Rewrite the following mathematical statement in your own words

Answer:

___-5___is 3 units left from -2 on a number line.

___1___- is 3 units right from -2 on a number line

Step-by-step explanation:

3.1.

your question

75x-25=5x+125

collect like terms

70x=150

Divide both side by the coefficient of x

70x/70=150/70

70 ti cancel 70 on x side to leave x alone

:. x=150/70 or 2.14

3.2.

6×(3x-2)=7×(x+3)

multiply by the bracket

18x-12=7x+21

collect like terms

18x+7x=21+12

25x=33

divide by the coefficient of x

25x/25=33/25

x=33/25 or 1.32

3.3.

10/x-3=8

cross multiply(know that 8 is /1)

x‐3×8=10×1

8x-24=10

8x=10+24

8x=34

divide both sides by coefficient of x

8x/8=34/8

8x=34/8 or 4.25

3.4.

x+7=5x-13

collect like terms

7+13=5x-x

20=4x

divide both sides by the coefficient of x

20/4=4x/4

5=x

:.x=5

3.5.

20x+4=4x-46

collect like terms

20x-4x=-46-4

16x=-52

divide both sides by the coefficient of x

16x/16=-52/16

:.x=52/16 or 3.25

Answer:

[tex] \frac{5i}{3 + 2i} \times \frac{3 - 2i}{3 - 2i} \\ \frac{15i - 10 {i}^{2} }{9 - 4 {i}^{2} } \\ \frac{15i - 10( - 1)}{9 - 4( - 1)} \\ \frac{15i + 10}{9 + 4} \\ \frac{15i + 10}{13} \\ \frac{10}{13} + \frac{15i}{13} [/tex]

Answer:

Step-by-step explanation:

There are 2 possibilities.

1) Put a point L.

2) draw the circle of center L and radius 5 :C1

3) Put on point M on this circle

4) Draw the circle of center m and radius 8:C2

5) C1 and C2 intersect in K

Answer:

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

6x + 3y - 9

x = 6

y = 9

6(6) + 3(9)

36 + 27

= 63

Answer:

3.5 Hours MARK ME AS BRAINLIEST PLEASE

Step-by-step explanation:

Take 458, and subtract 339 from it. Then, divide that by 34.

Answer:

3 and a half hours

Step-by-step explanation:

Subtract 399 from both sides

119 = 34h

Divide both sides by 34

3.5 = h

Answer:

The GCF is going to be 2

Step-by-step explanation:

This Is how I find the GCF of 3 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 8, 2 × 2 × 2 = 8

The prime factorization of 18, 2 × 3 × 3 = 18

The prime factorization of 70, 2 × 5 × 7 = 70

The one and THE only common factor is 2, which is going to be the GCF

Answer:

Step-by-step explanation:

From what I can come up with with no actual factual information is that the equation is

[tex]\frac{1+sin^4x-cos^4x}{1-sin^6x-cos^6x}=\frac{2cos^2x}{3}[/tex] I'm going with that because it actually solves pretty easily, which is usually the way this goes. Begin by cross multiplying:

[tex]3(1+sin^4x-cos^4x)=2cos^2x(1-sin^6x-cos^6x)[/tex] and distribute:

[tex]3+3sin^4x-3cos^4x=2cos^2x-2cos^2xsin^6x-2cos^8x[/tex] and then break up the powers of sin into squared sines:

[tex]3+3[sin^2x*sin^2x]-3cos^4x=2cos^2x-2cos^2x[sin^2x*sin^2x*sin^2x]-2cos^8x[/tex]  and use the Pythagorean identity to change those sines into cosines:

[tex]3+3[(1-cos^2x)(1-cos^2x)]-3cos^4x=2cos^2x-2cos^2x[(1-cos^2c)(1-cos^2x)(1-cos^2x)]-2cos^8x[/tex]

and the FOIL out those terms inside the square brackets:

[tex]3+3[1-2cos^2x+cos^4x]-3cos^4x=2cos^2x-2cos^2x[1-3cos^2x+3cos^4x-cos^6x]-2cos^8x[/tex]

and distribute again on both sides to get rid of the brackets entirely:

[tex]3+3-6cos^2x+3cos^4x-3cos^4x=2cos^2x-2cos^2x+6cos^4x-6cos^6x+2cos^8x-2cos^8x[/tex]

and combining like terms cancels a lot of that out to leave:

[tex]6-6cos^2x=-6cos^6x+6cos^4x[/tex] and get everything on one side to factor:

[tex]0=-6cos^6x+6cos^4x+6cos^2x-6[/tex] and factor out the -6:

[tex]0=-6(cos^6x-cos^4x-cos^2x+1)[/tex] and now we'll factor by grouping, so grouping everything together to get ready for that:

[tex]0=-6[(cos^6x-cos^4x)-(cos^2x+1)][/tex] and begin the factoring:

[tex]0=6[cos^4x(cos^2x-1)-1(cos^2x-1)][/tex] and continuing the factoring:

[tex]0=-6(cos^2x-1)(cos^4x-1)\\0=-6(cos^2x-1)(cos^2x-1)(cos^2x+1)[/tex] and by the Zero Product Property (and we won't list that duplicated factor cuz it's not necessary):

[tex]cos^2x-1=0[/tex]     or       [tex]cos^2x+1=0[/tex]

Solving the first:

[tex]cos^2x=1[/tex] so

x = 0 + 2kπ  and solving the second one:

[tex]cos^2x=-1[/tex] which is not solvable over the real number system.

So x = 0 + 2kπ

and I really hope that's what you were looking for!

Answer:

Answer:

16

Step-by-step explanation:

96÷6=16

Answer:

your answer is F

I hope it's helps you

Answer:

-14.50, -8/4, 4.2, 15/2, 12.072, 12.25

Answer:

may be 5 unit is the distance is between then

Answer:

5 units

Step-by-step explanation:

use distance formula kid

Ok so 1.2 is the answer you get if you divide them

and you can also say one because its counting by ones

Answer:

Ascending order - 14, 14, 14, 14, 17, 18, 18, 22,

23, 25, 28

Median = ( n+1/2)

= ( 11+1/2)

= 12/2 = 6th term

Here, in order 6th term is 18, so 18 is median.

Mode is frequently occurring number.

Here frequently occurring number is 14 i,e 4 times.

Hence, 14 is mode.

Answer:

mode ; 14

median; 18

Step-by-step explanation:

Ans; 14, 14 , 14 ,14, 17 , 18 , 18 , 18 ,22, 23 , 25 , 28

mode ; 14

[tex]median = \frac{n}{2} = \frac{18 + 18}{2} = \frac{36}{2} \\ \\ median = 18[/tex]

I hope I helped you^_^

Answer:

3.3

Step-by-step explanation:

Find all the numbers and find the mean

The x means that there are that many of each number

1 + 1 + 2 + 3 + 3 + 4 + 4+ 5 + 5 + 5

33

We have to divide that by the total amount of numbers present

33/10 = 3.3

Answer:

But I see no attachment....pls recheck

Answer:

Divide the numbers from within the radicals.

Answer:

1) -3x + 90

=(3)(30+−x)

=(3)(30)+(3)(−x)

=90−3x

=−3x+90

2) 37x+90

=40x+(3)(30)+(3)(−x)

=40x+90+−3x

Combine Like Terms:

=40x+90+−3x

=(40x+−3x)+(90)

=37x+90

Answer:

no, y=3x+3

Step-by-step explanation:

plug both points into the equations:

one works but the other doesn't so now we find a line through both points

use the formula (y_2-y_1)/(x_2-x_1) to find the slope:

y=3x+b, plug in a point to find b:

Answer:

120/100

Step-by-step explanation:

120÷20= 6

100÷20=5

6/5 = 1⅕

I think the given figure will help you....

Answer:

[tex]yes \\ because \\ 5 \times (10) = 50 \\ and \: 5(3 + 7) = 5(10) = 50 \\ than k\: you[/tex]

Answer:

yes, because 3+7 is equal to 10

Step-by-step explanation:

N - 72 = 36

To solve for n add 72 to both sides of the equation:

N = 108

Answer:

108

Step-by-step explanation:

Add 72+ 36 you will get your answer

The answer is 108

Therefore n= 108

Answer:256

Step-by-step explanation:

a = 2 cm

b = 55 mm = 5,5 cm

c = 10 cm

d = 60 mm = 6 cm

Perimeter: 2 + 5,5 + 10 + 6 = 23,5 cm