When was the first Bible created?????

they're equidistant, so distance should be equal.

distance of City centre is [tex]\sqrt{0^2+7^2}=7[/tex]

distance of mall is simply $x$. (ordinate is 0, means the point is on x axis , and that's the distance from origin)

thus, $$x=7$$

In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it

Answer:

A. x > -1 or x < -1

Step-by-step explanation:

5x - 29 > -34                     or                   2x + 31 < 29

Add 29 to both sides.                             Subtract 31 from both sides.

5x > -5                              or                    2x < -2

Divide both sides by 5.                          Divide both sides by 2.

x > -1                                 or                    x < -1

Answer: x > -1 or x < -1

Answer:

-12 & -18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:

[tex]M=(\frac{3+6}{2},\frac{5-7}{2})\\M=(\frac{9}{2},\frac{-2}{2})\\M=(\frac{9}{2},-1)[/tex] So the "new" line will go through this point.

Onto the slope:

[tex]m=\frac{-7-5}{6-3}\\m=\frac{-12}{3}[/tex]so the slope is

m = -4. That means that the perpendicular slope is

[tex]m=\frac{1}{4}[/tex] Now we're ready to write the equation:

[tex]y-5=\frac{1}{4}(x-3)[/tex] and

[tex]y-5=\frac{1}{4}x-\frac{3}{4}\\y=\frac{1}{4}x-\frac{3}{4}+\frac{20}{4}[/tex] and finally,

[tex]y=\frac{1}{4}x+\frac{17}{4}[/tex]

Answer:

Step-by-step explanation:

A(3, 5)   ; B(6,-7)

Let's find the slope of AB = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

                                         [tex]=\dfrac{-7-5}{6-3}\\\\=\dfrac{-12}{3}\\\\= - 4[/tex]

m = -4

Slope of the perpendicular line to AB = -1/m = [tex]\dfrac{-1}{-4}=\dfrac{1}{4}[/tex]

The perpendicular line of AB is bisector also. So, it goes through the midpoint of AB

Midpoint of AB = [tex](\dfrac{x_{1}+x_{2}}{2}, \dfrac{y_{2}-y_{1}}{2})[/tex]

                         [tex]=(\dfrac{3+6}{2},\dfrac{5+(-7)}{2})\\\\=(\dfrac{9}{2},\dfrac{-2}{2})\\\\=(\dfrac{9}{2},-1)[/tex]

Equation of require perpendicular line: y - y1 = m (x -x1)

[tex](x_{1},y_{1})= (\dfrac{9}{2},-1)\\ \\m =\dfrac{1}{4}\\\\y-[-1]=\dfrac{1}{4}(x-\dfrac{9}{2})\\\\y+1=\dfrac{1}{4}x-\dfrac{1}{4}*\dfrac{9}{2}\\\\y=\dfrac{1}{4}x-\dfrac{9}{8}-1\\\\y=\dfrac{1}{4}x-\dfrac{9}{8}-\dfrac{8}{8}\\\\y=\dfrac{1}{4}x-\dfrac{17}{8}[/tex]

Answer:

Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.

Step-by-step explanation:

Answer:

white: 1/3, blue: 1/4, red: 5/12

Step-by-step explanation:

Take the amount of balls each color has and divide by 12.

White:

4/12 = 1/3

Blue:

3/12 = 1/4

Red:

5/12 (can't simplify)

Answer:

3/44 or 0.068

Step-by-step explanation:

(3/12 × 2/11 × 1/10)+(5/12 × 4/11 × 3/10)+(4/12 × 3/11 × 2/10)

=3/44

Perimeter of square = Perimeter of rectangle

=> 4(side) = 2(length + width)

=> 4(x+5) = 2[(x+3)+(x+7)]

=> 4(x+5) = 2[x+3+x+7]

=> 4x + 20 = 2x + 6 + 2x + 14

=> 4x + 20 = 4x + 20

=> 4x - 4x + 20 = 20

=> 20 = 20

So, any real number is the solution of this equation. It means that for every real number as x, the perimeter of the square will be same as the perimeter of the rectangle.

Answer:

[tex]3\sqrt{3}[/tex]

[tex]\left(\frac{\left(6\cdot \:\:\:sin\left(30\right)\right)}{sin\left(90\right)}\right)^2+x^2=36[/tex]

Step-by-step explanation:

Answer:

70.7 deg, 19.3 deg

Step-by-step explanation:

The sum of the measures of complementary angles is 90 deg.

One angle measures x.

The other angles measures 51.4 deg less than x, or x - 51.4.

The sum of their measures equals 90.

x + x - 51.4 = 90

2x - 51.4 = 90

2x = 141.4

x = 70.7

x - 51.4 = 70.7 - 51.4 = 19.3

Answer: 70.7 deg, 19.3 deg

Answer:

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

[tex]36x^3,\:22x^2,\:4xy[/tex]

Factor 36x³

Factor 22x²

Factor 4xy

Common factor

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

[tex]36x^3-22x^2-12x[/tex]

Factor 36x³

Factor 22x²

Factor 12x

Common factor

OAmalOHopeO

Answer:

5/6 pounds

Step-by-step explanation:

A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.

Given the following :

Amount of corn meal purchased = 5 pounds

Number of people to share = 6 families

Assume, it is divided equally among them;

Then; each family gets ;

(Pounds of corn meal purchased/number of families) ;

5 / 6 pounds of corn meal will be distributed to each family.

Answer:

128

Step-by-step explanation:

Explanation:

Assuming you meant to say

P(A) = 11/20

P(B|A) = 13/20

then,

P(A∩B) = P(A)*P(B|A)

P(A∩B) = (11/20)*(13/20)

P(A∩B) = (11*13)/(20*20)

P(A∩B) = 143/400

Answer:

-2> -3

Step-by-step explanation:

when in the minuses, the lower the number, the bigger it really is!

Answer:

-2> -3

Step-by-step explanation:

Answer:

1) x= 7 and y =2

Step-by-step explanation:

mark me as brainliest please

Answer:

x =7

y =2

eqn 1 - eqn2

5x-2x=3x

3y-3y=0

41-20=21

3x=21

x=7

in eqn 1;

5×7)+3y=41

35+3y=41

3y=6

y=2

Answer:

10

Step-by-step explanation:

(-1 - 3i)(-1 + 3i) = 1 - 3i + 3i -9i²

1 - 9i²; i² = -1, therefore 1 - 9(-1) = 1 + 9 = 10

Answer:

19.504

Step-by-step explanation:

divide the mass value by 2.205

Answer: 1/6

Step-by-step explanation:

Probability of getting heads = 50/100

= 1/2

Probability of tossing a 3 or 5 = 2/6

= 1/3

Now probability of getting both = 1/2×1/3

= 1/6

Please click thanks and mark brainliest if you like

Answer:

1/6

Step-by-step explanation:

There are two possible outcomes for tossing a coin

heads and tails

P(heads)= heads/ total = 1/2

Rolling a die has 6 possible outcomes 1,2,3,4,5,6

P*3 or 5) = 3 or 5 /total = 2/6 = 1/3

Multiply the probability of independent events together

1/2 * 1/3 = 1/6

Answer:

16% of MP

Step-by-step explanation:

Key concepts to learn :

Discount is always applied on marked price.

Profit = SP - CP

VAT is applied on Selling Price

SP = 10170/113 x 100 = 9000

If profit is 20% then :

CP = 9000/120 x 100 = 7500

MP = 9000/90 x 100 = 10000

For 12% profit, SP = 7500 x 112/100 = 8400

=> SP = 8400/10000 x 100 = 84% of MP

=> Discount = 16% of MP

The answer is shown below:

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.

1+5.2 + (1+3)²

=1+10 + 16

=27

0.25*4³-1

=0.25*64-1

=16-1

=15

4+8(1/4+2)

=4+8(9/4)

=4+2*9

=4+18

=22

Learn more about expression here:

https://brainly.com/question/13947055

#SPJ6

Answer:

[tex]\Huge \boxed{\mathrm{61.22 \ m}}[/tex]

Step-by-step explanation:

A stone is thrown downward straightly with the velocity of 20 m/s and it reaches the ground at the velocity of 40 m/s. What will be the height of building? (Question)

The initial velocity ⇒ 20 m/s

The final velocity ⇒ 40 m/s

We can apply a formula to solve for the height of the building.

[tex](V_f)2 - (V_i)^2 =2gh[/tex]

[tex]V_f = \sf final \ velocity \ (m/s)[/tex]

[tex]V_i = \sf initial \ velocity \ (m /s)[/tex]

[tex]g = \sf acceleration \ due \ to \ gravity \ (m/s^2 )[/tex]

[tex]h = \sf height \ (m)[/tex]

Plugging in the values.

Acceleration due to gravity is 9.8 m/s².

[tex](40)^2 - (20)^2 =2(9.8)h[/tex]

Solve for [tex]h[/tex].

[tex]1600 - 400 =19.6h[/tex]

[tex]1200 =19.6h[/tex]

[tex]\displaystyle h=\frac{1200}{19.6}[/tex]

[tex]h= 61.22449[/tex]

The height of the building is 61.22 meters.

Answer:

D) 7 meters

Step-by-step explanation:

So I would start this off by plugging in the variables into side B. So if we were to plug 7 into B there would be 22 meters left of the perimeter. Therefore meaning 22 between A and C. Now A is 3 meters shorter than TWICE of B. So 7 times 2 is 14 and 14 minus 3 is 11. now we have 11 and 7 which equals 18. 29 minus 18 giving us 11 left. 11 is C. Now it says c is 4 meters longer than B so it 7 plus 4 is 11. And everything adds up. HOPE THIS HELPS.

Answer:

Side b=7 meters

Step-by-step explanation:

Given:

Perimeter of triangle=29m

Side a=2b-3

Side b=b

Side c=4+b

To find:

Side b

Solution:

P of triangle=a+b+c

29=2b-3+b+4+b

29=2b+b+b+4-3

29=4b+1

29-1=4b

b=28/4

b=7m

I hope my answer is right.

Answer:

Step-by-step explanation:

Do this by converting the numbers to decimals

9 1/4 inches / 12 inches / foot = .770833 feet to 6 decimal places.

9.770833 feet is the length of the given board.

11.25 inches = 11.25 / 12 = 0.9375 feet

So the amount of board used is 9.770833/0.9375 = 10. 42222 feet used in cutting up the board.

Therefore there is 10.42222187 board cut up. The decimal is the remainder.

0.42222187 * 12 = 5.066 inches or rounded to 5 inches.

Answer:

l = 2, m = - 1, n = - 6

Step-by-step explanation:

A scalar matrix has its diagonal elements equal and all other elements zero, so

2l - 4 = 0 ( add 4 to both sides )

2l = 4 ( divide both sides by 2 )

l = 2

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

3l + n = 0

3(2) + n = 0

6 + n = 0 ( subtract 6 from both sides )

n = - 6

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

3m - n = 3

3m - (- 6) = 3

3m + 6 = 3 ( subtract 6 from both sides )

3m = - 3 ( divide both sides by m )

m = - 1

(x-p)(x-q)

y(x-q) .... let y = x-p

yx - yq ... distribute

x(y) - q(y)

x(x-p) - q(x-p) ... replace y with x-p

x^2 - px - qx + pq .... distribute

x^2 + (-p-q)x + pq

The last expression is in the form ax^2+bx+c with a = 1, b = -p-q and c = pq

The constant term is the term without any variable x attached to it (either x or x^2), so the constant term is pq

Answer:

  swap the middle two steps to put them in order

Step-by-step explanation:

The steps in order would be ...