Please help me out with this one

The correct equation for the triangle is,

⇒ DF ≅ FD

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

By the figure, the coordinate of triangles are,

D = (- 5, 1)

E = (- 2, 3)

F = (- 3, - 2)

Hence, By using distance formula;

DE = √ (- 5 + 2)² + (1 - 3)²

     = √9 + 4

     = √13

EF = √ (- 2 + 3)² + (3 + 2)²

     = √1 + 25

     = √26

FD = √ (- 5 + 3)² + (1 + 2)²

     = √4 + 9

     = √13

Thus, We have;

⇒ DF ≅ FD

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The Linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

The point-slope equation for a line is of the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Given the point-slope equation y - 5 = 3(x - 2),

we can see that the slope of the line is 3 and it passes through the point (2, 5).

To find the linear function for the line, we need to write the equation in slope-intercept form, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line intersects the y-axis).

To get the equation in slope-intercept form, we need to isolate y on one side of the equation.

We can do this by distributing the 3 to the x term:y - 5 = 3(x - 2)  y - 5 = 3x - 6  y = 3x - 6 + 5  y = 3x - 1

Therefore, the linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

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Answer:

I might be able to help if I could see the system of equations

Answer:

f(10) means to input x = 10 into the function.

From inspection of the given function:

\(\sf f(10)=\dfrac{10}{2}=5\)

the "10" is the numerator of the fraction.

Therefore, swap the "10" for "x" to give the function in terms of x:

\(\sf f(x)=\dfrac{x}{2}\)

For a function

x is the input or domain

y is the output or range

Here

So

x=10

y=10/2

Hence the function is

Answer:

Mustaali Chill Bro

Component C, with a boiling point of 250°C, will be obtained at the bottom of the distillation column.

The component with the highest boiling point will be obtained at the bottom of the distillation column.

In this case, component C has the highest boiling point at 250°C, followed by component A at 120°C, and component B at 70°C. Therefore, during fractional distillation, component C will be obtained at the bottom of the distillation column.

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Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

The area of triangle ∆AOB is 25.1cm²

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

The area of a triangle is given as = ½ absinC

since triangle COD is congruent to AOD

Therefore the area of COD is equal to the area of AOD

area of COD = 1/2 ×7.8 × 10 × sin40

area = 1/2 × 78 sin 40

area = 50.13/2

area = 25.1cm²

therefore Area of COD = area of AOD = 25.1cm²

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It would take approximately 60 years for Keenan to double his money with an APY of 1.2%. Therefore, the answer is (a) 60 years.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To determine how long it would take for Keenan to double his money with an annual percentage yield (APY) of 1.2%, we can use the "Rule of 72." This rule is a quick and easy way to estimate the time it takes for an investment to double in value.

The rule of 72 states that to find the number of years it takes for an investment to double, we divide 72 by the annual interest rate. So, in this case, we would divide 72 by 1.2 to get:

72 / 1.2 = 60

Therefore, it would take approximately 60 years for Keenan to double his money with an APY of 1.2%. Therefore, the answer is (a) 60 years.

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Answer:

(3,-1)

Step-by-step explanation:

(y,-x) is the "formula" to use on this ordered pair to find the counterclockwise rotation of 270 degrees (you should probably memorize these for your test). This means that (1,3) would become (3,-1) after flipping the x- and y-coordinates and making the x-coordinate negative.

The image of the point (1,3) after a counterclockwise rotation of 270° is (3, -1).

The given coordinate point is (1, 3).

We need to find the image of the point (1,3) after a counterclockwise rotation of 270°.

A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.

When we rotate a figure of 270° counterclockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.

So, points (1,3) changed to (3, -1).

Therefore, the image of the point (1,3) after a counterclockwise rotation of 270° is (3, -1).

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Answer:

\(\boxed{\tt v < 6.8}\)

Step-by-step explanation:

\(\tt 0.5v+0.06 < 3.46\)

Multiply both sides by 100:-

\(\tt 0.5v\times\:100+0.06\times\:100 < 3.46\times\:100\)

\(\tt 50v+6 < 346\)

Subtract 6 from both sides:-

\(\tt 50v < 340\)

Divide both sides by 50:-

\(\tt \cfrac{50v}{50} < \cfrac{340}{50}\)

\(\tt v < \cfrac{34}{5}\)

Or

\(\tt v < 6.8\)

Therefore, your answer is v < 6.8!!! :)

______________________

Hope this helps!

Have a great day!

The missing end point A if the midpoint of the line segment AC is B (-3,2) and C is (0,4) is (-6, 0)

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

Therefore, the mid point between AC is B.

Using mid point formula we can find the end point of A.

Hence,

(x, y) = (x₁ + x₂ / 2,  y₁ + y₂ / 2)

Therefore, B(-3, 2) and C(0, 4)

(-3, 2) = (x₁ + 0 / 2, y₁ + 4 / 2)

Hence,

(-3, 2) = ( x₁ / 2, y₁ + 4 / 2)

x₁ / 2 = -3

cross multiply

x₁ = - 3 × 2

x₁  = -6

y₁ + 4 / 2 = 2

cross multiply

y₁ + 4 = 4

y₁  = 4 - 4

y₁  = 0

The missing endpoint A is (-6, 0)

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The two cones are not congruent because one of the cones is oblique in nature.

Congruent shapes are identical in size and shape. To put it another way, if you hold an object or element in a mirror, the picture you get is congruent to the object.

However, two figures may seem to be identical, but one side or angle in one figure may deviate significantly from the other. The easiest technique to assess sides and angles to check if they are equivalent or congruent is to use markings on figures.

When we apply that technique to the two figures, we realized that the two cones are not congruent because one of the cones is oblique in nature, this resulted in a difference in the slant height of the cones.

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Answer:

  A. payment: $2031.08

  B. interest: $203,959.20

Step-by-step explanation:

There are many financial calculators, apps, and spreadsheets that will solve this for you. Here, we will use the amortization formula that would be implemented by one of those.

The monthly payment is given by ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . loan of P at rate r for t years

If 10% is put down on the house, then amount that needs to be financed will be ...

  $315,000 × (1 -10%) = 0.90 × $315,000 = $283,500

For interest rate 6% and a period of 20 years, the monthly payment is ...

  A = $283,500(0.06/12)/(1 -(1 +0.06/12)^(-12·20))

  A = $283,500(0.005)(1 -(1.005^-240)) ≈ $2,031.08

__

The interest is the difference between the amount repaid and the original loan value:

  interest = 240 × $2031.08 - 283,500 = $487,459.20 -283,500

  interest = $203,959.20

The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000  

According to statement

In location A the chance that two people have four repeats is  1 in 100.

In location B the chance that two people have eight repeats is  1 in 50.

In location C the chance that two people have three repeats is  1 in 200.

So, to find the probability that two people would have matching DNA fingerprints for these three locations

Multiply the all chances in these locations:

1/100 x 1/50 x 1/200 = 1/1,000,000    

So, The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000  

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The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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The second-period budget constraint is given as c/(1 + r) = a + w(2) - b, Where, c is the consumption at time 2, w(2) is the wage rate at time 2 and b is the borrowing at time 1.

The given function is,  

u(c) = ln (c) (natural logarithm). As given in the question, the budget constraint at time 1 is described by  

c + a/(1 + r) = w(1) + a, Where c is the consumption at time 1, a is the assets at time 0, r is the interest rate and w(1) is the wage rate at time 1.

Therefore, by rearranging the equation for consumption at time 1 we get,

c = w(1) + a/(1 + r) - a ...(1)

Now, the individual utility function is u(c) = ln (c)

Hence,

u(c) = ln (w(1) + a/(1 + r) - a) ...(2)

Further, the second-period budget constraint is given as,

c/(1 + r) = a + w(2) - b, Where, c is the consumption at time 2, w(2) is the wage rate at time 2 and b is the borrowing at time 1. Rearranging the above equation for consumption at time 2, we get,

c = (a + w(2) - b)*(1 + r) ...(3)

Again, the utility function is u(c) = ln (c)

Thus, we get,

u(c) = ln (a + w(2) - b)*(1 + r) ...(4)

In the given question relates to consumer behavior and the utility functions and budget constraints that are defined for an individual consumer. The equations for consumption at time 1 and time 2 are obtained by using the budget constraints and rearranging the equations. The utility functions at times 1 and 2 are obtained by substituting the values of c in the utility function.

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\(\cfrac{1}{1+x^{a-b}}~~ + ~~\cfrac{1}{1+x^{b-a}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{1+x^{b-a}}\implies \cfrac{1}{1+x^{-(a-b)}} \implies \cfrac{1}{1+\frac{1}{x^{a-b}}}\implies \cfrac{1}{\frac{1+x^{a-b}}{x^{a-b}}}\implies \cfrac{x^{a-b}}{1+x^{a-b}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{1+x^{a-b}}~~ + ~~\cfrac{x^{a-b}}{1+x^{a-b}}\implies \cfrac{1+x^{a-b}}{1+x^{a-b}}\implies \text{\LARGE 1}\)

Answer:

um I'm not sure exactly what you wrote are you asking 1/2 divided by negative 9/5?

if so your answer will be negative 5/18

The area of the square is 1/4inches² in square inches

The area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.

The square has side of length = 6/12

this can be simplified as 1/2

so

area of the square = (1/2 × 1/2) inches ²

area of the square = 1/4inches²

Thus, the area of the square is calculated using area = s × s, as 1/4inches²

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Answer:

help with what

Step-by-step explanation:

Answer:

4kt

Step-by-step explanation:

aint nobody say who gone die to today.

∑ Hey, sydneythresher ⊃

Answer:

 [E] The expression is simplified

Step-by-step explanation:

Given:

Choose the simplified form of the expression \(\mathrm{5x^4 + 6x^2 - 2x + x^3}\)

Missing Answer Choices:

Solve:

According to the question it given; \(\mathrm{5x^4 + 6x^2 - 2x + x^3}\)

From the given we can see that it is already simplified.

Therefore, the answer is [E] The expression is simplified.

xcookiex12

8/16/2022

Answer:

s(t) = -4.9t² + 39.2t

Step-by-step explanation:

Given the projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s²

Given

g = -4.9m/s²

v0 = 39.2m/s

s0 = 0m (the initial height)

On substituting into the formula;

s(t) = gt² + v0t + s0

s(t) = -4.9t² + 39.2t + 0

s(t) = -4.9t² + 39.2t

This gives the equation that models the height

Answer:

I would buy the 2000 Toyota Tundra. Yes it is the most expensive, but it is the newest so it should require less expense money for problems, it is a manual transmission 6 cylinder so it should get better gas mileage, and it has fewer miles. The rankings of these trucks are not provided, however a Toyota tundra is considered to be a workhorse in the truck. If this is an opinion question, that's my choice.

Step-by-step explanation:

Answer:

y = -3/8(x + 2)^2 + 8

Step-by-step explanation:

vertex form is

y = a(x - b)^2 + c     where a is a constant and (b,c) is the vertex.

The maximum is at (-2, 8)  because x 8 = height and x =-2 is equn. of symmetry

So here we have

y = a(x - (-2))^2 + 8

y = a(x + 2)^2 + 8

Now at the point (-6, 2):

2 = a(-6+2)^2 + 8

2 = 16a + 8

16a = -6

1 = -3/8.

So our equation is y = 3/8(x + 2)^2 + 8

Answer:

?

Step-by-step explanation:

with what

Answer:

120

Step-by-step explanation:

I got 120 because the width of the diamonds are 30. (180 - 150)

We can make sure that is correct by checking all the other pyramids.

anyways, we have 30 60 90 120 150 for all our pyramids. So the answer is indeed

120

Answer:

A

Step-by-step explanation:

when the line is solid its greater, smaller or equal to

when the line is dashed its greater or smaller

When the shade is above the y is greater

When the shade is coming from down its less than

Answer:

-7

Step-by-step explanation:

Assuming y and x are the opposites of each other, when x = 7 y must be -7.

Answer:

(2,9)

Step-by-step explanation:

we start at the point (2,3) and moving up 6 units

when we move up or down, we are changing the value of the y-coordinate. Since we are moving up, the value of the y-coordinate increases (makes sense, if you are thinking about a graph. The further you go up, the larger the y value becomes).  

However, the x-coordinate will stay the same (no instructions on moving left or right {that changes the x value}). That means the y value will increase by 6 while the x value will stay the same.

so add 6 to 3 and get 9, and add nothing to 2

therefore, the point we end on will be (2,9)

if you would like to see a graph for clarity/visualization, please see below