If (8^9)p = 8^18, what is the value of p? (4 points)

2
9
10
18

Answer:

x=7 valid solution

x=4 extraneous solution

Step-by-step explanation:

sqrt( x-3) +5 = x

Subtract 5 from each side

sqrt( x-3) +5 -5= x-5

sqrt( x-3)  = x-5

Square each side

(sqrt( x-3))^2 = (x-5)^2

Foil the right side ( x-5)(x-5) =x^2 -5x-5x+25 = x^2 -10x+25

x-3 = x^2 -10x+25

Subtract x from each side

-3 = x^2 -10x -x+25

Add 3 to each side

0 = x^2 -11x +25 +3

0 = x^2 -11x+28

Factor

0 = (x-7)(x-4)

Using the zero product property

x-7 =0  x-4=0

x=7  x=4

Check the solutions

sqrt( x-3) +5 = x

x=7

sqrt( 7-3) +5 = 7

sqrt(4) +5 = 7

2 +5 = 7  valid solution

x=4

sqrt( 4-3) +5 = 4

sqrt(1) +5 = 4

1 +5 = 4    not true   extraneous solution

Answer:

Circumference of the circle = 17.8 units

Area of the circle = 25.1 square unit

Step-by-step explanation:

Formula to get the circumference of a circle = 2πr

Where r = radius of the circle

Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)

r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]

r = [tex]2\sqrt{2}[/tex] units

Therefore, circumference = 2π(2√2)

                                           = 17.77

                                           ≈ 17.8 units

Area of the circle = πr²

                             = π(2√2)²

                             = 8π

                             = 25.13

                             ≈ 25.1 square unit

[tex]\large\underline{\underline{\red{\sf \blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Given linear equⁿ : x - 2y = 6 .

So , on drawing its graph , the points though which it passes , the coordinates of that particular point will be a solution for this linear equⁿ .

Here , taking the given equⁿ & drawing its graph ,

⇒ x - 2y = 6 .

⇒ x = 6 + 2y .

Now , for a given value of y , x will also have some values .

[tex]\boxed{\begin{tabular}{|c|c|c|}\cline{1-3} \bf x & 6 & 8 \\ \cline{1-3} \bf y & 0 & 1 \\\cline{1-3} \end{tabular}}[/tex]

Now , it's clear that the required order pair which will be solution of the equⁿ can be ( 6 , 0 ) or ( 8 , 1 ) . But since it is a straight line it will have infinite number of solutions .

[ Also Refer to graph in the attachment ]

The ordered pair which will be the solution of the equation can be ( 6, 0 ) or ( 8, 1 ).

Given that,

Equation; [tex]\rm x-2y =6[/tex]

We have to determine,

An ordered pair (x, y) is a solution to the equation?

According to the question,

An ordered pair refers to a number written in a certain order. An ordered pair is used to show the position on a graph,

Where the "x" (horizontal) value is first, and the "y" (vertical) value is second. Also in the co-ordinate system, ordered pair is used to locate a point.

The points through which it passes, the coordinates of that particular point will be a solution for this linear equation.

Here, taking the given equation & drawing its graph,

Equation; [tex]\rm x-2y =6[/tex]

The equation can also be written as,

[tex]\rm x-2y =6\\\\x = 6+2y[/tex]

An ordered pair of the solution is found when substitute y = 0,

[tex]\rm x = 6+2y \\\\x= 6+2(0)\\\\x = 6+0\\\\x = 6[/tex]

And another ordered pair of the solution is found when substitute y = 1,

[tex]\rm x = 6+2y \\\\x= 6+2(1)\\\\x = 6+2\\\\x = 8[/tex]

Hence, the required order pair which will be the solution of the equation can be ( 6, 0 ) or ( 8, 1 ).

For more details refer to the link given below.

https://brainly.com/question/12926248

Answer:

Z^10

Step-by-step explanation:

Answer:

multiply 5*2=10

your answer will be =z^10

Step-by-step explanation:

Answer:

it will be (3)

Step-by-step explanation:

since DB is a median

then DB= half AC , AB=BC

then AB=BD

then the two triangles are isosceles

The required m∠BDC is 32° .

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

According to the given question ;

DB is a median;

By the symmetry ;

Then DB = half AC ,

        = AB = BC

Then= AB = BD

In a triangle, a line that connects one corner (or vertices ) to the middle point of the opposite side is called a median. A property of isosceles triangles, which is simple to prove using triangle congruence, is that in an isosceles triangle the median to the base is perpendicular to the base.

Then the two triangles are isosceles.

Means m∠DAB = m∠BDC = 32°

For the more information about the properties of isosceles triangle click the link given below.

https://brainly.in/question/13106654

Answer:

0, -1

1, 5

(Hope it helped)

Answer:

I believe the slope is 6  

Step-by-step explanation:

6x - y = 1

- y = - 6x + 1

-1 ( - y = - 6x + 1)

y = 6x + 1

6 = slope

Answer:

62.5%

Step-by-step explanation:

Thw price markdown will be 62.5%

Answer a I think

Step-by-step explanation:

Answer:

they add one half to each number

Answer:

$60

Step-by-step explanation:

180/3 = 60

I hope this helps :)

Answer:60 per hour

Step-by-step explanation: you divide 180 by 3

Answer:

Step-by-step explanation:

To evaluate the expression 2% 0f 6700, we can follow the steps;

2% = 2/100

6700 = 67(100)

2% of 6700 = 2/100 * 67(100)

The 10 at the numerator will cancel out that at the denominator

2/100 * 67(100) = 2(67)

2(67) = 134

Answer:

Write 2% as the ratio 2/100. Write the equivalent ratio_?_ . (100)(67)= 6700, so (2)(67)=134

6700

Step-by-step explanation: Just did it on edg 2020. IF THIS HELPS IT IS C.

Answer:

-0.39794000867

Step-by-step explanation:

This is the table in which we can see the values of two squared, two cubed, and so on. This is an operation in mathematics, known as exponentiation. If we look at the numbers at the bottom line, we can try to find the power value to which 2 must be raised to get this number. For example, to get 16, it is necessary to raise two to the fourth power. And to get a 64, you need to raise two to the sixth power. Also this is totally the answer

Answer:

1

Step-by-step explanation:

[tex]\frac{log_{10}(2) }{log_{10}(4)-log_{10}(2) }[/tex]

[tex]\frac{log_{10}(2)}{2log_{10}(2)-log_{10}(2) }[/tex]

Add similar elements [tex]\frac{log_{10}(2) }{log_{10}(2) }[/tex]

Apply rule [tex]\frac{a}{a}=1[/tex]

=1

Step-by-step explanation:

I hope it will help you here's the answer

Answer:

43200 feet per hour

Step-by-step explanation:

Answer:

5(8x + 6y), 10(4x + 3y), 2(20x + 15y)

Step-by-step explanation:

(5x *8) + (5x *6) = 40x + 30x no

(5 * 8x) + (5 *6y) = 40x + 30y yes

10*40x + 10*30y = 400x + 300y no

10*4x + 10*3y = 40x + 30y yes

2y *20x + 2y*15 = 40xy + 30y no

2*20x + 2*15y = 40x + 30y yes

The expressions that are equivalent to (40x + 30y) is (10(4x + 3y)) and (2(20x + 15y)) and this can be determined by using the arithmetic operations.

Given :

Expression  --  (40x + 30y)

The following steps can be used in order to determine the expressions that are equivalent to (40x + 30y):

Step 1 - The arithmetic operations can be used in order to determine the expressions that are equivalent to (40x + 30y).

Step 2 - Take the 10 common in the given expression.

= 40x + 30y

= 10(4x + 3y)

Step 3 - Also can take 2 common in the given expression.

= 40x + 30y

= 2(20x + 15y)

Therefore, the correct option is D) and F).

For more information, refer to the link given below:

https://brainly.com/question/25834626

Answer:

If

5

a

=

1

125

, find the value of a?

Step-by-step explanation:

There is a base f

5

on the left side, so write the denominator on the right as a base of

5

as well.

5

a

=

1

125

5

a

=

1

5

3

Move the base to the numerator.

5

a

=

5

−

3

If the bases are equal, the indices are equal:

∴

a

=

−

3

Answer:

360 degrees

Step-by-step explanation:

a rectangle has a total of 360 degrees and all the x and y values are at the corners so...

Answer:

x=±√130+12

I believe :-)

no idea

Step-by-step explanation:

u can use google for this if u r in hurry

Answer:

nothing in the first blank +3 or 3 in the second blank and +1 or 1 in the last blank

Step-by-step explanation:

Answer:

(0,3) (6,0)

Step-by-step explanation:

Equations: 60x + 3000 = 3,000, 600 + 150y = 3000

X: 20

Y: 10

You should solve for x & y

Q1: 0, it's already filled up to the max of 3000 pounds.

Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16

I hope this helped, ask if you need more help :)

Answer:

This would be linear.

Step-by-step explanation:

Linear would be multiplying by a number.

Exponential would be multiplying to a power.

Answer:

You need to solve it like a rectangle

Scale 1cm = 30Yd

Formula = A=lxw

Length = 7x30=210yd

Height = 4x30=120yd

Answer 120x210= 25,200 sq. yd.

Right, make sense?

Answer:

25200 square yards

Step-by-step explanation:

Reminder: the area of a parallelogram is its length times its height. In that case, it would be 4cm*7cm.

But you have to remember that 1 cm represents 30 yards, so you have to multiply everything by 30 first, and then solve:

4*30 yards * 7*30 yards

= 120 yards * 210 yards

= 25200 square yards.

The correct answer is Farah's mixture

Explanation:

In this situation, how strong chocolate flavor is in the mix depends on the ratio of ingredients as more cocoa leads to a stronger chocolate flavor.

Rasu:

Her ratio was 3 teaspoons of cocoa mix and 2 cups of milk. This can be expressed as 3:2  or [tex]\frac{3}{2}[/tex]. Also, this can be simplified by dividing the amount of cocoa into the amount of milk 3 ÷ 2 = 1.5. This means for each cup of milk Rasu added 1.5 teaspoons of cocoa.

Farah:

The ratio was 5 teaspoons of cocoa mix and 3 cups of milk. So, the ratio is 5 : 3 or [tex]\frac{5}{3}[/tex], which is equal to 1.6. This implies for each cup of milk Farah added 1.6 teaspoons of cocoa. This ratio of cocoa vs milk is higher in Farah, which means he added more cocoa, and her mix would have a stronger chocolate flavor.

Answer: Parallel and same slope

Step-by-step explanation: Parallel means that the lines will never cross, which is shown in the picture. Basically they won't intersect.

branliest plssss :)