A balalaika is a Russian stringed instrument. Show that the triangular parts of the two balalaikas are congruent for x = 6.

Answer:

Step-by-step explanation:

The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c  where m is the slope.

Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;

25x - 4y = 50

-4y = -25x+50

Divide through b y -4

-4y/-4 = -25x/-4 + 50/-4

y = 25/4 x - 25/2

Comparing with y = mx+c

mx = 25/4 x

m = 25/4

Hence the rate of change of y with respect to x is 25/4

The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Given the equation:

[tex]25x - 4y = 50[/tex]

The rate of change = the slope of the line

[tex]25x - 4y = 50[/tex]

[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]

[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]

Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

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Answer:

Step-by-step explanation:

7.80=66(.05)+.10(x)

7.80=3.30+.10(x)

7.80=3.30+.10x

4.50=.10x

x=45

Check

66 nickels at .05=3.30

45 dimes at .10= 4.50

3.30+4.50= 7.80

Answer:

Step-by-step explanation:

Given the expression a = 3/b

as the denominator of the of the expression b increases the value of the output is known to be decreasing. if the value of b now goes so large to become an infinite, value then the value of a will goes to zero as shown;

If b = ∞

a = 3/∞

a = 0

Note that for any constant value a, the ratio a/∞ will always tends to zero

Answer:

<1=83

<2=97

<3= 83 (given)

<4=97

<5=83

<6=97

<7=83

<8=97

Step-by-step explanation:

They give you the angle for 3 which is 83, so from there all you have to do is find the equivalent angles which are angle 1,5,7. Then for angles 2,4,6,8 you subtract 83 from 180 and you get 97.

Answer:

D

Step-by-step explanation:

1 cm is 18 miles. if you have 14 cm you multiply 14 cm by 18 miles. you get 252 miles for 14 cm.

Answer:

The value of each expression when x=3 will be -20 and -20.

Step-by-step explanation:

Given the expression

-4x-8

setting x=3

= -4(3)-8

=-12-8

=-20

Given the expression

-2(x+1)-2(x+3)

setting x=3

=-2(3+1)-2(3+3)

=-2(4)-2(6)

=-8-12

=-20

so we conclude that the value of both the expressions was -20 when we substituted the value x=3.

Therefore, the value of each expression when x=3 will be -20 and -20.

Answer:

Step-by-step explanation:

Let amount of apples be x and oranges be y

Then we have:

Subtract triple of the first equation from the second one:

Then finding x

So apples = 20, Oranges = 10

Answer:

d. none of these

Step-by-step explanation:

Answer:

6x + 5y + 13 = 0.

Step-by-step explanation:

y = 5/6x + 7/6

Gradient = 5/6

Since the line is perpendicular to y = 5/6x + 7/6

then its gradient is -6/5.

Hence its equation is: point (-8,7).

y - 7 = -6/5(x -(-8))

multiplying through by 5 we get;

5y - 35 = -6(x + 8)

5y - 35 = -6x - 48

6x + 5y + 13 = 0

Answer:

The length of x=3/1

Step-by-step explanation:

Given the right triangle

Ф = 30

We know that

sin Ф = opposite/hypotenuse

The opposite of angle 30° = x

The hypotenuse is = 6

so

sin 30 = opposite/hypotenuse

    1/2      = x/6           ∵ sin 30 = 1/2

     1/2 × 6 = x

     6/2 = x

       3/1 = x

Therefore, the length of x=3/1

Answer:

Step-by-step explanation:

reflection over y-axis

Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.

We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.

A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:

180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.

Therefore, it is a possible transformation that carries the rhombus onto itself.

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Answer:

bro I didnt understand your question can u resend it

Answer:

#1: Dillon, Harry, Paul, Winston #2: B

Step-by-step explanation:

#1: Absolute value is the opposite of the negative number, so it's just 2, 8, 10, and 13.

#2: Count by 10's, it's on the 50 line

Answer:

1)Dillon, Harry, Paul and Winston

2) C

Answer:

x + y + z = 123

Step-by-step explanation:

x:y:z = 7:2:5

Let x = 7a, y = 2a, z = 5a

Since x - z = 18

Therefore,

7a - 5a = 18

2a + 18

a = 18/2

a = 9

7a = 7*9 = 63

2a = 2*9= 15

5a = 5*9 = 45

x + y + z = 63 + 15 + 45

x + y + z = 123

Answer: 8.125 inches

Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125

Answer:

abby

frisk

mimi

Step-by-step explanation:

Answer:

Mochi, Athena, and Oreo ^^

Step-by-step explanation:

Congrats! :D

Answer:

<stv and <stq

Step-by-step explanation:

adjacent angles have the same vertex and are side by side.

Answer:

here you go. hope this helps!

Answer: 4x+8=12

Step-by-step explanation: there is the 1st one im going to try and o the second one oh im a 7th grader

Answer: 15.5 divided by 33.17  would be 0.46728972

Make sure you put your decimal point

Answer:

16.225

just times 2.5 times 6.49

Answer:

The answer to number 9 is d

Step-by-step explanation:

The Amplitude is pi and the period also is the right number if you use teh mathematical formula. 2pi ÷ pi^2 is 2÷pi, so it basically has to be d, since a and b don't have the correct Amplitude and c doesn't have the correct period.

Answer:

x = 80

Step-by-step explanation:

x + 30 = 110 (opposite sides are congruent/equal)

x = 110 - 30 (subtract the 30 from both sides to get X by itself)

x = 80 (simplify)

Answer:

3/2 + 2/2. A teacher has to give 2 pencils to one student. 1 student gives him 3 pencils, another student give him 2 pencils. How much pencils does the teacher have?

Step-by-step explanation:

All you do is you find a problem that would give you 5/2 then create a word problem.

Answer:

a. 9 sides

b. 18 sides

c. 24 sides

d. 30 sides

Step-by-step explanation:

We can use the equation 180(n-2), which n is the number of sides to find the answer.

a. 180(n-2)=1260

n-2=7

n=9

b. 180(n-2)=2880

n-2=16

n=18

c. 180(n-2)=3960

n-2=22

n=24

d. 180(n-2)=5040

n-2=28

n=30

Answer:

a) 9 sides

b) 18 sides

c) 24 sides

d) 30 sides

Step-by-step explanation:

sum of interior angles = (n - 2) * 180

where n is the number of sides

a) 1260

(n - 2) * 180 = 1260

(n - 2) = 1260/180

(n - 2) = 7

n = 7 + 2

n =  9

b) 2880

(n - 2) * 180 = 2880

(n - 2) = 2880/180

(n - 2) = 16

n = 16 + 2

n =  18

c) 3960

(n - 2) * 180 = 3960

(n - 2) = 3960/180

(n - 2) = 22

n = 22 + 2

n = 24

d) 5040

(n - 2) * 180 = 5040

(n - 2) = 5040/180

(n - 2) = 28

n = 28 + 2

n = 30

Answer:

The answer is A.

Step-by-step explanation:

A- slope is 7

B- slope is 3

C- slope is 4

D- slope is 6

The first option, [tex]y=7x[/tex] has greatest rate of change.

Any relationship which have greatest slope, that relationship will also have greatest rate of change.

First option is,  [tex]y=7x[/tex] , compare with y = mx

Slope = 7

Slope of option B is,  [tex]=\frac{12}{4} =3[/tex]

Slope of option C is,  [tex]=\frac{8}{2}=\frac{16}{4} =4[/tex]

Slope of option C is,  [tex]=\frac{2}{1}=\frac{4}{2}=2[/tex]

From slope of all options , it is observed that  function y = 7x has greatest slope.

Hence, first option y = 7x has greatest rate of change.

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