Triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2) is dilated by a scale factor of 2 to obtain triangle L′M′N′. Which statement best describes triangle L′M′N′? It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4). It is congruent to triangle LMN and has coordinates L′(12, −16), M′(8, −8) and N′(−24, 4). It is similar to triangle LMN and has coordinates L′(3, −4), M′(2, −2), and N′(−6, 1). It is congruent to triangle LMN and has coordinates L′(3, −4), M′(2, −2), and N′(−6, 1).

Answer:

[tex]2sin(x)*cos(x)*sec(x)*csc (x)=2[/tex]

Step-by-step explanation:

Remember the identities:

[tex]sec(x)=\frac{1}{cos(x)}\\\\csc(x)=\frac{1}{sin(x)}[/tex]

Ginven the expression:

[tex]2sin(x)*cos(x)*sec(x)*csc (x)[/tex]

You need to substitute [tex]sec(x)=\frac{1}{cos(x)}[/tex] and [tex]csc(x)=\frac{1}{sin(x)}[/tex] into it:

[tex]2sin(x)*cos(x)*sec(x)*csc (x)=2sin(x)*cos(x)*\frac{1}{cos(x)}*\frac{1}{sin(x)}[/tex]

Now, you need to simplify.

Remember that:

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

And:

[tex]\frac{a}{a}=1[/tex]

Then, you get:

[tex]=\frac{2sin(x)*cos(x)}{cos(x)*sin(x)}}=2[/tex]

Answer:

A . 6.3

B . 4.4002

C . 29.7

D . 0.86

E. 4.62

F. 4.15

G. 3.29

H. 72.5

A=6.3

B=4.3911

C=29.7

D=0.86

E=4.62

F=4.15

G=3.29

H=72.52

Answer:

The solution of the equation is 15

Step-by-step explanation:

* Lets explain how to solve the problem

- The equation is 3(2x + 5) = 3x + 4x

- The solution of the equation is the value of x

Lets find the value of x

- The left hand side is 3(2x + 5) lets simplify it

- Multiply the two terms of the bracket by 3

∵ 3(2x+ 5) = 3 × 2x + 3 × 5

∴ 3(2x + 5) = 6x + 15

- The right hand side is 3x + 4x

∵ They are like terms, then we will add them

∴ 3x + 4x = 7x

- Now equate the left hand side and the right hand side

∴ 6x + 15 = 7x

- Subtract 6x from the two sides

∴ 15 = 7x - 6x

∴ x = 15

∵ x is the solution of the equation

∴ The solution of the equation is 15

Answer:

option d

13 , 173 , 29933

Step-by-step explanation:

Given in the question a function, f(x) = x² + 4

initial value x0 = -3

First iteration

f(x0) = f(-3) = (-3)² + 4 = 13

x1 = 13

Second iteration

f(x1) = f(13) = (13)² + 4 = 173

x2 = 173

Third iteration

f(x2) = f(173) = (173)² + 4 = 29933

x3 = 29933

5•(9/15)+7= 9/3 +21/3= 30/3=10

Answer:

The volume of the ornament is [tex]6\frac{2}{3}\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the ornament is equal to the sum of  the volume of the two congruent square pyramids

so

[tex]V=2[\frac{1}{3}b^{2} h][/tex]

we have

[tex]b=2\ in[/tex]

[tex]h=2.5\ in[/tex]

substitute

[tex]V=2[\frac{1}{3}(2)^{2} (2.5)][/tex]

[tex]V=\frac{20}{3}\ in^{3}[/tex]

Convert to mixed number

[tex]\frac{20}{3}=\frac{18}{3}+\frac{2}{3}=6\frac{2}{3}\ in^{3}[/tex]

Answer:

C

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

When a tangent and a secant are drawn from an external point to a circle.

Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence

x(x + 5) = 6²

x² + 5x = 36 ( subtract 36 from both sides )

x² + 5x - 36 = 0 ← in standard form

(x + 9)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

However, x > 0 ⇒ x = 4

Hey, so sorry for answer so late! I wasn't on here for a while, and I didn't get your message until I logged back in.

1.) C. 8, because if you add 3 and 5, you get 8, which is your answer.

2.) D. 9, because 9/2 equals 4.5

3.) A. 0, because if you start off with zero and add 6, you will get 6.

4.) D. y = x - 5, because when you subtract 5 from 42.50, you get 37.50, which is our desired result.

Hope this helps ya, and again, sorry about the inconvenience of answering so late. Feel free to ask more questions by messaging me on this question. Have a good day :D

If the output of the function is 5, then the input is

1. 8. ( optionC)

2. 9 ( Option D)

3. 0( option A)

4. The equation for the situation is y = x -5 ( option D).

It expresses a unique output for each input, exemplified by f(x) in algebraic terms.

In the equation;

y = x -3

the output is y

therefore;

5 = x -3

x = 5+3 = 8

Therefore the input value is 8.

2. The input value will be

x = y × 2

x = 4.5 ×2 = 9

3. The input value will be

x = 6 - 6

= 0

4. let y be the cost after the coupon and x is before the coupon

y = x - 5

Answer:

1. (-2,0)

2. (0,2)

I'm confirming the answer above. These are also the answers on Edge-nuity. I use Edge-nuity

Step-by-step explanation:

A local maximum occurs over the interval  (-2,0)  

A local minimum occurs over the interval  (0,2)

We may calculate the maximum of a continuous and twice differentiable function f(x) by first differentiating it with respect to x and then equating it to 0.

A local maximum occurs over the interval (-2,0)  

A local minimum occurs over the interval  (0,2)

Hence, local maximum and local minimum occurs at  (-2,0)  and (0,2).

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Answer:

h=3

Step-by-step explanation:

The given function is

[tex]g(x)=x^2-6x+14[/tex]

We add and subtract the square of half the coefficient of x to obtain;

[tex]g(x)=x^2-6x+(-3)^2-(-3)^2+14[/tex]

Identify the first three terms as a perfect square trinomial;

[tex]g(x)=(x-3)^2-9+14[/tex]

Simplify;

[tex]g(x)=(x-3)^2+5[/tex]

Comparing this to

[tex]g(x)=a(x-h)^2+k[/tex]

We have h=3 and k=5

Answer: h=3

the other answer on this page is right

Step-by-step explanation:

Answer:

(- 3, 6)

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y) → (- x, y), hence

(3, 6) → (- 3, 6)

The image of the point (3, 6) reflected across the y-axis is (-3, 6) since only the x-coordinate changes sign.

Reflection of a point across the y-axis in a Cartesian coordinate system involves changing the sign of the x-coordinate of the point while keeping the y-coordinate the same. For point (3, 6), when it is reflected across the y-axis, the x-coordinate becomes the opposite sign, while the y-coordinate remains unchanged. Therefore, the image of the point (3, 6) after reflection across the y-axis is at (-3, 6). This transformation elucidates the geometric effect of y-axis reflection, showcasing how points are mirrored across the axis while maintaining their vertical position, essential in geometry, graphics, and spatial reasoning for analyzing symmetrical patterns and transformations.

Answer:

5/9

Step-by-step explanation:

To have an even number (let's call it E) OR a number greater than 9 (let's call it N), you can have EITHER of them.

So, to calculate the probability, you need to find the probability of having E and then the probability of having N... then ADD them together.

To calculate the probability, just look on the image.

Probability of having an even number: 18 (red circles)

Probability of having a number greater than 9 (that is NOT already counted in the even scenario): 2 (within the blue zone, but not red)

We don't count a same possibility (like 6,4) twice, only once.

Total: 18 + 2 = 20

Out of 36 possibilities

So, probability is 20/36, or 10/18 or 5/9.

ANSWER

C. $ 7.00

EXPLANATION

It was given that four students had the following amounts of money in their pockets: $3.14, $.67, $2.45, and $1.14.

To find the amount of money they have in total, we add all their monies together to get:

$3.14+$0.67+$2.45+$1.14

This will give us a total of $7.00

Answer:

7.40

Step-by-step explanation:

to get the total money for the four student you have to do addition.

3.14

2.45

1.14

+0.65 to get $7.40

ANSWER

[tex]2(8 {x}^{2} + 9x + 16)[/tex]

EXPLANATION

The given expression is

[tex]16 {x}^{2} + 18x + 32[/tex]

The greatest common factor is 2.

We factor 2 to obtain:

[tex]2(8 {x}^{2} + 9x + 16)[/tex]

The expression in the parenthesis is prime.

This means that the quadratic expression in the parenthesis cannot be factored.

Hence the completely factored form is:

[tex]2(8 {x}^{2} + 9x + 16)[/tex]

Answer:

2(8 {x}^{2}  + 9x + 16)

Step-by-step explanation:

Answer:

[tex]\large\boxed{a.\ 7200\pi\ mm^2}[/tex]

Step-by-step explanation:

The formula of a surface area of a cylinder:

[tex]S.A.=2\pi r(r+H)[/tex]

r - radius

H - height

We have r = 40mm and H = 50mm. Substitute:

[tex]S.A.=2\pi(40)(40+50)=80\pi(90)=7200\pi\ mm^2[/tex]

Answer:

The measure of  angle x is 90°

Step-by-step explanation:

Given the figure in which

∠1=88°, ∠6=89°

we have to find the value of x.

∠5=∠6=89°   (∵ Vertically opposite angles)

∠1+∠4=∠6  ( ∵ By exterior angle property)

88°+∠4=89°

∠4=89°-88°=1°

As AC=CB (both are radii of same circle)

∴ ∠4=∠3=1°

Now, by exterior angle property

x=∠5+∠3=89°+1°=90°

Hence, the measure of  angle x is 90°

Applying the angle of intersecting chords theorem, the value of x in the diagram showing the circle is: C. 90.

According to the angle of intersecting chords theorem, the measure of the angle formed at the point of intersection of two chords inside a circle equals half the sum of the intercepted arcs.

89 = 1/2(88 + x) [based on the angle of intersecting chords theorem]

2(89) = 88 + x

178 = 88 + x

178 - 88 = x

x = 90° (Option C).

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Answer:

[tex]\large\boxed{\dfrac{10}{5!\times2!}=\dfrac{1}{24}}[/tex]

Step-by-step explanation:

[tex]n!=1\cdot2\cdot3\cdot...\cdot n\\\\5!=1\cdot2\cdot3\cdot4\cdot5=120\\2!=1\cdot2=2\\\\\dfrac{10}{5!\times2!}=\dfrac{10}{120\cdot2}=\dfrac{1}{24}[/tex]

X axis is the answer to you question because it’s going across not up nor down

The answer is A. The x-axis

Answer:

10 feet

Step-by-step explanation:

Area of rectangle

A = L * W

W = A/L

W = 80 / 8

W = 10

Answer

10 feet

The Area of the rectangle is the product of length and width. The width of the rectangle is 10 ft.

For a rectangle with length and width L and W units, we get:

Area of the rectangle = (L × W) unit^2

Perimeter of the rectangle = 2(L + W) units

Given the area of the rectangle is 80 ft², while the length of the rectangle is 8 feet. Therefore, the width of the rectangle will be,

Area of the rectangle = Length × width

80 ft² = 8 ft × width

width = 10 ft

Hence, the width of the rectangle is 10 ft.

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The answer is $55

You multiply 10 by 75 which gives you $750 and subtract the borrowed money by $750 to get $55

Final answer:

Andrew will pay a total of $55 in interest on the $695 loan when he makes 10 monthly payments of $75 each.

Explanation:

The student is asking how much interest Andrew will pay on a $695 loan if he makes 10 monthly payments of $75 each. To find the total interest paid, we need to calculate the total amount Andrew will pay back and then subtract the original loan amount from it.

Total amount paid by Andrew = 10 monthly payments times $75/payment = $750

Original loan amount = $695

Interest paid = Total amount paid - Original loan amount = $750 - $695 = $55

Therefore, Andrew will pay $55 in interest to repay the loan for the new TV.

Answer:

20 4/5

Step-by-step explanation

13/5 x 8/1 = 104/5= 20 4/5

The product of [tex]\(1 \frac{3}{5}\)[/tex] and [tex]\(8\)[/tex] is calculated by first converting the mixed number to an improper fraction and then multiplying the two fractions together.

Step 1: Convert [tex]\(1 \frac{3}{5}\)[/tex] to an improper fraction.

To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fractional part and add the numerator of the fractional part. Then, place the result over the original denominator.

For [tex]\(1 \frac{3}{5}\)[/tex] , the whole number is [tex]\(1\)[/tex], and the fractional part is [tex]\(\frac{3}{5}\)[/tex]. So, we have:

[tex]\[ 1 \times 5 + 3 = 5 + 3 = 8 \][/tex]

Thus, [tex]\(1 \frac{3}{5}\)[/tex]  as an improper fraction is [tex]\(\frac{8}{5}\)[/tex].

Step 2: Multiply the improper fraction by \(8\).

Now, we multiply [tex]\(\frac{8}{5}\)[/tex] by [tex]\(8\)[/tex] . When multiplying fractions, we multiply the numerators together and the denominators together:

[tex]\[ \frac{8}{5} \times 8 = \frac{8 \times 8}{5} \][/tex]

Step 3: Simplify the product.

[tex]\[ \frac{8 \times 8}{5} = \frac{64}{5} \][/tex]

So, the product of [tex]\(1 \frac{3}{5}\)[/tex]  and [tex]\(8\)[/tex] is [tex]\(\frac{64}{5}\)[/tex].

To express this as a mixed number, we divide [tex]\(64\)[/tex] by [tex]\(5\):[/tex]

[tex]\[ 64 \div 5 = 12 \text{ remainder } 4 \][/tex]

Thus, [tex]\(\frac{64}{5}\)[/tex]  as a mixed number is [tex]\(12 \frac{4}{5}\)[/tex].

The final answer is[tex]\(12 \frac{4}{5}\) or \(\frac{64}{5}\).[/tex]

Answer:

84ft^2

Step-by-step explanation:

Relying on formula S(area) =a(base) *h(height )

Answer:

84ft2

Step-by-step explanation:

Answer:

[tex]S_a = (13mm)^2 \cdot 6 = 1014 mm^2[/tex]

Step-by-step explanation:

Answer:

0.65454545454 or -30/46 or 65.454545454%

Hope This Helps!   Have A Nice Day!!

Answer:

-36/55

Step-by-step explanation:

For this case we must find the value of "x" of the following equation:

[tex]x ^ 2-9 = 0[/tex]

So:

We add 9 to both sides of the equation:

[tex]x ^ 2-9 + 9 = 9\\x ^ 2 = 9[/tex]

We apply square root on both sides of the equation to eliminate the exponent on the left side:

[tex]x = \pm \sqrt {9}[/tex]

Thus, the solutions are:

[tex]x_ {1} = + 3\\x_ {2} = - 3[/tex]

ANswer:

[tex]x_ {1} = + 3\\x_ {2} = - 3[/tex]

Opcion C

I believe that the answer is A 137-186,

that is the answer if you use  the Karvonen formula

Karvonen formula : target training HR = resting HR + (0.6 [maximum HR -resting HR]).

1. Resting Heart Rate (RHR) = your pulse at rest

2. Maximum Heart Rate (MHR) = 220- your age

3. Heart Rate Reserve (HRR)= Maximum Heart Rate - Resting Heart Rate  

sorry idk why my answer was deleted

Answer: That would be A mate 137-186

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 15 green power options

2. sun

wind

water

earth

tide

waves

oceans

renewable energy

biofuel

uranium

coal

natural gas

oil

tires

biomass

3. most are all viable energy sources for the future because you need them all for example like the sun if we do not have sun then we all will die

4. Oil is not a viable energy source because think of how many gallons are dumped in the ocean and how many animals and fish it kills

t = p(x)

The reason I put the x in the parentheses is because I’m not sure what the variable is supposed to be. But x stands for how many kilograms she buys, so you can out in the correct variable later.

Hope this helps!

If it does I would appreciate it if you could make me brainliest.

Answer:

t = pk

Step-by-step explanation:

Let

k = kilograms

You need another variable than just t and p.

p needs to be multiplied by another variable that represents kilograms. I used

k because kilograms starts with k.

Answer:

24

Step-by-step explanation:

There are four options for the first wire.

After the first wire has been attached, there are three wires left that can be second.

After the second wire is attached, there are two wires that can be third.

After the third wire is attached, only one wire remains.  It has to be last.

So the number of ways is:

4×3×2×1 = 24

Answer:

C.  2,160π

Step-by-step explanation:

took test

The linear velocity at the end of the blade is 13571.7 inches per minute by using the circumference of the circle that the blade makes to calculate the linear velocity at the end of the blade.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Here, The total distance in 1 minute is 60 times circumference of the circle made by the end of the blade of the lawnmower.

Since, The blade is 36 inches long, it can be taken as radius of that circle.

The circumference is thus calculated as;

⇒ linear velocity = 226.19 × 60

                           = 13571.7 inches per minute

Thus, The linear velocity at the end of the blade is 13571.7 inches per minute.

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