Answer:

(w + 11)(w + 7)

Step-by-step explanation:

Consider the factors of the constant term ( + 77) which sum to give the coefficient of the w- term ( + 18)

The factors are + 11 and + 7, since

11 × 7 = 77 and + 11 + 7 = + 18

w² + 18w + 77 = (w + 11)(w + 7)

Answer:

[tex]\large\boxed{w^2+18w+77=(w+11)(w+7)}[/tex]

Step-by-step explanation:

[tex]w^2+18w+77\\\\77=7\cdot11\\18=7+11\\\\w^2+18w+77=w^2+11w+7w+77=w(w+11)+7(w+11)\\\\=(w+11)(w+7)[/tex]

[tex]\text{Use:}\ (a+b)^2=a^2+2ab+b^2\\\\w^2+18w+77=0\qquad\text{subtract 77 from both sides}\\\\w^2+18w=-77\\\\w^2+2(w)(9)=-77\qquad\text{add}\ 9^2\ \text{to both sides}\\\\w^2+2(x)(9)+9^2=-77+9^2\\\\(w+9)^2=-77+81\\\\(w+9)^2=4\to w+9=\pm\sqrt4\\\\w+9=-2\ \vee\ w+9=2\qquad\text{subtract 9 from both sides}\\\\w=-11\ \vee\ w=-7\\\\(w-(-11))(w-(-7))=(w+11)(w+7)[/tex]

Area = r^2 x PI

to find r take the square root of the area:

r = √100 = 10

The circumference of a circle is the diameter times PI.

The diameter is 2 times r = 2 x 10 = 20

The circumference = 20PI m

The answer is C.