Problem 2 : Using in the pattern in the image below, how many dots would be in Step 4

Answer:

m=-2

Step-by-step explanation:

Answer:

A) x + 5y = 20

B) x + 3y = 14

Multiplying A) by -1

A) -x -5y = -20 then adding B)

B) x + 3y = 14

-2y = -6

y = 3

x = 5

Step-by-step explanation:

Answer:

c or b

tep-by-step explanation:

Answer:

21/5 when simplified

Answer:

4  1/5

Step-by-step explanation:   6  20  5  58

7/9 × 27/5  =  (7×27) / (9 × 5)

                 =   189 / 45           divide numerator and denominator by 3

                 =    63 / 15            simplify

                 =     4 3/15

                 =     4  1/5

Answer:

20

Step-by-step explanation:

The numbers whose product are to be obtained :

(–24.98)(–1.29)

To use front end approximation, numbers are rounded to the greatest place value :

For :

(-24.98) is rounded to - 20 (4 is rounded here to 0)

(-1.29) is rounder to - 1 (2 is rounded to 0)

Then, the product of the two numbers will be :

-20 * - 1 = 20

Answer:

8. x = 16

9. x = 10

14.

m ∠RSU = 130°

m ∠UST = 50°

15.

m ∠RSU = 124°

m ∠UST = 56°

Step-by-step explanation:

8.

Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF

That is , (x + 15)° = 31°

                x = 31 - 15 =  16

9.

Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF

That is ,

           (6x - 4)° = 56°

            6x = 56 + 4

               6x = 60

                 x = 10

14.

13x + 5x = 180°                       [straight line angles ]

18x = 180

x = 10

m ∠RSU = 130°

m ∠UST = 50°

15.

4x + 12 + 2x = 180°                       [ straight line angles]

6x = 180 - 12

6x = 168

x = 28

m ∠RSU = 4(28) + 12 = 112 + 12 = 124°

m ∠UST = 2(28) = 56°

Answer:

14. 13x+5x

=18x

180(angles on a st. line)= 18x

180/18

=10

RSU=13*10=130

UST=5*10=50

Answer:

(-1,3)

Step-by-step explanation:

Solve for x in the first equation

3x = 6 - 3y

9x - 5y= -24

Replace all occurrences of x with 2 - y in each equation

9(2 - y) - 5y = -24

x = 2 - y

Simplify the left side

18 - 4y = -24

x = 2 - y

Solve for y in the first equation

-14y = -42

x = 2 - y

y=3

x = 2- y

Replace all occurrences of y with 3 in each equation

x=-1

y=3

(-1,3)

Hope this helps!

Please give brainliest :)

If you need more help with these types of equations reach out to me!

Simplifying

3x + 6 = 9x + -24

Reorder the terms:

6 + 3x = 9x + -24

Reorder the terms:

6 + 3x = -24 + 9x

Solving

6 + 3x = -24 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

6 + 3x + -9x = -24 + 9x + -9x

Combine like terms: 3x + -9x = -6x

6 + -6x = -24 + 9x + -9x

Combine like terms: 9x + -9x = 0

6 + -6x = -24 + 0

6 + -6x = -24

Add '-6' to each side of the equation.

6 + -6 + -6x = -24 + -6

Combine like terms: 6 + -6 = 0

0 + -6x = -24 + -6

-6x = -24 + -6

Combine like terms: -24 + -6 = -30

-6x = -30

Divide each side by '-6'.

x = 5

Simplifying

x = 5

Answer:

option A

Step-by-step explanation:

   [tex]y - 9 = \frac{2}{3} (x + 7)\\\\ y - 9= \frac{2}{3} x + \frac{14}{3}\\\\ y = \frac{2}{3} x + \frac{14}{3} + 9\\\\y = \frac{2}{3}x + \frac{14 +27}{3}\\\\y = \frac{2}{3}x + \frac{41}{3}\\\\[/tex]

Therefore, slope of the given line is

                                                    [tex]m_ 1 = \ \frac{2}{3}[/tex]

Find the slope of the new line

The product of slope of  lines perpendicular to each other = - 1

That is ,

            [tex]m_ 1 \times m_2 = - 1\\\\\frac{2}{3} \times m_ 2 = - 1\\\\m_ 2 = - \frac{3}{2}[/tex]

Find the equation of the line.

[tex]Let \the \ given \ points \ be \ ( x_ 2 , y _ 2 ) = ( 2 , 3 ) \\\\(y- y_2) = m_2 (x - x_ 2)\\\\( y - 3 ) = - \frac{3}{2}(x - 2)\\\\y = -\frac{3}{2}x + \frac{3 \times 2}{2} + 3\\\\y = - \frac{3}{2} x +3+3\\\\y = - \frac{3}{2} x +6\\\\[/tex]

Answer:

Step-by-step explanation:

Clara gave (1/2) of formal dresses to her sister. After giving, she has 1/2

of formal dresses (1- 1/2 = 1/2).

Number of formal dresses that Clara has = [tex]\frac{1}{2}*d=\frac{1}{2}d[/tex]

Clara bought 4 more dresses

[tex]\frac{1}{2}d + 4 = 12[/tex]

Answer:

We want to graph:

y = -4*sin(2*x) + 1

Such that the x-axis starts at x = 30

This is trivial to do if we use a program to graph or if we graph by hand, here we just need to draw the x-axis such that it crosses the y-axis at the point (30, 0)

Then let's graph the equation in that axis, we will get an image like the one you can see below.

Answer:

B

Step-by-step explanation:

So if B is the midpoint of AC, AB must be 1/2 of AC.

If D is the midpoint of AB, it must be 1/2 of 1/2 of AC, which is 1/4 of AC.

So AC= 4 DB

Answer:

a= 16

b= 2

Step-by-step explanation:

edge 2021

Answer:

a=16 and b=2

Step-by-step explanation:

next one is B.

Answer:

a = 78.5 cm²

Step-by-step explanation:

a = πr²

a = 3.14 * 5²

a = 3.14 * 25

a = 78.5 cm²

Answer:

7/2

Step-by-step explanation:

Answer:

I've attached the Answer

Answer:

56Pi

Step-by-step explanation:

Area of small circle:

Pi*r^2

25Pi

Area of large circle:

Pi*r^2

81Pi

Area of the 2D doughnut :

Large -small circle = 81Pi-25Pi

Answer:

A weak positive correlation

Step-by-step explanation:

The table of values of the women's age to shoe size is presented as follows;

Women's Age and Shoe Size

[tex]\begin{array}{ccc} Age&&Shoe \, size\\18&&7\\30&&10\\52&&6\\64&&9\end{array}[/tex]

We get;

The correlation coefficient, r, is given as follows;

[tex]r = \dfrac{\sum \left(x_i - \overline x \right ) \cdot \left(y_i - \overline y \right )}{\sqrt{ \sum \left(x_i - \overline x \right )^2 \cdot \sum \left(y_i - \overline y \right )^2}}[/tex]

From MS Excel, we have;

[tex]\sum \left(x_i - \overline x \right ) \cdot \left(y_i - \overline y \right )[/tex] = 2

[tex]\sqrt{ \sum \left(x_i - \overline x \right )^2 \cdot \sum \left(y_i - \overline y \right )^2}[/tex] = √13,000 = 10·√130

∴ r = 2/(10·√130) ≈ 0.01754

Therefore, given that the calculated correlation coefficient, r is positive and less than 0.2 (weak), we have

The correlation is a weak and positive.

Draw an equilateral triangle with side lengths 5 inches each. Each interior angle is 60 degrees (this is true of any equilateral triangle).

Now draw an equilateral triangle of 10 inches each. The angles will be the same as before. We can see that the triangles are not congruent. Congruent triangles must have the same side lengths, but clearly the second one is larger than the first.

This is an example of why knowing solely the congruency of the angles is not enough to prove the triangles congruent or not. We would need to know something about the sides (whether they are congruent or not) to be able to determine overall triangle congruency.

Answer:

Because even though the angles may be the same, the lengths can be different. In an isosceles triangles, this may be the case.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a = 7 ;  b = 1 ;  c = -5

D = b² - 4ac

  = 1 - 4*7*(-5)

  = 1 + 140

  = 141

x =( - b ± √D ) / 2a

 = (-1 ± √141)/2*7

 = (-1±√141) / 14

[tex]a = \frac{-1+\sqrt{141} }{14}= \frac{-1+11.87}{14}= \frac{10.87}{14}=0.78\\\\b = \frac{-1-\sqrt{141}}{14}= \frac{-1-11.87}{14}= \frac{-12.87}{14}=3.59\\\\\\[/tex]

(a -4 )(b -4) = (0.78 - 4)(-3.59-4) = (-3.22)(-7.59)

= 24.4398

Answer:

Step-by-step explanation:

When you ask "which of the following"

you must include the choices

Answer:

c =2

Step-by-step explanation:

4.5c/4.5=9/4.5

c =2

Step-by-step explanation:

the asymptotes of f(x) :

(4x-π) = π/2

4x = 3π/2 => x = 3π/8

(4x-π) = 3π/2

4x=5π/2 => x = 5π/8

the answer is

D. X= 3pi/8, x=5pi/8

Answer:

Jacket A costs 43$

Jacket B costs 55$

Step-by-step explanation:

According to the Question,

Therefore, Jacket A + Jacket B = 98

X-12+X = 98

2X = 110

X = $55 ( Cost of jacket B) & Cost of Jacket A is 55-12 = 43$ .

Answer:

x = [tex]\frac{11}{c}[/tex]

Step-by-step explanation:

Given

cx - 4 = 7 ( add 4 to both sides )

cx = 11 ( isolate x by dividing both sides by c )

x = [tex]\frac{11}{c}[/tex]

Answer:

9 over 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 + 12 - 45 = 0

solving by middle term break method

x^2 + (15 - 3) - 45 = 0

x^2 + 15x - 3x - 45 = 0

x(x + 15) - 3(x + 15) = 0

(x + 15)(x - 3) = 0

either x + 15 = 0            OR, x - 3 = 0

x + 15 = 0

x = 0 -15

x = -12

x - 3 = 0

x = 0 + 3

x = 3

therefore x = -12,3

i have done solution for the given question in two different methods.

the solution done in note copy is by using quadratic formula.

Answer:

[tex]2x^{2} +bx-3=0[/tex]

Step-by-step explanation:

General form. A quadratic function [tex]f(x)[/tex] is of the form [tex](ax^2+bx+c)[/tex] where [tex]a,b,c[/tex] ∈ R or C and [tex]a[/tex] ≠ [tex]0[/tex].

We obtain an equation when [tex]f(x)=0[/tex]

⇒ [tex]ax^{2} +bx+c=0[/tex] is an quadratic equation.

Solution.

Given, [tex]a=2,c=-3[/tex], but b is not given

Thus the quadratic function with leading coefficient [tex]a=2[/tex] and constant term [tex]c=-3[/tex] is given by

[tex]f(x)=2x^{2} +bx-3[/tex]

∴ the required quadratic equation is

[tex]2x^{2} +bx-3=0[/tex]

Answer:

Tn = 75+25n

Step-by-step explanation:

The balance are in arithmetic progression

$100, $125, $150...

The formula for calculating the nth term of the sequence is expressed as;

Tn = a+(n-1)d

a =100

d = 125 - 100 = 150 - 125

d = 25

n is the number of terms

Substitute

Tn = 100+(n-1)*25

Tn = 100 + 25n-25

Tn = 75+25n

Hence the nth term of the sequence is Tn = 75+25n

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{l}[/tex] ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = [tex]\frac{12}{cos70}[/tex] ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

Answer: 2050hrs

Step-by-step explanation:

If he is going 72 km/hr and he traveled 504 km we can calculate how long he took to go by dividing the distance he went by distance per hour. That will give us the amount of hours that he took to get there. That would be [tex]\frac{504}{72}[/tex]. [tex]\frac{504}{72}=7[/tex] so it took him 7 hours to get there. 7 hours after 1350 is 2050 assuming we are using the 24 hour clock notation.

Answer:

10 ^3 * 10 ^2

1/ 10 ^5

10*10*10*10*10

Step-by-step explanation:

10 ^4^1 = 10 ^(4*1) = 10 ^4

10 ^3 * 10 ^2 = 10 ^(3+2) = 10 ^5

1/ 10 ^5 = 10 ^5

10 ^3^2 = 10 ^(3*2) = 10 ^6

10*10*10*10*10 =10 ^5