help this is like the lasf oms ​

Answer:

The correct answer is:

L'(5,15), M'(12,-36), and N'(-21,-11)

Step-by-step explanation:

We are given the following points:

L(-5,15)

M(-12,-36) and

N(21,-11)

To find:

Reflection of the points across the y axis.

Solution:

To find the reflection of any point across y axis, we need to consider the y axis as the mirror and we need to find the location of the image in this manner.

Property of the image:

The image of point and actual point will be equidistant from the y axis.

If we find mirror image across y axis, there is change in only x coordinate value. There is no change in y axis value.

Let us take the first point:

L(-5,15)

x coordinate value -5 is on the left side of y axis.

The reflection will be 5 units on the right side of x axis

[tex]\therefore[/tex] L' (5, 15)

Let us take the second point:

M(-12,-36)

x coordinate value -12 is on the left side of y axis.

The reflection will be 12 units on the right side of x axis

[tex]\therefore[/tex] M'(12,-36)

Let us take the third point:

N(21,-11)

x coordinate value 21 is on the right side of y axis.

The reflection will be 21 units on the left side of x axis

[tex]\therefore[/tex] N'(-21,-11)

Please have a look at the attached figure for the points and their reflection.

Reflection triangles is shown as dotted line.

The correct answer is:

L'(5,15), M'(12,-36), and N'(-21,-11)

Answer:  1) C. Reflexive Property of Congruence

               2) A. MD ≅ SG

               3) C. 5.3

               4) D. LK || MJ & JK ≡ LM

Step-by-step explanation:

1) An angle or side is congruent to itself by the Reflexive Property

2) TM ≡ LG       Sides are congruent (given)

   ∠M ≡ ∠G       Angles are congruent (given)

   MD ≡ SG       Sides are congruent                  

ΔTMD ≡ ΔLGS  Side-Angle-Side (SAS) Theorem

Note: The angle must connect the two sides

3) Use similarity proportion

[tex]\dfrac{6}{x}=\dfrac{9}{8}\\\\\\48=9x\\\\\\\dfrac{48}{9}=x\\\\\\5.3=x[/tex]

4) In order to prove a polygon is a parallelogram, you must show

Answer:its from applications of trignometry

The distance between the two ships is 377.54 m.

Given that, two ships are located 200 m and 300 m respectively from a lighthouse and the angle formed by their paths to the lighthouse is 96°.

We need to find the distance between the two ships.

The cosine rule is c²=a²+b²-2abcosC

Now, c²=200²+300²-2×200×300cos96°

⇒c²=40000+90000-1,20,000×(-0.1045)

⇒c²=40000+90000+12,540

⇒c=377.54 m

Therefore, the distance between the two ships is 377.54 m.

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Answer:

Step-by-step explanation:

x +2y = 8  ----- (I)

 x = 8 - 2y

x - 3y = 6 -------(II)

Substitute x = 8 - 2y in equation (II)

8 - 2y - 3y = 6    {add like terms}

8 - 5y = 6

Subtract 8 form both sides

 -5y = 6- 8

 -5y = -2

Divide both sides by -5

 -5y/-5 = -2/-5

y = 2/5

Substitute y = 2/5 in equation (I)

[tex]x+2*\frac{2}{5}=8\\\\x+\frac{4}{5}=8\\\\x=8- \frac{4}{5}\\\\x=\frac{8*5}{1*5}-\frac{4}{5}\\\\x=\frac{40}{5}-\frac{4}{5}\\\\x=\frac{36}{5}[/tex]

x = 36/5

Answer:

(i)[tex]M \cup P=\{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30\}[/tex]

(ii)M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

(iii)P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

(iv)P’U(M∩T’)={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

Step-by-step explanation:

Given the sets:

ε = {x: 2 ≤ x ≤30, x is an integer}

M = {even numbers}={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

P = {prime numbers}={2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

T = {odd numbers} ={3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29}

(i)This is the union of sets M and P. (Do not repeat same elemnts)

[tex]M \cup P=\{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30\}[/tex]

(ii)M-T: This is the set M less elements in set T.

Since [tex]M \cap T =\{\}[/tex], the set M-T=M.

M-T={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

(iii) P∪(M∩T)

[tex]M \cap T =\{\}[/tex]

Therefore:

P∪(M∩T) = P

P∪(M∩T) = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

(iv) P’U(M∩T’)

Since T is the set of odd numbers, its complement will be the set of even numbers.

T'=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

M∩T’=M={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

[tex]P' =\{4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30\}[/tex]

Therefore:

P’U(M∩T’) = {4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30} U {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30}

={2,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30}

Answer:

3/5 or 0.6

Step-by-step explanation:

Here, given the value of tan theta , we want to find the value of sine theta

Mathematically;

tan theta = 0pposite/adjacent

Sine theta = opposite/hypotenuse

Firstly we need the length of the hypotenuse

This can be obtained using the Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.

Let’s call the hypotenuse h

h^2 = 3^2 + 4^2

h^2 = 9 + 16

h^2 = 25

h = √(25)

h = 5

Now from the tan theta, we know that the opposite is 3

Thus, the value of the sine theta = 3/5 or simply 0.6

Answer:

d: 2.6179, e: 4.1887, f: 5.2359 all in rad

Step-by-step explanation:

(d): 150°degrees

150° × π / 180°

= 0.83333333333π rad

= 2.6179 rad

(e):240°degrees

240° × π / 180°

= 1.3333333333π rad

= 4.1887 rad

(f): 300°degrees

300° × π / 180°

= 1.6666666667π rad

= 5.2359 rad

If all my stuff is correct please give me an 5/5 and a thanks. :)

Answer:

The range is 8.

Step-by-step explanation:

7, 1, 9, 3, 5

The range = Largest no. - Smallest no.

9 - 1 = 8

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]7 \: \: \: 1 \: \: \: 9 \: \: \: 3 \: \: \: 5[/tex]

Largest value in this set = 9

smallest value in this set = 1

Range = largest value - smallest value

= 9 - 1

= 8

A = old value = 3431

B = new value = 3732

C = percent change

C = [ (B-A)/A ] * 100%

C =  [ (3732-3431)/3431 ] * 100%

C = (301/3431) * 100%

C = 0.0877 * 100%

C = 8.77%

Note: if C was a negative value, then we'd have a percentage decrease

This expression cannot be simplified, as you cannot add or subtract variables raised to different exponents.

Answer:

Step-by-step explanation:

6z⁶ - 21z⁴ - 12z² = 2*3*z⁶ - 3*7*z⁴ - 4*3*z²

                           = 3z² (2z⁴ - 7z² - 4)

Answer:

x=-24

Step-by-step explanation:

2/3 x +3 =1/4x-7

8/12x+3= 3/12x-7

5/12x + 3 = -7

5/12x = -10

5/12x (12/5) = -10(12/5)

x=-120/5

x=24

Answer:

"The decimal number is just a shorthand way of writing a fraction with a denominator of one thousand. It means the very same thing as . But this is just the algorithm for dividing the numerator by the denominator to get the decimal digits ."

Step-by-step explanation:

==================================================

Work Shown:

A = 2+i

O = -4, this is the letter 'oh' not to be confused with the number zero

P = -i

S = 2+4i

A-O+P+S = (2+i) - (-4) + (-i) + (2+4i)

A-O+P+S = (2+i)  + 4 + (-i) + (2+4i)

A-O+P+S = (2+4+2) + (i-i+4i)

A-O+P+S = 8+4i

Answer:

C

Step-by-step explanation:

That would be an isosceles triangle, therefore, acute. All angles measure 60, therefore being acute. I'm not 100% sure though.

Answer:

Exact Form:65/14

Mixed number Form:4 9/14

Step-by-step explanation:

Answer:

4 9/14

as an improper fraction: 65/14

hopefully this helped :3

To find the lateral area of a cone, use this formula:

[tex]\pi r\sqrt{h^2+r^2}[/tex]

where r is the radius (in this case, 11) and h is the height (in this case, 26)

Try plugging the values in. If you need additional help, feel free to ask!

Answer:

4.98

Step-by-step explanation:

Answer:

4.98

Step-by-step explanation:

Answer:

y=2x-3, x=23.5

Step-by-step explanation:

This is what i got.

The rectangular form of equation is y= x² /9 - 10x/9 - 34/9.

An equation made up of variables like x and y that can be plotted on a standard Cartesian plane is referred to as a rectangular equation or an equation in rectangular form.

Given:

x=3t+5.....(1)

y=t²-1.....(2)

From equation (1), we get

t= 1/3(x-5)

Now, put t in equation (2)

y= 1/9 (x- 5)² - 1

y = 1/9 x² - 25/9 -10x/ 9 - 1

y= x² /9 - 10x/9 - 34/9

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Answer:

The constant proportionality of the table above is 16.

Step-by-step explanation:

In order to solve this problem, you must divide the weight of cat food by the number of bags. You must also continue doing this for each of the ratios shown in the table.

64 ÷ 4 = 16

80 ÷ 5 = 16

96 ÷ 6 = 16

So, the proportionality of the table is 16. As you can see, when we divided the numbers, they all had a quotient of 16, which is our proportion.

Answer:

[tex]\boxed{Area = 32.5 mm^2}[/tex]

Step-by-step explanation:

Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where base = 13 mm, Height = 5 mm

Area = 1/2 (13)(5)

=> Area = 1/2 (65)

=> Area = 32.5 mm^2

Answer:

c. 32.5 mm²

Step-by-step explanation:

The equation for the area of a triangle is a=1/2bh. In this equation you basically multiply the length of the base of the triangle times the height of the triangle and divide that by 2 to get the area. So, you would take 13, the base, and multiply it by 5, the height to get 65. Then, you would divide that by 2 to get 32.5 mm².

Answer:

B: 3x+5

Step-by-step explanation:

You can solve this equation by doing the following steps:

6x2 + x - 15 is your polynomial. So take your polynomial and factor it down.

6x^2 + x - 15 = 6x^2 - 9x + 10x - 15 = 3x(2x - 3) + 5(2x - 3) = (3x+5)(2x - 3).

Check your answers again.

A) 3x - 5

Would this be possible considering our last answer? Which was (3x + 5)(2x - 3). No, it's not adding, so it's wrong.

B) 3x + 5

Could this be possible? Yes, it could because it has the first half of our answer. (3x + 5), keep this in mind.

C) 4x - 5

There was no 4 in the last part, so no. It's wrong. We're working with 2, 3, and 5 only. No 4.

D) 4x + 5

Again, no 4. Make sure to double-check your answers before clicking.

Answer:

Step-by-step explanation:

Standard form of the equation:

y  = [tex]-\frac{1}{4} (x+3)^2+3[/tex]

Directrix: y=4

Focus: (-3,2)

Points on the parabola (x,y):

(-5,2) (-3,3) (-1,2)

Distance from points to focus:

(-5,2) = (-3,2)

Answer choices:  (x+3)^2+(y−3)^2, (x−2)2+(y+3)2, (x+3)2+(y−2)2

(-5+3)^2+(2-3)^2=5

(-5-2)^2+(2+3)^2=74

(-5+3)^2+(2-2)^2=4

(-1,2)

Step-by-step explanation:

a^4  - a^4 = (a^2 +a^2)(a^2-a^2)

a^4 - a^4 = (a^2 + a^2)(a+a)(a-a)

there is no need of this solution, because it equal to 0 because a^4 - a^4 will be equal then it will be 0

 i hope this will help you

Answer:

Hello There!

~~~~~~~~~~~~~~~

a² ÷ a⁴ × a² =

1

Step-by-step explanation: Simplify the expression.

Hope this helped you! Brainliest would be nice!

☆_____________❤︎______________☆

Answer:

Proved

Step-by-step explanation:

Taking R.H.S

=> [tex](x+y+z)[x(x+w^2y+wz)+wy(x+w^2y+wz)+w^2z(x+w^2y+wz)][/tex]

=> [tex](x+y+z)(x^2+w^2xy+wxz+wxy+w^3y^2+w^2yz+w^2xz+w^4yz+w^3z^2)[/tex]

Remember ∴ ω³ = 1

So we'll replace all ω³'s with 1

=> [tex](x+y+z)(x^2+y^2+z^2+w^2xy+wxy+w^2yz+w^4yz+w^2xz+wxz)[/tex]

=> [tex](x+y+z)[x^2+y^2+z^2+xy(w^2+x)+w^2yz+w^3*wyz+xz(w^2+w)][/tex]

Remember ∴ ω²+ω = -1

=> [tex](x+y+z)[x^2+y^2+z^2+xy(-1)+yz(w^2+w)+xz(-1)][/tex]

=> [tex](x+y+z)(x^2+y^2+z^2-xy-yz-xz)[/tex]

According to formula:

x³+y³+z³-3xyz = [tex](x+y+z)(x^2+y^2+z^2-xy-yz-xz)[/tex]

So, it becomes

=> [tex]x^3+y^3+z^3-3xyz[/tex]

Answer:

30° and 60°

Step-by-step explanation:

Step 1: Write out equation

x + (x + 30) = 90

Step 2: Solve for x

2x + 30 = 90

2x = 60

x = 30

Step 3: Find other angle

90 - 30 = 60

Answer:

30 and 60

Step-by-step explanation:

Let x be one  angle

x+30 is the other angle

Complementary angles add to 90

x+ x+30 = 90

2x+30 = 90

Subtract 30 from each side

2x=90-30

2x= 60

Divide by 2

2x/2 = 60/2

x = 30

The angles are 30 and 30+30 = 60

Answer:

45 degrees

Step-by-step explanation:

corresponding angles have are equal

Answer:

A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

61+3=64

16*4=64

64=64