Divide. 451.85 : 100
how do i do this???

(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/2

(B) Coordinates of Δ P"Q"R"

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (8,0),

Q(6,2)

R(-2,-4)

Coordinates of P'Q'R' are

P′(4, 0)

Q′(3, 1)

R′(−1, −2)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = \(D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

Where D = Distance between two points

from distance formula we can write that

PQ = \(\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}\)

Similarly

P'Q'= √2

PQ /P'Q' = 2

hence the scale factor of dilation is 1/2 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

(x,y) as (-x,y)

So the Coordinated of Δ P"Q"R" can be written as

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

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Answer:

12 Lemons

Step-by-step explanation:

3 x 4= 12

A scientific calculator is typically used for pre-calculus.

This type of calculator is designed to handle more advanced mathematical functions, such as trigonometry, logarithms, and exponents, which are commonly used in pre-calculus.

It is important to have a scientific calculator for pre-calculus because it allows you to easily solve more complex equations and perform calculations quickly and accurately.

Additionally, many scientific calculators have graphing capabilities, which can be useful for visualizing equations and understanding how they behave. Overall, a scientific calculator is an essential tool for pre-calculus and can help you succeed in the course.

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Answer:

x=1

Step-by-step explanation:

since the other side is 12 and both sides are even, the right side would be 12 as well

13(1)-1=12

Answer:

x=1

Step-by-step explanation:

I'm not completely sure I'm correct but if 12 and 13x-1 are equal, then try different numbers for x until you find the number that makes 13x-1 equal 12. For example: If x=0, 13(0)-1 equals -1.

if x=1, 13(1)-1 equals 12.

Therefore, x is 1.

Step-by-step explanation:

there are 2 variables in one equation, and none of the variables can be eliminated through simplification.

-19x + 3y - 4 = 3

-19x + 3y = 7

so, there will be infinitely many solutions.

Answer:

\(\boxed{\color{blue}\textsf{The weight of the Aluminium oxide is \textbf{900 grams . }}}\)

Step-by-step explanation:

Here we are given 9 moles of \(\sf Al_2O_3\) and we need to find its weight in grams . So we know the formula to find the number of moles as ,

\(\qquad\boxed{ \sf N_{(moles)}= \dfrac{Weight(in \ grams )}{Molecular \ weight }}\)

Now the molecular mass of \(\sf Al_2O_3\) is , equal to 26*2 + 16*3 = 52 + 48 = 100 g

Using the formula to find the Number of moles :-

\(\sf\implies \sf N_{(moles)}= \dfrac{Weight(in \ grams )}{Molecular \ weight } \\\\\sf\implies 9 =\dfrac{ W}{ 100g }\\\\\sf\implies W = 9 \times 100 g \\\\\sf\implies\boxed{\pink{\frak {Weight_{(Al_2O_3)}= 900 grams }}}\)

Answer:

no way is these points omg i love it

Answer:

ask others

Step-by-step explanation:

let y be days for the snowman to be less than 2 1/2 feet tall.

4 5/6 ÷ (-5/12)y = 2 1/2

Using multiplication, Correct option is B, Justin earned $144 in 4 weeks.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size.

The multiplicand, multiplier, and product are the components of a multiplication sentence. The first number is the multiplicand, the second number is the multiplier, and the result is the product. Let's examine a few various forms of multiplication sentences and discover how to finish them.

As per the question,

Each week they make a total of $72.00,

Money earned in 4 weeks = 72 × 4 = $288

They split in equal halves,

⇒ $288 / 2 = $144

∴ Justin earned $144 in 4 weeks.

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On solving the four equations, it is obtained that the correct equation is option A: m = 12f - 8.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The figure number is represented by the variable f.

The number of match sticks is denoted by the variable f.

The first equation is -

m = 12f - 8

Substitute f = 1 to obtain m = 4 as figure 1 contains 4 match sticks.

m = 12(1) - 8

m = 12 - 8

m = 4

Substitute f = 2 to obtain m = 16 as figure 2 contains 16 match sticks.

m = 12(2) - 8

m = 24 - 8

m = 16

Therefore, equation 1 is the correct option.

The second equation is -

m = 4f - 3

Substitute f = 1 to obtain m = 4 as figure 1 contains 4 match sticks.

m = 4(1) - 3

m = 4 - 3

m = 1

The value for m obtained doesn't matches with the value of m given.

Therefore, equation 2 is the incorrect option.

The third equation is -

m = f + 3

Substitute f = 1 to obtain m = 4 as figure 1 contains 4 match sticks.

m = (1) + 3

m = 1 + 3

m = 4

Substitute f = 2 to obtain m = 16 as figure 2 contains 16 match sticks.

m = (2) + 3

m = 2 + 3

m = 5

The value for m obtained doesn't matches with the value of m given for the second figure.

Therefore, equation 3 is the incorrect option.

The fourth equation is -

m = f + 12

Substitute f = 1 to obtain m = 4 as figure 1 contains 4 match sticks.

m = (1) + 12

m = 1 + 12

m = 13

The value for m obtained doesn't matches with the value of m given.

Therefore, equation 4 is the incorrect option.

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Answer: 38π

Step-by-step explanation:

The formula for the circumference of a circle is

2πr or 2 * π * r

If the radius is 19, you can fill it in:

2 * π * 19

You can simplify that to

38 * π or 38π

So the answer in terms of π is 38π.

If you would, please give brainliest.

Check the picture below.

so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.

\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)

Answer:

Step-by-step explanation: we will first work out a

so 23 is the hypotenuse

a is the opposite

so what we need to do is 46sin(23) and that will give you 17.97 cm

next we will work out b

b is the adjacent

23 is the hypotenuse

so in this case we must do 46cos(23) and that will give you 42.34

last, we will work out B

a is 17.97 cm and its the adjacent

23 is the hypotenuse

so we do sin-1(17.97/23)= 51.38

Answer:

3. trust me because 9 is leads than 2

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

Explanation:

The given equation is y = (-3/4)x - 2. Comparing it to y = mx+b, the slope is m = -3/4

Flip the fraction and the sign to go from -3/4 to 4/3. This is the perpendicular slope. Multiplying the two slopes gets (-3/4)*(4/3) = -1.

Rule: the original slope and perpendicular slope always multiply to -1, assuming neither line is vertical or horizontal.

We'll use the point (x,y) = (3,6) and the perpendicular slope m = 4/3 to find the y intercept b

y = mx+b

6 = (4/3)(3) + b

6 = 4+b

6-4 = b

2 = b

b = 2

The y = mx+b equation becomes y = (4/3)x + 2 which is the slope intercept form of the perpendicular line.

--------------

Extra info:

If you want to convert to standard form Ax+By = C, then you could do the following steps

y = (4/3)x + 2

3y = 4x + 6 ... multiply everything by 3 to clear out the fraction

3y - 4x = 6

-4x + 3y = 6

4x - 3y = -6 ... multiplying both sides by -1; this is to make A > 0

Summary:

(i) To find the value of α such that the vectors v1, v2, and v3 are linearly dependent, we can set up a system of equations and solve for α.(ii) The Basis Theorem states that any set of linearly independent

(i) To check if v1, v2, and v3 are linearly dependent, we can set up the following equation:

c1v1 + c2v2 + c3v3 = 0,

where c1, c2, and c3 are constants. Substituting the given values of v1, v2, and v3, we have:

c1(3,7,7) + c2(1,4,4) + c3(α,1,1) = 0.

Simplifying this equation, we get the following system of equations:

3c1 + c2 + αc3 = 0,

7c1 + 4c2 + c3 = 0,

7c1 + 4c2 + c3 = 0.

We can solve this system of equations to find the value of α that satisfies the condition.

(ii) The Basis Theorem states that any set of linearly independent vectors that span a vector space can be used as a basis for that vector space. By applying the Basis Theorem to the vectors v1, v2, and v3, we can check if they form a basis for ℝ3. If they do, we can find the coordinates of a given vector, such as (2,3,5), in terms of the basis using Gaussian Elimination.

To apply Gaussian Elimination, we set up the augmented matrix [v1 | v2 | v3 | b], where b is the given vector (2,3,5). Then we perform row operations to obtain the row-echelon form of the augmented matrix. The resulting matrix will allow us to determine the coordinates of b in terms of the basis vectors.

By performing the Gaussian Elimination process, we can find the coordinates of (2,3,5) in terms of the basis vectors.

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There is no value of α that makes the vectors linearly dependent, and the basis for ℝ³ using the vectors [377, 148, 11α] is {v₁, v₂, v₃}, with the coordinates of [2, 3, 5] in terms of the basis found through Gaussian Elimination.

(i) To find the value of α such that vectors v₁, v₂, and v₃ are linearly dependent, we need to determine if there exist scalars a, b, and c, not all zero, such that a(v₁) + b(v₂) + c(v₃) = 0. Substituting the given values, we have a(377) + b(148) + c(11α) = 0. By solving this equation, we can find the value of α that satisfies the condition for linear dependence.

(ii) The Basis Theorem states that any set of linearly independent vectors that spans a vector space forms a basis for that vector space. Using a different value of α than the one found in (i), we can apply the Basis Theorem to determine a basis for ℝ³ using the vectors v₁, v₂, and v₃.

By performing Gaussian Elimination or row reduction on the augmented matrix [v₁ v₂ v₃], we can determine the basis vectors. The coordinates of vector [2 3 5] in terms of the basis can be found by solving the system of equations formed by equating the linear combination of the basis vectors to [2 3 5].

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Answer: $3

36 ÷ 12 = 3

Answer:

$3 per month

Step-by-step explanation:

Answer:

45 degrees

Step-by-step explanation:

180-(105+30)

180-135=45

Answer: 45

Step-by-step explanation:

The line is already 180

All the angle are vertical angles also so they are congruent.

Add 105 and 30

105+30=135

Now subtract

180-135

=45

Answer:

Neil would buy 4 packages of hamburger patties and 5 packages of hamburger buns. He could make 20 burgers.

Step-by-step explanation:

Answer:

26.411

Step-by-step explanation:

In 3a+bc-c you have to substitute

a=8.6, b=2.3, c=0.47

3*8.6 + 2.3*0.47 - 0.47 first do the multiplication then addition and subtraction

25.8 + 1.081 - 0.47=

26.411

Answer:

true yes

Step-by-step explanation:

The representation shown is not a quadratic function.

Given a table of representation.

If it is a quadratic function, it will be of the form,

y = ax² + bx + c

We have a point (0, 4).

Substituting to the quadratic form, c = 4.

Quadratic function is of the form, y = ax² + bx + 4

We have points (3, -1) and (-3, 10).

9a + 3b = -5

9a - 3b = 6

Solving, a = 1/18 and b = 3/2

Function is y = 1/18 x² + 3/2 x + 4

Substituting any other point, (6, -5),

1/18 × 6²  + 3/2 × 6 + 4 = 15 ≠ -5.

Hence the representation is not a quadratic function.

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Answer:

m>60

Explanation:

Let the number of miles driven = m

Company A charges $97 and allows unlimited mileage.

Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.

When the charge for Company A is less than that of Company B:

We then solve the inequality for m:

Company A will charge less than Company B when the number of miles driven, m is greater than 60.

Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

Answer:

D.

Step-by-step explanation:

The Null spaces in matrix b is \(\left[\begin{array}{ccc}-2\\1\\0\\0\end{array}\right]\) , \(\left[\begin{array}{ccc}3\\0\\1\\0\end{array}\right]\)

The Null spaces for matrix C is \(\left[\begin{array}{ccc}0\\0\\0\end{array}\right]\)

For Null spaces we form an augmented matrix by appending a column of zeros to the right, and then put this matrix in reduced row-echelon form.

We convert the matrix equation back to an equivalent system. Add an equation for each free variable. Solve for each variable in terms of the free variables.

Then we collect terms into vectors and after that factor out variables on the right side. Thus, a basis for the null space is calculated. Detailed solution in the image.

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Answer:

d= all the x values

r=all the y values

Step-by-step explanation:

Answer:

(2, -3)

Step-by-step explanation:

These are the steps I used:

(6x+2y=6) x3 -> 18x+6y=18

(7x+3y=5) x2 -> 14x+6y=10

When you subtract the equations you get:

4x=8

x=2

The solution to the system of equations is -3 and -2

The correct option is A

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one.

6x+2y=6 is equation (1)

7x+3y=5 is equation (2)

Multiplying equation (1) by (3)

18x+6y=18 is equation(3)

By multiplying (2) by 2

14x+6y=10 is equation (4)

Substrate equation (4) from (3)

4x=8 Now, divide both sides by 4

X=2

Substitute x=2 in (1)

6(2)+2y=6

12+2y=6

Substrate 12 from LHS and RHS

2y=-6

Divide both sides by 2

y=-3

Hence x=2 and y=-3

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Answer:

m∠B= 67

m∠C= 23

Step-by-step explanation:

okay so same thing we did before except they will equal 90 not 180

B= 3(c)+2

c+b=90

c+3(c)+2=90

4c+2=90

4c=92

c=23

now input them! or subtract!

90-23=67

m∠C=23

m∠B=67