Use the graph to answer the question.

graph of polygon ABCD with vertices at 1 comma 5, 3 comma 1, 7 comma 1, 5 comma 5 and a second polygon A prime B prime C prime D prime with vertices at 8 comma 5, 10 comma 1, 14 comma 1, 12 comma 5

Determine the translation used to create the image.

7 units to the right
7 units to the left
3 units to the right
3 units to the left

Answer:

For the given graph the constant of proportionality is 6.

Step-by-step explanation:

Answer:

  (a)  p = 6

Step-by-step explanation:

You want the constant of proportionality if the point (1/2, 3) lies on the graph of the relationship.

The equation for a proportional relationship is ...

  y = px

The value of p can be found as ...

  p = y/x . . . . . divide by x

For the given relationship, the point (x, y) = (1/2, 3) tells ...

  p = 3/(1/2) = 3·(2/1) = 6

The constant of proportionality is p = 6, matching choice A.

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Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(5,-3) and (-4,7)

The midpoint is

We have the final answer as

Hope this helps you

Answer: C. $67.50

Explanation:

1. Convert 25% into a decimal (0.25)

2. Multiply 90 by 0.25 to get the amount of money discounted. (90x0.25=22.5=$22.50)

3. Subtract 22.5 from 90 to get the sales price. (90-22.5=67.5=$67.50)

Answer:

(−2)(2)+(3)(−5)

=−19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

(-2)2 + 3 * (-5)

-2 * 2 = -4

3 * -5 = -15

-4 + -15 = -19

b. congruent; a reflection followed by another reflection

If grey shape is reflected across the x-axis and then the y-axis, or viceversa, white shape is obtained.

After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.

To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:

Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)

where:

P = the initial loan amount (in this case, $219,000)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)

b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)

First, we need to calculate the monthly interest rate:

r = 4.5% / 12 = 0.00375 = 0.375%

Next, we can plug in the values to get:

Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)

= $145052.36

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Answer:

To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:

EAR = (1 + r/n)^n - 1

where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.

For daily compounding, n = 365 (since there are 365 days in a year), so we have:

EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%

To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:

EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%

Therefore, the effective annual rate for hourly compounding is approximately 7.27%.

The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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Answer:The absolute value of a number is its distance away from zero. That number will always be positive, as you cannot be negative two feet away from something. So any absolute value equation set equal to a negative number is no solution, regardless of what that number is.

Step-by-step explanation:

there u go

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

The required equation is :

\(\qquad \sf  \dashrightarrow \:a \cos(bx) + k\)

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

\(\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2\)

Not passing through origin (it's cosine)

Period:-

Now

Frequency:-

\(\\ \rm\dashrightarrow \nu=\dfrac{1}{T}\)

\(\\ \rm\dashrightarrow \nu=\dfrac{1}{6}\)

\(\\ \rm\dashrightarrow \nu=0.167Hz\)

Answer:

\(x = 25\)

Step-by-step explanation:

Interior angles of a triangle = 180°

\(3x + 67 + 38 = 180 \\ 3x + 105 = 180 \\ 3x = 180 - 105 \\ 3x = 75 \\ \\ x = \frac{75}{3} \\ \\ x = 25\)

I hope I helped you^_^

Answer:

-2 11/35

GOOD LUCK!!

Answer:

Step-by-step explanation:

\(i.e \: \frac{3 + 20}{2} , \frac{15 + 8}{2} \)

\( \frac{23}{2} , \frac{23}{2} \)

\((11.5,11.5)\)

The question asked to us is about to find the midpoint coordinates of point A(3,15) and B(20,8). To deal with this problem we must know that we have two points through which the line passes.

The standard formula for calculating midpoint is given by,

\(:\implies\tt{( \frac{x1 + x2}{2} ) \: ( \frac{y1 + y2}{2} )}\)

Here we have,

Now substituting those values in given formula,

\(:\implies\tt{( \frac{3 + 20}{2} ) \: ( \frac{15 + 8}{2} )}\)

\(:\implies\tt{( \frac{23}{2} ) \: ( \frac{23}{2} )}\)

\(:\implies\tt{(11.5) \: (11.5)}\)

Answer:

cos A = \(\frac{35}{37}\)

Step-by-step explanation:

cos A = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{35}{37}\)

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

The decimal that is equivalent to (8 × 3)(1/10 × 1/10) is 0.24

The expression is given as

(8×3)(110×110)

Rewrite the expression properly as follows

So, we have

(8 × 3)(1/10 × 1/10)

Evaluate the product of 8 and 3

So, we have

(8 × 3)(1/10 × 1/10) = (24)(1/10 × 1/10)

Evaluate the product of 1/10 and 1/10

So, we have

(8 × 3)(1/10 × 1/10) = (24)(1/100)

Express 1/100 as a decimal

So, we have

(8 × 3)(1/10 × 1/10) = (24)(0.01)

Remove the brackets

So, we have

(8 × 3)(1/10 × 1/10) = 24 x 0.01

This implies that

Evaluate the product of 24 and 0.01

So, we have

(8 × 3)(1/10 × 1/10) = 0.24

Hence, the decimal that is equivalent to (8 × 3)(1/10 × 1/10) is 0.24

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Answer:

................A and B....................

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

The equivalent expression 2 / 7 d¹¹ for given exponential expression

6d⁻⁴ / 21 d⁷ which is determined by dividing by the GCF of 3.

Given,

An equivalent expression for 6 times d raised to the negative fourth power all over quantity 21 times d raised to the seventh power end quantity.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

We have been the given expression below as:

⇒ 6d⁻⁴ / 21 d⁷

To begin, divide the numerator and denominator by the GCF of 3.

If the negative exponent is relocated to the denominator, it will turn positive.

So you will have

⇒ 2 / 7 d⁷d⁴

Add the exponents because their base is the same,

⇒ 2 / 7 d⁷⁺⁴

⇒ 2 / 7 d¹¹

Therefore, the equivalent expression 2 / 7 d¹¹ for given exponential expression 6d⁻⁴ / 21 d⁷.

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Answer:

its A i took the flvs test

Step-by-step explanation:

The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

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Answer:

isosceles

Step-by-step explanation:

Two sides are the same length as indicated by the lines on the sides.

This tells use that the triangle is isosceles

Answer:

Hi, this an isoceles triangle

Step-by-step explanation:

An isoceles triangle has 2 equal sides

A right angled one has a right angle (90 degrees)

An equilateral traingle has all of his sides equal

A scalene has all of his sides different.

So this must be an isoceles triangle because there is basically a proof of the two equal sides (the bars).

Hope its clear!

Answer:

There was a profit of ₹750.

Step-by-step explanation:

325 bags of white cement

Profit of 10 for each bag of white cement. So

\(P = 325*10 = 3250\)

500 bags of grey cement.

Loss of 5 for each bag of grey cement. So

\(L = 5*500 = 2500\)

What is its profit or loss?

3250 - 2500 = 750

Positive, so profit. There was a profit of ₹750.

x=3

pls mark as brainliest

Answer:

x=3 is the answer

Step-by-step explanation:

Mark as brainliest please!

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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Answer:

The surface area is 24 squared meters

Step-by-step explanation:

Given

\(l= 2\) --- edge length

Shape: Cube

Required

The surface area

This is calculated as

\(Area = 6l^2\)

So, we have:

\(Area = 6*2^2\)

\(Area = 6*4\)

\(Area = 24\)