Angle sum theorem. y=?

Hi ;-)

[tex](r+2)(r-3)=0\\\\r+2=0 \ \vee \ r-3=0\\\\\boxed{r=-2} \ \vee \ \boxed{r=3}[/tex]

Answer:

r = -2 , 3

Step-by-step explanation:

(r + 2)(r -3) = 0

r + 2 = 0                                      ;  r - 3 = 0

Subtract 2 from both sides       ;  add 3 to both sides

    r = -2                                      ; r = 3

r = -2 , 3

Answer:

p(14,9)

Step-by-step explanation:

steps are in picture.

Note: if you have any question about it you can ask.

Answer:

The answer is 200000 milligrams

Hope that helped you

Answer:

r = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given the proportional equation

y = rx ← r is the constant of proportion

Divide both sides by x

[tex]\frac{y}{x}[/tex] = r

Use any ordered pair from the table.

Using (8, 2 ) , then

r = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

1/4

Step-by-step explanation:

Multiplying the input (x) by (1/4) results in the output.  This is direct proportion, and the constant of proportionality is (1/4).

Answer:

Step-by-step explanation:

Area of the rectangle = length * width

            = (9x - 2)(2x + 5)

            Use FOIL method

            = 9x*(2x) + (9x)*(5) + (-2)*(2x) + (-2)*5

            = 18x² + 45x - 4x - 10          {Combine like terms}

           = 18x² + 41x - 10

Let's assume that the original length of the piece of board is L.

Now you cut two pieces that are 3.4 ft long, so the remaining piece of board is:

L - 3.4ft - 3.4ft = L - 6.8ft long.

Now we know that the remaining must be 2.35 times longer than the pieces of 3.4 ft, then we have the equation:

( L - 6.8ft) = 2.35×3.4ft

solving that for L we get:

L  = 14.79ft

Rounding to the nearest tenth, we get:

L = 14.8ft

You should buy a piece of board that is 14.8 feet long.

If you want to learn more, you can read:

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Answer:

Step-by-step explanation:

Those two angles are equal. They are corresponding angles.  In two parallel lines crossed by a transversal. 8 angles are produced. 4 have one value and the other 4 are supplementary to the first four.

These 2 are part of the first group of 4.

So 12x -  8 = 104

12x - 8 + 8 = 104 + 8

12x = 112

x = 9 1/3

Answer: The profit percent is 20%

Step-by-step explanation:

CP = Rs 10,000

SP = Rs 12,000

so

Profit% = (12,000-10,000)/10,000 * 100%

          = 2,000/10,000 * 100%

          = 1/5 * 100%

          = 20%

Answer:

2000 gain

Step-by-step explanation:

Answer:

550, 575, 596, 602

Answer:

Anything greater or equal to 550 will be rounded to 600

and anything less than 650 will be rounded to 600,  

So the numbers are:-  

550  

575  

596

602

Answer:

The answer depends on x.value

Step-by-step explanation:

I. It's linear equation

          y = mx + b

when y is output, x is input, m is slope and b is addition

   So if x = -1

          y = -4/3(-1) - 2

             = 4/3 - 2

             = (4-6)/3

           y = -2/3

   It will be something like this (-1, -2/3) when -1 is x.value, -2/3 is y.value        

You can given x.value be anything like 0, 1, 2, 3 the graph will be like this

(Picture is only example)

Answer:

Step-by-step explanation:

10) First find the capacity of the swimming pool.

Volume of the swimming pool= length * depth  *width

                                                 = 15 * 1.5 * 5

                                                  = 112.5 cubic meter

1 cubic meter= 1000 liters

112.5 cubic m = 112.5* 1000 = 112,500 liters

Quantity of salt added to every 10 000 liters = 2 Kg

Quantity of salt added to  112,500 liters =  [tex]\dfrac{2}{10000}*112500[/tex]

       = 22.5 Kg

Answer:

60

Step-by-step explanation:

Greatest common factor of 360 and 150 is 30

that means one side of square-size plots will be 30 m

our total area is 360x150

area of square-size plot is 30x30

360x150/30x30 = 12x5 = 60

[tex] \implies \sqrt{ \dfrac{36}{169} } [/tex]

[tex] \implies \sqrt{ \dfrac{6 \times 6}{13 \times 13} } [/tex]

[tex] \implies \sqrt{ \dfrac{ {6}^{2} }{ {13}^{2} } } [/tex]

[tex] \implies \sqrt{ \left(\dfrac{ {6} }{ {13} } \right)^{2} } [/tex]

[tex] \implies {\left(\dfrac{ {6} }{ {13} } \right)^{2 \times }}^{ \frac{1}{2} } [/tex]

[tex] \implies \left(\dfrac{ {6} }{ {13} } \right)[/tex]

This is your answer.

The answer is 6/13 sq rt of 36 is 6 and sq rt of 169 is 13.

6t=9

Since the top tape diagram has 6 parts and labeled t (The same size as the bottom diagram), we multiply it, so: 6xt= 6t. 9 is the label of the bottom diagram. That means there are the same or equal to each other.

I hope I've helped!

Answer:

[tex] \sqrt{5hk} \times \sqrt{10 {h}^{4}k } \\ = \sqrt{5hk10 {h}^{4} k} \\ \sqrt{50 {h}^{5} {k}^{2} } \\ thank \: you[/tex]

150h^5k^2

hers the answer

Step-by-step explanation:

Let the number be x, then

-4(x+29)

Answer:

well the circumference is the area of the circle so if you know the diameter then you divide that number by 2

Answer:

Reflect over the line x = 1

Step-by-step explanation:

ΔA'B'C' is the mirrored of ΔABC

But the reflection is over x = 1, because there is 3 units between the triangle and the line.

If my answer is incorrect, pls correct me!

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-Chetan K

A major problem with interval lengths that are too small is that it masks the shape of the distribution.

The interval length used in a distribution may be described as the size of the class or the class width. The interval length is usually important when drawing histograms and other related graphs for a grouped distribution.

The most significant effect of using a class interval which is too small is that it masks the actual shape of distribution, Hence preventing it from being distinct.

For best practice, it is essential that the class interval is of moderate width, hence enabling us to have a distribution which isn't maksed nor exaggerated.

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1 dozen = 12

3 dozen = 3 x 12 = 36

36/8 = 4.5

They need 4.5 times the amount:

4.5 x 1.5 teaspoons = 6.75 teaspoons ( 6 3/4)

Answer:

It is 1.68 so 168%

Step-by-step explanation:

Answer:

ASA theorum

Step-by-step explanation:

we are given 1 side and 1 angle, other angle is vo of it corresponding equal angle

Answer:

Step-by-step explanation:

n = 7 so it is:

5(7) - 4

= 35 - 4

= 31.

Answer:

Step-by-step explanation:

Answer 10 inches

To find how many inches will equal 25 miles on the the map use the info they have already given u.

4in=10

8in=20

10in=25

Answer:

The general equation of a slope-intercept form is as below;

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

m » slope / gradient

c » y - intercept

x » x - intercept

Since our equation is 5x + 2y = -6, make y the subject:

[tex]5x + 2y = - 6 [/tex]

subtract 5x from either sides:

[tex](5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6[/tex]

apply the division rule of equality:

[tex] \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}[/tex]

slope » -5/2

y - intetcept » -3

We know

[tex]\\ \sf\longmapsto tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \sf\longmapsto tan(<R)=\dfrac{PQ}{PR}[/tex]

The expressions are equivalent to tan R = PQ / PR. Where PQ is perpendicular, and PR is the base.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The triangle PQR is given,

∠R=90°

As we know that the tangent is the ratio of the perpendicular and base.

Geometry is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

When P is right-angled and R is theta, PQ is perpendicular, and PR is the base if P is right-angled.

tanθ=P/B

tanR=PQ / PR.

Thus, the expressions are equivalent to tan R = PQ / PR. Where PQ is perpendicular, and PR is the base.

Learn more about the right-angle triangle here:

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Answer and Step-by-step explanation:

15.  [tex]-\frac{27}{20}[/tex] or [tex]-1\frac{7}{20}[/tex]

-1.35 = -135/100 = [tex]-1\frac{35}{100}[/tex]  (Mixed number)

Multiply the number by 100, then divide the number by 100 (but keep it in fraction form).

-1.35 x 100 = -135

[tex]-\frac{135}{100}[/tex] = [tex]-\frac{27}{20}[/tex]

(Mixed Fraction = . To check, multiply the 20 by the 1, then add 7, to get -27/20)

18. [tex]\frac{49}{11}[/tex] or [tex]4\frac{5}{11}[/tex]

4.45 = 49/11 = [tex]4\frac{5}{11}[/tex]

4.4545.....

Multiply the number by 100 (because there is 2 numbers being repeated.

445.4545....

Now subtract by the original number.

445.4545....

-   4.4545....

441.00

Write this as an equation:

(100 x fraction) - fraction = 441           (100 x fraction) - fraction = 99 x fraction

99 x fraction = 441   (Divide both sides by 99)

fraction = [tex]\frac{441}{99}[/tex] (which simplifies down to [tex]\frac{49}{11}[/tex])

#teamtrees #PAW (Plant And Water)

Answer:

ANSWER IS BELOW

Step-by-step explanation:

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Explanation:

A quadratic function can be written in vertex form as:

f

(

x

)

=

a

(

x

−

h

)

2

+

k

where

(

h

,

k

)

is the vertex and

a

is a constant multiplier.

In our example the vertex

(

h

,

k

)

is

(

3

,

4

)

, so we can write:

f

(

x

)

=

a

(

x

−

3

)

2

+

4

Given that this passes through the point

(

1

,

2

)

, we must have:

2

=

a

(

1

−

3

)

2

+

4

=

4

a

+

4

Subtract

4

from both ends to get:

−

2

=

4

a

Divide both sides by

4

and transpose to find:

a

=

−

1

2

So our quadratic function can be written in vertex form as:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

We can multiply this out and simplify as follows:

f

(

x

)

=

−

1

2

(

x

−

3

)

2

+

4

f

(

x

)

=

−

1

2

(

x

2

−

6

x

+

9

)

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

9

2

+

4

f

(

x

)

=

−

1

2

x

2

+

3

x

−

1

2

Answer:

208

Step-by-step explanation:

The division result is: Quotient: [tex]3x^2 + 9x^2 - 107x^2[/tex], Remainder: -33 Here's the polynomial division step by step:    [tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2[/tex]

Step 1: Divide the highest degree term of the dividend by the highest degree term of the divisor:

       [tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2[/tex]

                [tex]9x^4 + 3x^2[/tex]

                    ---------------

                            [tex]-12x^3 + 103x^2[/tex]

Step 2: Multiply the divisor by the result from step 1 (3x^2 + 1) and subtract the result from the dividend:

     [tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2\\[/tex]

                    [tex]9x^4 + 3x^2[/tex]

                    ---------------

                           [tex]-12x^3 + 103x^2[/tex]

                            [tex]-12x^3 - 4x^2[/tex]

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

                                   [tex]107x^2 + 2[/tex]

Step 3: Divide the highest degree term of the new dividend (107x^2) by the highest degree term of the divisor (3x^2), and perform the division:

       [tex]3x^2 + 1 | 9x^4 - 12x^3 + 103x^2 + 2[/tex]

                    [tex]9x^4 + 3x^2[/tex]

                    ---------------

                            [tex]-12x^3 + 103x^2[/tex]

                            [tex]-12x^3 - 4x^2[/tex]

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

                                     [tex]107x^2 + 2 \\ 107x^2 + 35[/tex]

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

                                                -33

Since the result (-33) has a lower degree than the divisor (3x^2 + 1), we can't proceed with further division.

So, the division result is:

Quotient: [tex]3x^2 + 9x^2 - 107x^2[/tex]

Remainder: -33

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Correct Question is:

Divide [tex](9x^4 - 12x^3 + 103x^2 + 2)\ by \ (3x^2 + 1)[/tex]

Answer:

Step-by-step explanation:

If Anna's dad is 36 and is 9 times her age, then Anna's age is 36/9 which is 4.

Check yourself: Anna is 4. Her dad is 9 times her age and 4(9) = 36.