Dilate ΔABC by a factor of 2 (with the origin as the center of dilation) to form ΔA′B′C′. Measure the side lengths of the dilated triangle. Confirm that the ratio of corresponding side lengths of ΔABC and ΔA′B′C′ is equal to the scale factor of the dilation.

Answer:

D. Both meals are healthful choices

Answer:

[tex]\mathbf{6xe^xy+y^2e^x = C}[/tex] which implies that C is the integrating factor

Step-by-step explanation:

The correct format for the equation given is:

[tex]y(6x+y +6)dx +(6x +2y)dy=0[/tex]

By the application of the general differential equation:

⇒ Mdx + Ndy = 0

where:

M = 6xy+y²+6y

[tex]\dfrac{\partial M}{\partial y}= 6x+2y+6[/tex]

and

N = 6x +2y

[tex]\dfrac{\partial N}{\partial x}= 6[/tex]

∴

[tex]f(x) = \dfrac{1}{N}\Big(\dfrac{\partial M}{\partial y}- \dfrac{\partial N}{\partial x} \Big)[/tex]

[tex]f(x) = \dfrac{1}{6x+2y}(6x+2y+6-6)[/tex]

[tex]f(x) = \dfrac{1}{6x+2y}(6x+2y)[/tex]

f(x) = 1

Now, the integrating factor can be computed as:

[tex]\implies e^{\int fxdx}[/tex]

[tex]\implies e^{\int (1)dx}[/tex]

the integrating factor = [tex]e^x[/tex]

From the given equation:

[tex]y(6x+y +6)dx +(6x +2y)dy=0[/tex]

Let us multiply the above given equation by the integrating factor:

i.e.

[tex](6xy+y^2 +6y)dx +(6x +2y)dy=0[/tex]

[tex](6xe^xy+y^2 +6e^xy)dx +(6xe^x +2e^xy)dy=0[/tex]

[tex]6xe^xydx+6e^xydx+y^2e^xdx +6xe^xdy +2ye^xdy=0[/tex]

By rearrangement:

[tex]6xe^xydx+6e^xydx+6xe^xdy +y^2e^xdx +2ye^xdy=0[/tex]

Let assume that:

[tex]6xe^xydx+6e^xydx+6xe^xdy = d(6xe^xy)[/tex]

and:

[tex]y^2e^xdx +e^x2ydy=d(y^2e^x)[/tex]

Then:

[tex]d(6xe^xy)+d(y^2e^x) = 0[/tex]

[tex]6d (xe^xy) + d(y^2e^x) = 0[/tex]

By integration:

[tex]\mathbf{6xe^xy+y^2e^x = C}[/tex] which implies that C is the integrating factor

Answer:

Saleh is x years old. And 10 years ago he was 100 years old.

Suha is x years old. Saleh is 10 years younger than Suha. Saleh is 100 years old.

❀ [tex]\huge\underline{ \underline{Solution :-}}[/tex]

[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )[/tex]

To solve, use the algebraic identity ➺

[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} ) \\ = ({y}^{2}) ^{2} + ( \frac{5}{7} + - \frac{14}{5} ) {y}^{2} + \frac{5}{7} \times - \frac{14}{5} \\ = {y}^{4} - \frac{73}{35} {y}^{2} - 2[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

8 - 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given: [tex]\frac{26}{4 + \sqrt{3} }[/tex]

To express the given question in the form a + b[tex]\sqrt{3}[/tex], we first have to rationalize the denominator of the expression.

Rationalizing the denominator, we have;

[tex]\frac{26}{4 + \sqrt{3} }[/tex] * [tex]\frac{4 - \sqrt{3} }{4 - \sqrt{3} }[/tex]  = [tex]\frac{104 -26\sqrt{3} }{16 -4\sqrt{3} + 4\sqrt{3}- 3 }[/tex]

= [tex]\frac{104 - 26\sqrt{3} }{16 - 3}[/tex]

 = [tex]\frac{26(4 - \sqrt{3} }{13}[/tex]

= 2(4 - [tex]\sqrt{3}[/tex])

= 8 - 4[tex]\sqrt{3}[/tex]

The required form of the given question is therefore 8 - 4[tex]\sqrt{3}[/tex]

Answer:

can you show the equations?

Answer:

It is 6 foxes

Step-by-step explanation:

Because if 6 foxes can catch 6 hens in 6 minuets then 6 foxs can can 60 hens in 60 minutes because you just multiply 6 minutes by 10 and get 60 minutes which is also the same for hens.

Answer:

6 foxes

Step-by-step explanation:

For 6 foxes to catch 60 hens (10 x 6 or 10 times more than 6 hens) they will need 10 times more time than they had to catch 6 hens, or 10 x 6 = 60 minutes.

Answer:

Vertex= (-5,-4)

Another point=(0, -129)

Step-by-step explanation:

The vertex is also the maximum, and the point is also the y-intercept.

Answer:

(8,2.40)

Step-by-step explanation:

Answer:I don’t speak Spanish so I can’t help

Step-by-step explanation:

Answer:

216 different cakes are possible.

Step-by-step explanation:

Given that a bakery offers 4 different flavors of cake, 3 types of icing, 6 toppings, and 3 different sizes, if one option is chosen from each list, to determine how many different cakes are possible the following calculation must be performed:

4 x 3 x 6 x 3 = X

12 x 18 = X

216 = X

Therefore, 216 different cakes are possible.

Answer:

90

Step-by-step explanation:

Answer:

It's D, x≤-15

Answer:

60%

Step-by-step explanation:

27/45 = .6

.6 = 60%

Answer:

Step-by-step explanation:

Because of the Isosceles Triangle Theorem, the angles across from the congruent sides will be congruent. That means that the angle x also measures 42 degrees.

Answer:

Everyone's action is correct except Luis

luis's equation is wrong because he flipped the inequality sign when he subtracted

true inequality ;

2.4b + 6.5 > -8.1

so Luis wrong

HAVE A NİCE DAY

Step-by-step explanation:

GOOD LUCK :D

greeetings from Turkey ツ

Answer:

(B) Luis's, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Let's evaluate each answer choice:

"Amelia's, because the variable term must be isolated on the left side"

This answer choice is wrong! Whichever side the variable term is isolated on DOESN'T affect the answer of the problem.

"Luis's, because he flipped the inequality sign when he subtracted"

This answer choice is right! Only flip the inequality sign when dividing a NEGATIVE number.

"Shauna's, because she did not apply the subtraction property of equality properly"

This answer choice is wrong! Shauna correctly applied the subtraction proper by subtracting 6.5 from both sides.

"Clarence's, because the terms he added together were not like terms"

This answer choice is wrong! Clarence added 8.1 to both sides, so he added 8.1 to 6.5, which are like terms.

Hope it helps (●'◡'●)

Answer:

Probability of getting a number which is not 2 = 7/8

Step-by-step explanation:

Given;

Total number of faces = 8

Number of face with 2 = 1

Number of face with 3 = 2

Number of face with 4 = 1

Number of face with 7 = 3

Number of face with 9 = 1

Find:

Probability of getting a number which is not 2

Computation:

Probability of not an event = 1 - [Number of favourable outcomes / Total number of outcomes]

Probability of getting a number which is not 2 = 1 - [1/8]

Probability of getting a number which is not 2 = [8-1] / 8

Probability of getting a number which is not 2 = 7/8

Answer:

someone help call the police candice just got shot

Step-by-step explanation:

ahahahahahahahhahaa

Answer:

3m

Step-by-step explanation:

1 month =3 movies

m month =3*m movies

Mean:

E[Y] = E[3X₁ + X₂]

E[Y] = 3 E[X₁] + E[X₂]

E[Y] = 3µ + µ

E[Y] = 4µ

Variance:

Var[Y] = Var[3X₁ + X₂]

Var[Y] = 3² Var[X₁] + 2 Covar[X₁, X₂] + 1² Var[X₂]

(the covariance is 0 since X₁ and X₂ are independent)

Var[Y] = 9 Var[X₁] + Var[X₂]

Var[Y] = 9σ² + σ²

Var[Y] = 10σ²

Step-by-step explanation:

What equation are you talking about

Answer:

Step-by-step explanation:

recall that the inside angles of a triangle add up to 180°

and also that the angle 115° is the other part of a 180° total

180=115+y

180-115 =65

then the inside angle at Y  is 65°

add the three inside (interior of the triangle) angles up

180= 65 + (4k+5) + (6k+10)

180 = 65 + 10k + 15

180 = 80 + 10k

100  = 10k

10 = k

see how I did that?  

Answer:

4th option

Step-by-step explanation:

If ∠ 1 = ∠ 2 = ∠ 3

Then ∠ 1 = ∠ 3 is true

Answer:

The second one the measure of angle?1 is less then angle 3 is the correct answer.

Answer:

Using the net below, find the surface area

of the pyramid.

sto

5 in

5 in.

Surface Area

=

[?] in?Step-by-step explanation:

Answer:

[tex]2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)[/tex]

Answer:

Step-by-step explanation:

First we'll simplify this using the Sum Identity for sin(x + y) where [tex]x=\frac{3\pi}{2}[/tex] and y = x. Notice we have 2 of those so we simplify first into

[tex]2sin(\frac{3\pi}{2}+x)=-2[/tex] and divide away the 2 on the left to get

[tex]sin(\frac{3\pi}{2}+x)=-1[/tex] and now we'll expand:

[tex]sin\frac{3\pi}{2}cosx+cos\frac{3\pi}{2}sinx=-1[/tex] and go to your unit circle to find the sin and cos of [tex]\frac{3\pi}{2}[/tex] and fill in where they go:

(-1cosx + 0sinx) = -1 which simplifies to

-1cosx = -1 so

cosx = 1 and

x = 0 or 2π, depending upon what your interval is.

Answer:

C

Step-by-step explanation:

The nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 5 and d = a₂ - a₁ = - 10 - (- 5) = - 10 + 5 = - 5 , then

a₁₀ = - 5 + (9 × - 5) = - 5 - 45 = - 50 → C

Answer:

See explanation

Step-by-step explanation:

Function A is not clear; I will use the following in place of function A

Function A:

[tex]x \to\ 1 |\ 3 |\ 4 |\ 6[/tex]

[tex]y \to -1|\ 3|\ 5|\ 9[/tex]

Function B:

[tex]y = 2x + 4[/tex]

Required

Compare both functions

For linear functions, we often compare the slope and the y intercepts only.

Calculating the slope of function A, we have:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1,-1)[/tex]

[tex](x_2,y_2) = (3,3)[/tex]

So, we have:

[tex]m = \frac{3 - -1}{3 - 1}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m = 2[/tex]

To calculate the y intercept, we set [tex]x = 0[/tex], then solve for y

i.e.[tex](x,y) = (0,y)[/tex]

Using the slope formula, we have:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex]m = 2[/tex]

[tex](x_1,y_1) = (0,y)[/tex]

[tex](x_2,y_2) = (3,3)[/tex]

So, we have:

[tex]2 = \frac{3 - y}{3 - 0}[/tex]

[tex]2 = \frac{3 - y}{3}[/tex]

Multiply by 3

[tex]6 = 3 - y[/tex]

Collect like terms

[tex]y = 3 - 6[/tex]

[tex]y = -3[/tex]

So, for function A:

[tex]m = 2[/tex] -- slope

[tex]y = -3[/tex] --- y intercept

For function B

[tex]y = 2x + 4[/tex]

A linear function is represented as:

[tex]y = mx + b[/tex]

By comparison

[tex]m = 2[/tex] --- slope

[tex]b = 4[/tex] --- y intercept

By comparing the results of both functions, we have the following conclusion:

Functions A and B have the same slope (i.e. 2)

Function B has a greater y intercept (i.e. 4)