equation represents a line which is parallel to the line 3y-x=-15?

Answer:  see below

Step-by-step explanation:

[tex]32)\quad \dfrac{3}{5}(x-12)>x-24[/tex]

        3(x - 12) > 5(x - 24)

        3x - 36 > 5x - 120

      -5x         -5x        

        -2x - 36 >      -120

             +36          +36

        -2x        >       -84

     ÷ -2         ↓       ÷ -2  

             x      <       42

Graph:   ←------------o

                             42

34)   6[5y - (3y - 1)] ≥ 4(3y - 7)

        6[5y - 3y + 1] ≥ 4(3y - 7)

        6{2y + 1]        ≥ 4(3y - 7)

         12y + 6        ≥ 12y - 28

        -12y                -12y      

                  6        ≥         -28

                        TRUE  so the solution is All Real Numbers

Graph:   ←-----------------------→

36)   BC  +  AC      > AB

         4    + 8 - AB > AB

                12 - AB  > AB

                    +AB    +AB

                12          > 2AB

              ÷2            ÷2    

                 6           >  AB

                         AB < 6

[tex]38)\quad \dfrac{1}{2}(y-16)\geq y+2\quad ;\text{claim}\ y\leq 20[/tex]

Check: let y = 16

           then [tex]\frac{1}{2}[/tex](16 - 16) ≥ 16 + 2

                            0    ≥ 18

                            FALSE  so the claim is wrong

40) question not provided in the image so I cannot give a solution.

Answer:

1) r >-5       2) x >9

Step-by-step explanation:

Hello! I hope i’m correct!! :)

Answer:

1) 20^m

2) x^10

Step-by-step explanation:

[tex](m^{2+3})^{4}[/tex]

[tex](m^{5})^{4}[/tex]

[tex]=[/tex][tex]m^{20}[/tex]

First expression: m^20

______________________________

[tex](x^{5} )^{2}[/tex]

[tex]=x^{10}[/tex]

Second expression: x^10

Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ⭐️

(Sorry if this is incorrect!)

~By, BrainlyAnime~ <3

Answer:

1) 20^m

2) x^10

Step-by-step explanation:

1. Reformatting the input:

Changes made to your input should not affect the solution:

( 1 ) : "m3"  was replaced by "m^3".

m^5 raised to the 4th power = m^( 5 * 4 ) = m^20

_________________________________________________

2.  

x^5 raised to the 2nd power = x^( 5 * 2 ) = x^10

Answer:

60 and 72

Step-by-step explanation:

We can tell that each number is being added by 12 so add 48 with 12 and you get 60 and add 12 to 60 you get 72

Geometric

Answer:

17/2 = 8.5

1 inch = 8.5 feet

51/8.5 = 6 inches

Step-by-step explanation:

HI :)

Answer:

51 divided by 17 = the answer

Step-by-step explanation:

if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.

Answer:

60 squared inches.

Step-by-step explanation:

You can break this polygon into two parts. The rectangle part of the polygon is 55 squared inches. The triangle part is 5 squared inches.

The rectangle:

[tex]5(11)=55[/tex]

The triangle:

[tex]2(5)=10\\10/2=5[/tex]

Therefore, the whole polygon is 60 squared inches.

Like what the other one said, and thank you so much for the points.

Answer:

10$

Step-by-step explanation:

Answer:

black lines....I think

Answer:

x = 0

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Given

[tex](2^{6}) ^{x}[/tex]

= [tex]2^{6x}[/tex]

The only way for this to equal 1 is for x to be zero

Thus x = 0

Answer:

The ball was 0.5 m above the ground before it was punted.

Step-by-step explanation:

Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is  ht=vt-at

ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes

ht = 13.7t + 0.5 - 4.9t²

ht = 13.7 × 0 + 0.5 - 4.9 × 0²

ht = 0 + 0.5 - 0

ht = 0.5 m

So the ball was 0.5 m above the ground before it was punted.

Answer:

Step-by-step explanation: 40 newtons to the right

Answer:

It's the second option:

0 and 3 are both solutions.

Step-by-step explanation:

h = √(3h)        Square both sides:

h^2 = 3h

h^2 - 3h = 0

h(h - 3) = 0

h = 0, 3.

If we plug h = 0 into the original equation:

0 = √(3*0) = 0 so this is a root.

x = 3:

3 = √(3*3) = 3 so this is also a root.

Answer:0 and 3 are solutions of the original equation.

Step-by-step explanation:

Answer:

6...the length is 6

This is a horizontal line!

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

[tex]\displaystyle x/y=\frac{15}{4}[/tex]

Step-by-step explanation:

Division of fractions

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}[/tex]

We will evaluate x/y when x=9/4 and y=3/5:

[tex]\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}[/tex]

[tex]\displaystyle=\frac{45}{12}[/tex]

Simplifying:

[tex]\displaystyle \boxed{x/y=\frac{15}{4}}[/tex]

Answer:

x = 4

Step-by-step explanation:

Let's multiply both sides by 5 to get rid of the leading fractions.

5 X 0.2 (4x - 8) = 5 X 0.4(12-2x)

(4x-8) = 2 (12-2x)

4x - 8 = 24 - 4x

8x = 32

x = 4

x = 4

Answer:

false

Step-by-step explanation:

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

Answer:

The answer above is correct

Answer: x = 1 or x = 2

Sub in x for ?:

x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)

x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)

x^2-x-2x+2 = 0 (Factor the expression)

x(x-1)-2(x-1) = 0 (Group like terms)

(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)

x-1 = 0

x = 1

x-2 = 0

x = 2

∴ x = 1 or x = 2.

Answer:

The value of every digit in a decimal figure is given by its position in that figure.

Step-by-step explanation:

The Rule:

The value of every digit in a decimal figure is given by its position in that figure.

For the figure 8.888, from left to right,

The first 8 is in units

The second 8 is in tenth (this means 8/10 = 0.8)

The third 8 is in hundreth (this means 8/100 = 0.08)

The fourth 8 is in thousandth (this means 8/1000 = 0.008)

The sum of the place values of the digits after the decimal point = 0.888

when the unit 8 is added, you then get 8.888

Answer:

3  1/100

Step-by-step explanation:

Place the decimal number over a power of ten.

Answer:

Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!

Step-by-step explanation:

Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation

Answer:

2.67 days each

Step-by-step explanation:

Answer: 2.67

Step-by-step explanation:

Answer:

if you round, its 99. if you ignore the decimal, its 98

Step-by-step explanation:

2/3 of 148 is 98.66

Answer:

yes

Step-by-step explanation:

Answer:

Mrs. Lowry is driving 0.8 mph.

Step-by-step explanation:

If she is going 20 miles per 25 hours you would set up the problem as 20/25 or 20 ÷ 25. This is because you need to get down to how many miles she is traveling per 1 hour. So, 20 ÷ 25 = 0.8. Therefore she is going 0.8 miles per 1 hr.

Given:

Two dice are rolled together.

Total number of possible outcomes.

To find:

The list of total possible outcomes.

The probability of getting a sum of 11 in these outcomes.

The probability of getting a sum less than or equal to 4.

The probability of getting a sum of 13 or more.

Solution:

If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3

The probability of getting a sum of 11 in these outcomes is

[tex]P(\text{sum=11})=\dfrac{3}{36}[/tex]

[tex]P(\text{sum=11})=\dfrac{1}{12}[/tex]

Therefore, the probability of getting a sum of 11 in these outcomes is [tex]\dfrac{1}{12}[/tex].

Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6

The probability of getting a sum less than or equal to 4 is

[tex]P({sum\leq 4})=\dfrac{6}{36}[/tex]

[tex]P({sum\leq 4})=\dfrac{1}{6}[/tex]

Therefore, the probability of getting a sum less than or equal to 4 is [tex]\dfrac{1}{6}[/tex].

Sum of 13 or more = empty set because maximum sum is 12.

The probability of getting a sum of 13 or more is

[tex]P(sum\geq 13)=\dfrac{0}{36}[/tex]

[tex]P({sum\geq 13})=0[/tex]

Therefore, the probability of getting a sum of 13 or more is 0.

Answer:

I III and IV

Step-by-step explanation:

According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Given :

Triangle OCD ≅ Triangle JAL

The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.

So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/10629211