factor: 3x^2 + 2x - 21

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:

-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

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 :)

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:

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:

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:

(0,3) (6,0)

Step-by-step explanation:

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:

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:

yes!

Step-by-step explanation:

hi, that is correct. 3800 is a constant, meaning it is consistent and the initial height of the plane before it starts its descent.

Answer: A.) B.) D.)

Step-by-step explanation:

It's logic. If you know multiplication it's easy. It's okay I'm horrible at math.

Answer:

The answer to your question is :The value of 5× = 110°

Answer:

This would be linear.

Step-by-step explanation:

Linear would be multiplying by a number.

Exponential would be multiplying to a power.

Answer:

1/6 or 16 %

Step-by-step explanation:

hope this helps

Answer:

We know that

November has 30 days, which means 4 weeks and 2 days.

Step-by-step explanation:

Now, 4 weeks will contain 4 Sunday.

The remaining 2 days may be :

1. Sunday and Monday

2. Monday and Tuesday

3. Tuesday and Wednesday

4. Wednesday and Thursday

5. Thursday and Friday

6. Friday and Saturday

7. Saturday and Sunday

Total number of possible outcomes = 7

Now, favourable outcomes are : Sunday and Monday, Saturday and Sunday

Number of favourable outcomes = 2

Required probability (P)= Number of favourable outcomes /Total number of possible outcomes

P = 2/7

to solve this you would use pythagorean theorm which is a^2+b^2=c^2.

The hyotenuse is obviouly 11 and one of the side lengths is 4 so you would put 4^2+b^2=11^2 which is 16+b^2=121. You subtract 16 to get b^2 = 105 and then square root both sides, So the answer would be √105.

Answer:

y = 2x + 11

plug the values into y = mx+b:

3 = 2(-4) + b

solve, and you get

3 = -8 + b

b= 3+8 = 11

so, the equation is y = 2x+11

Answer:

Exact form: x = [tex]\frac{-64}{5}[/tex]

Decimal form: x = -12.8

Mixed number form: x = -12[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

x = - [tex]\frac{64}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{8}[/tex] - 4 = [tex]\frac{7}{16}[/tex] x ( multiply through by 16 to clear the fractions )

2x - 64 = 7x ( subtract 2x from both sides )

- 64 = 5x ( divide both sides by 5 )

- [tex]\frac{64}{5}[/tex] = x

Answer:

135

Step-by-step explanation:

this is the formula:

to find the sum of the interor angles of any polygon

180(n-2)

n= the number of sides a polygon has

you can find each indivual angle value or measure by dividing that sum you get by n

Answer:

135 degrees :)

Step-by-step explanation:

Answer:

Its B.

Step-by-step explanation:

If its right plz give me Brainliest :)

Answer:

√64 = 8

Step-by-step explanation:

The Square root of 64 is 8

Square of ( +/-8) is 64. Since the negative numbers inside square root results in an imaginary number, so the square root must be positive and hence +8 is a square root of 64. The Answer is 8.

What is the simplest radical form of the square root of 64?

The "simplest radical form" of √64 is √26 if we define "simplest form" as a radical of a prime to an integer power.

Using it's formula, the distance between the points A(2,6) and N(5,10) is of 5 units.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For this problem, the points are A(2,6) and N(5,10), hence the distance is given by:

[tex]D = \sqrt{(5 - 2)^2+(10 - 6)^2}[/tex]

D = sqrt(3² + 4²)

D = sqrt(25)

D = 5.

The distance between the points A(2,6) and N(5,10) is of 5 units.

More can be learned about the distance between two points at https://brainly.com/question/18345417

#SPJ1

Answer:

C. None of these

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:

             [tex]\bold{x_1=1\ ,\quad x_2=-\dfrac83}[/tex]

Step-by-step explanation:

[tex]3x^2+5x-8=0\quad\implies\quad a=3\,,\ b=5\,,\ c=-8\\\\x=\dfrac{-5\pm\sqrt{5^2-4(3)(-8)}}{2\cdot3}=\dfrac{-5\pm\sqrt{25+96}}{6}=\dfrac{-5\pm\sqrt{121}}{6}\\\\ x_1=\dfrac{-5+11}{6}=1\ ,\qquad x_2=\dfrac{-5-11}{6}=\dfrac{-16}6=-\dfrac83[/tex]

Answer:

The object coordinate Q is (-11,3 )

Step-by-step explanation:

The translation is given as : ( 6,-2 )

The image coordinates for Q' is ( -5,1 )

So, to get the coordinates of object point Q (x,y), will be;

 Q (x,y)  + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )

Thus,

x+6 = -5

x= -5-6= -11

and

y+ -2 = 1

y-2=1

y=1+2 =3

Thus the object point coordinates Q is (-11,3 )