In triangle ∆PQR, C is the centroid.
a. If CY = 10, find PC and PY
b. If QC = 10, find ZC and ZQ
c. If PX = 20, find PQ

Just plug in -3 for x and solve

y= -10

we have

[tex]P=\frac{KT}{V}[/tex]

Solve for K means clear the variable K

so

Multiply both sides by [tex]V[/tex]

[tex]PV=V\frac{KT}{V}[/tex]

[tex]PV=KT[/tex]

Divide both sides by [tex]T[/tex]

[tex]PV/T=KT/T[/tex]

[tex]K=PV/T[/tex]

therefore

the answer is

[tex]K=PV/T[/tex]

Answer:

[tex](x+3)(x-15)[/tex] is the required factorized form of the given expression.

Step-by-step explanation:

The given equation is:

[tex]x^2-12x-45[/tex], we have to factorized this equation,

Upon solving the above equation, we get

⇒[tex]x^2-15x+3x-45[/tex]

⇒[tex]x(x-15)+3(x-15)[/tex]

⇒[tex](x+3)(x-15)[/tex]

which is the required factorized form of the given expression.

Answer:

[tex]\tilde{x}=(-4,-5)[/tex]

Step-by-step explanation:

When we reflect a point [tex]P=(p_x,p_y)[/tex] over the y-axis, it's reflected to the point [tex]\tilde{P}[/tex] with the same y-coordinate as P and whose x-coordinate is minus the x-coordinate of P, hence

[tex]\tilde{P}=(-p_x,p_y).[/tex]

Therefore, in our particular case the point x=(4,-5) is reflected to the point

[tex]\tilde{x}=(-4,-5).[/tex]

f(x+3) = 6x+20

A function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

f(x) = 6x+2

f(x+3) = 6(x+3) + 2

         = 6x + 18 + 2

         = 6x + 20

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Answer:

Stock A: 1

Stock B: 1 and 2

Stock C: 1,7,4

Answer:

the anwser is b hope it helped

To find the number of miles between the two points, we need to calculate the distance represented by 2 1/2 inches on the map.

Given that the scale states 1 inch represents 60 miles, we can use this information to determine the distance in miles represented by each inch on the map. So, if 1 inch equals 60 miles, then we can write this as the ratio: 1 inch / 60 miles. To find the distance represented by 2 1/2 inches on the map, we can multiply the ratio by the number of inches: [tex](2 1/2 inches) × (1 inch / 60 miles)[/tex]. Simplifying this expression, we get: ([tex]5/2 inches) × (1 inch / 60 miles).[/tex]

Now, we can multiply the numerators and denominators together: [tex](5/2) × (1/60) = 5/120 = 1/24[/tex]. Therefore, [tex]2 1/2 i[/tex]nches on the map represents 1/24 of the actual distance between the two points. Now, to find the actual distance in miles, we can divide 60 miles (representing 1 inch on the map) by 24: 60 miles [tex]/ 24 = 2.5[/tex] miles. Thus, the two points on the map are approximately 2.5 miles apart from each other in actual distance.

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Grace made an error in Step 5 of evaluating the expression 'three less than the quotient of a number squared and nine, increased by eight' when n = 6. The correct evaluation should result in 12, not 7 as she calculated. Hence, the error is in Step 5, where she incorrectly concluded that the expression equals 7.

The question asks us to identify the step at which Grace made an error in evaluating the expression given the description “three less than the quotient of a number squared and nine, increased by eight” when n = 6. Without seeing the exact steps Grace took, we can still solve the expression ourselves.

Firstly, let's translate the description into an algebraic expression using n as our number:

“Three less than the quotient of a number squared and nine” can be expressed as ((n^2)/9) - 3.

Then, we “increase by eight” to get the final expression: ((n^2)/9) - 3 + 8.

If n = 6, we substitute in the value to get: ((6^2)/9) - 3 + 8, which simplifies to (36/9) - 3 + 8 = 4 + 8 = 12.

Thus, the correct answer when evaluating the expression for n = 6 is 12. Grace's error appears to have occurred in Step 5, where she incorrectly evaluated the final sum as 7.

The correct answers about these solids are that:

This is used to tell that the base of the triangles are the same and they have the same shape.

The volume of the first triangle is

[tex]2X^2h\\\\X^2h[/tex]is the volume of the second triangle.

The ratio is 2: 1

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Answer:

a, d, e

Step-by-step explanation:

At the end of 3 month both have equal number of CDs i.e. 33

Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection. Write a system to find the number of months after which they will have the same number of CDs.

Equation, is values of two expression that are equal.

Let x represent the number of months and y the number of CDs.

now
For Tom
Y = 30 + X

for Nita
Y = 18 + 5X

now solving both equation
30 + X = 18 + 5X
4X = 12
X = 3
for X = 3  y = 33

Thus At the end of 3 month both have equal number of CDs i.e. 33

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to find the height

 multiply the length of shadow by the tangent of the angle

18 * tan(28)  =9.5708

 the tree is around 9.6 feet tall

The angle of elevation is the angle at which the object is viewed from below.  The height of the tree is 8,45feet

The angle of elevation is the angle at which the object is viewed from below.

If  tree casts a shadow that is 18 feet in length at the angle of 28 degrees, the height is calculated as:

sin theta = opposite/hypotenuse

sin 28 = H/18
H = 18sin28
H = 8.45 feet

Hence the height of the tree is 8,45feet

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