Parallel lines : mastery test

Answer:

true

Step-by-step explanation:

Line l and line m are parallel to each other which means the statement is true.

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The statement is True !

In the given figure, the two lines are parallel to one another ~ because pair of corresponding angles are equal.

Answer:

  B.  -2, 2

Step-by-step explanation:

Apparently, we're to presume that f(x) is the line that is graphed. It has a y-intercept of +1 and a slope (rise/run) of 1/2. Its equation is ...

  f(x) = 1/2x +1

If we want points of intersection, we want to solve the equation f(x) = g(x) for the values of x that make it so.

  1/2x +1 = √(x +2)

Squaring both sides, we get ...

  1/4x² +x + 1 = x +2

  1/4x² = 1 . . . . . . . . . . . . subtract x+1 from both sides

  x² -4 = 0 . . . . . . . . . . multiply by 4, subtract 4

  (x -2)(x +2) = 0 . . . . factor the difference of squares

  x = -2, 2 . . . . . . . . . values of x that make the factors zero

The solutions to f(x) = g(x) are x = -2 and x = 2.

_____

Additional comment

The attached graph shows the x- and y-values at the points of intersection. The solutions to f(x) = g(x) are only the x-values, -2 and 2.

The square of (ax +b) is ...

  (ax +b)² = a²x² +2abx +b²

The point-slope equation of a line is ...

  y = mx + b . . . . . line with slope m and y-intercept b

Answer:

286 sweets.

Step-by-step explanation:

If Adrian had x sweets, Charlie got x+52 sweets.

The number of parts  is 7+4+11 = 22.

So Adrian had 7/22 of the total  and Charlie had 11/22 = 1/2 of the total.

This means that Ben had 4/22 = 2/11 of the total.

If y is the total number of sweets:

y = x + x + 52 + 2y/11

9y/11 = 2x + 52

2x =  9y/11 - 52.............(1)

Also x + 52 = y/2

y = 2x + 104

2x = y - 104...............(2)

Equating (1) and (2) -   (as there is 2x on left side of both equations):-

9y/11 - 52 = y - 104

52 = 2y/11

y = 52 * 11/2

y = 286 sweets.

The equation for slope intercept form is y = mx + b.

An example would be y = 3x + 4 or y = -2/5x - 4

Answer:

1. (-10,-5)

2.(1/2,-1) 3. All real numbers infinite solution 4.(3 9)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sf 2x+4=3(x-4)[/tex]

[tex]\sf 2x+4=3x-12[/tex]

[tex]\sf 2x+4-4=3x-12-4[/tex]

[tex]\sf 2x=3x-16[/tex]

[tex]\sf 2x-3x=3x-16-3x[/tex]

[tex]\sf -x=-16[/tex]

[tex]\sf \cfrac{-x}{-1}=\cfrac{-16}{-1}[/tex]

[tex]\sf x=16[/tex]

solve the equation below :-

2x+4=3(x-4)

x = 16

=> 2x+4 = 3(x-4)

=> 2x+4 = 3x-12

=> 2x+4 - 4 = 3x-12 - 4 (Subtract 4 on both the sides)

=> 2x = 3x-16

=> 2x-3x = -16

=> -x = -16

=> -x/-1 = -16/-1

=> x = 16

Answer: the operation can be said as x( 576-68)t-5= x

Step-by-step explanation:

You can see this because I am smart and just am

Answer:

x less than or equal to 5

i think thats what u wanted

Answer:

4 n 4 √ 3 n

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can tell that 4x - 6 is equal to 2x + 60 because they are vertically opposite angles. Now, let's solve.

Since we have found the required variable, we can now solve the indicated variables.

Given angles:

Let's solve 4(33) - 6 first.

Therefore, 4(33) - 6 measures about 126°. Now, let's solve 2(33) + 60.

We can clearly see that both angles are equal (126 = 126) Because of vertically opposite angles.

Conclusion:

Therefore, the required variable is 'x = 33' and when we substitute the variable in both angles, we find that both angles show 126°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

D. 11+6i

Step-by-step explanation:

3+8+4i+2i

11+6i

Answer:

Bottle B has a larger volume of lotion therefore the correct answer

Step-by-step explanation:

1×2×6=12/3=4 Bottle A

1.5×3×4=18/3=6 Bottle B

Answer:

Bottle B contains 6 in3 of lotion, and Bottle A contains 4 in3. Bottle B contains more.

Step-by-step explanation:

pf

Answer:

31

Step-by-step explanation:

thye blow up 36 balloons in total but 5 pop 36-5=31

Answer: We have been given two inequalities and . We are asked to find the integers that satisfy both inequalities.

Step-by-step explanation:

Let us solve for our 1st inequality.

2x + 9 - 9 < 0 - 9

2x< -9

2x/2 < -9/2

X< -4.5

Upon combining our both inequalities, we will get:

-12 < x < -4.5

This means that solution of our inequalities is x values greater than -12 and less than -4.5

We know that integers between and are: -11, -10, -9, -8, 7, -6,-5.

Therefore, our solution would be X= {-11,-10,-9,-8,7,-6,-5}

Answer:

hope it's help pohh mark me brain less

Answer:

1/10

Step-by-step explanation:

Answer:

These results, 7 and 9, have a product of 63, as stated.

Step-by-step explanation:

Represent the first odd number by x and the first consecutive odd number by x + 2.  Then the product of these two numbers is x(x + 2) and it equals 63.

Solve for x.  Perform the indicated multiplication, obtaining

x^2 + 2x - 63 = 0

Solve this by factoring:  (x + 9)(x - 7) = 0

Then x could be either -9 or +7.  If we let x = 7 then the first consecutive odd number is 7 + 2, or 9.  These results, 7 and 9, have a product of 63, as stated.

Step-by-step explanation:

an = 2n^2 - 3 · Anonymous. -1, 5, 15, 29, 47, ... an = 2 n^2 - 3.

The required nth term will be 2n² - 3 in the given quadratic sequence.

Sequences are defined as an arrangement of numbers that is in a particular order.

The first 5 terms of a quadratic sequence are following as:

-1, 5, 15, 29, 47,

We have to determine the nth term of the given sequence.

As per the given question, we have

-1, 5, 15, 29, 47,

We can rewrite the above numbers in the sequence as

first term = -1 = 2(1)²-3,

second term = 5 = 2(2)²-3,

3d term = 15 = 2(3)²-3,

4th term = 29 = 2(4)²-3,

5th term = 47 = 2(5)²-3

Similarly, nth term = 2n² - 3

Therefore, the required nth term will be 2n² - 3 in the given quadratic sequence.

Learn more about arithmetic sequence here:

brainly.com/question/21961097

#SPJ2

Answer:

[tex] \boxed{\bf \dfrac{64}{729} }[/tex]

Hence,

[tex]\boxed{\bf \: \bigg( \dfrac{2}{3} \bigg) {}^ {6} = \dfrac{64}{729}} [/tex]

Step-by-step explanation:

Given arithmetic expression is :-

[tex]\sf \longmapsto(2/3) {}^{6} [/tex]

This expression may be rewritten as :-

[tex]\sf \longmapsto \bigg(\dfrac{2}{3} \bigg) {}^{6} [/tex]

6 is the index and 2/3 is the base.

In words, this may be represented as 2/3 raised to the Power 6.

Let's calculate.

It means that 2 is raised to the power of 6 and 3 is also raised to the power 6.

That is,

[tex]\sf \longmapsto \dfrac{ {2}^{6} }{ { 3}^{6} } [/tex]

It will be represented as,

[tex]\sf \longmapsto \: \dfrac{2 \times 2 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 3 \times 3 \times 3 \times 3} [/tex]

On Simplification:-

[tex]\sf \longmapsto \dfrac{64}{729} [/tex]

In Decimal:-

[tex]\sf \longmapsto0.08(approx .)[/tex]

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Answer: 2,511 km

Step-by-step explanation:

5828.6*4.75 = 2,510.85 rounded to 2,511

Answer:

29 units

Step-by-step explanation:

The midsegment of a trapezoid is the average of the top and bottom sides.

(25+33)/2 = 29

Answer:

measure of midsegment EF is 29

Step-by-step explanation:

basically just find the average of the two numbers

25+33/2 = 29

Answer:

Step-by-step explanation:

Remove the brackets

5*2.2y + 5  - 3

11y + 5 - 3

11y + 2

The answer is the last one.

[tex]\\ \rm\rightarrowtail 5(2.2y+1)-3[/tex]

Solve in between the brackets

[tex]\\ \rm\rightarrowtail 5(4y+1)-3[/tex]

[tex]\\ \rm\rightarrowtail 20y+5-3[/tex]

[tex]\\ \rm\rightarrowtail 20y+2[/tex]

[tex]\\ \rm\rightarrowtail 2(10y+1)[/tex]

Answer:

1/125

Step-by-step explanation:

Simply subtract the exponents

in this case 6 - 3 so then its now 5 / 5^3

now just make the numerator a 1

1 / 5^3

5x5x5 = 125

1/125

Answer:

0.008

Step-by-step explanation:

i did 5 to the 3rd power which is 125

Then i did 5 to the 6 power and got 15625

finally I divided the answers and got  0.008   or in 125

Answer:

y=-2x+4

Step-by-step explanation:

equation: y-y1=m(x-x1)

x1=0,y1=4,m=-2

y-4=-2(x-0)

y-4=-2x

y=-2x+4

Answer:

It cant be converted to decimal or fraction while it is a integer

If c = 7, then

12 - 2c

= 12 - 2(7)

= 12 - 14

= -2

c - 5

= (7) - 5

= 2

=》+2 > -2.

So, c - 5 has greater value than 12 - 2c, if c = 7.

______

Hope it helps ⚜