parallel and perpendicular lines.

Answer:

q=12.5

Step-by-step explanation:

Divide each term by 0.5 and simplify

Answer:

12.5

Step-by-step explanation:

0.5q = 6.25

/0.5        /0.5

q = 12.5

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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Answer: Im not really sure of the answer but i think it 7

Step-by-step explanation:

Answer:

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

Initial height is the y-intercept of the line.

Yearly growth rate is the slope.

So we have:

The equation of the line with these constants is:

The answer is (d.) (x - 2)^2 = 9, which is equivalent to the original equation when completing the square.  To solve the given quadratic equation using the completing the square method, we'll rewrite the equation in the form (x - h)² = k.

Given equation: 0 = 3x² - 12x - 15

First, let's divide by 3 to simplify the equation:

0 = x² - 4x - 5

Next, let's complete the square by adding and subtracting the square of half the coefficient of x:

0 = (x² - 4x + 4) - 5 - 4

Now, we can rewrite the left side as a perfect square:

0 = (x - 2)² - 9

Finally, add 9 to both sides to get the equation in the desired form:

(x - 2)² = 9

So the correct answer is (d.) (x - 2)² = 9.

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Answer:

1/x = 1/4 + 1/3

Step-by-step explanation:

In 4 hours Bethany did the whole fraction 1 of the house.

In 1 hour he would do 1/4 of it.

In 3 hours Colin did the whole fraction 1 of the house.

In 1 hour he would do 1/3 of it.

In 1 hour they would both do (1/4 + 1/3)

If it takes both of them x hours to finish 1 whole fraction of the house.

In 1 hour they will both do 1/x

That means that:

1/x = 1/4 + 1/3

That is the equation. x can be solved for.

that the confidence levels and p - values from the t procedures are quite accurate even if the population distribution is not exactly normal

Because the t procedures are robust, the most important condition for their safe use is that.

The meaning of that major reason is

that the confidence levels and p - values from the t procedures are quite accurate even if the population distribution is not exactly normal

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0 degrees Celsius + 0 degrees Celsius = 0 degrees Celsius = 32 degrees Fahrenheit.

To convert Celsius to Fahrenheit, we use the formula:

°F = (°C × 9/5) + 32

Let's calculate the conversion for 0 degrees Celsius:

°F = (0 × 9/5) + 32

°F = 0 + 32

°F = 32

Therefore, 0 degrees Celsius is equal to 32 degrees Fahrenheit.

Now, let's consider the addition of 0 degrees Celsius and 0 degrees Celsius:

0 degrees Celsius + 0 degrees Celsius = 0 + 0 = 0

Since 0 degrees Celsius is equivalent to 32 degrees Fahrenheit, the sum of 0 degrees Celsius and 0 degrees Celsius is 0, not 64 degrees Fahrenheit.

So, 0 degrees Celsius + 0 degrees Celsius = 0 degrees Celsius = 32 degrees Fahrenheit.

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Answer:

answer y= 3x +5

Step-by-step explanation:

-6x+2y=10

we need to get y by itself so move the -6x to the other side

you get

2y=6x+10

divide everything by 2

2y/2=6x/2+10/2

y= 3x+5

Answer:

i gauth math NYU po meron yan

Yes, the given pair of triangles are congruent by ASA rule.

In geometry, two triangles are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Given are two triangles, labelling by names, (refer to the image attached)

Considering the triangles, Δ ABC and Δ DEC,

We have,

AC = DC [given]

∠ A = ∠ D [both are congruent]

∠ ACB = ∠ DCE [vertically opposite angles]

∴ Δ ABC ≅ Δ DEC

By ASA rule.

Hence, we can say, the given pair of triangles are congruent by ASA rule.

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Answer:

x = -3         y = -1

Step-by-step explanation:

The line goes down by 3 and by 1

The value of the new home is $142000.

It is important to note that mean simply means the average of a set of numbers that are given. In this situation, Seven houses on a block have values of $105,000, $110,000, $110,000, $117,000, $125,000, $135,000and $138,000.

The addition of the values will be $840000.

When an eighth home is built on the block, the average home value for the block is $122,750. The total will be:

= $122750 × 8

= $982000

The value of the new house will be:

= $982000 - $840000

= $142000

The value is $142000.

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Answer:

\( \purple { \boxed{x = 25 \times \sin \: 39 \degree}}\)

Step-by-step explanation:

\( \sin \: 39 \degree = \frac{x}{25} \\ 25 \times \sin \: 39 \degree = x \\ \huge \red{ \boxed{x = 25 \times \sin \: 39 \degree}}\)

The volume of the pyramid is 8 \(in^{2}\)

Pyramid is a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex.

How to determine this

Volume of pyramid = 1/3 * Base area * Height

Base area = 4 inches square

Height = 4 inches

Volume of pyramid = 1/3 * 4 * 6

Volume of pyramid = 1/3 *24

Volume of pyramid = 24/3

Volume of pyramid = 8 \(in^{3}\)

Therefore, the volume of the pyramid is 8 \(in^{3}\)

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Answer:

not sure

Step-by-step explanation:

Rounding up to the nearest unit, it would take Calvin approximately 27 months to pay off his credit card with a monthly payment of $165.

To determine how long it would take Calvin to pay off his credit card, we need to consider the monthly payment amount and the interest rate. Let's calculate the time it would take for two different monthly payment amounts: $220 and $165.

a. Monthly payment of $220:

Let's assume the initial balance on Calvin's credit card is $3,000, and the annual interest rate is 4 percent. To calculate the monthly interest rate, we divide the annual interest rate by 12 (number of months in a year):

Monthly interest rate = 4% / 12 = 0.3333%

Now, we can calculate the time it would take to pay off the credit card using the monthly payment of $220 and the monthly interest rate. We'll use a formula for the number of months required to pay off a loan with fixed monthly payments:

n = -(log(1 - (r * P) / A) / log(1 + r))

Where:

n = number of months

r = monthly interest rate (as a decimal)

P = initial balance

A = monthly payment

Plugging in the values:

n = -(log(1 - (0.003333 * 3000) / 220) / log(1 + 0.003333))

Using a calculator, we can find:

n ≈ 15.34

Rounding up to the nearest unit, it would take Calvin approximately 16 months to pay off his credit card with a monthly payment of $220.

b. Monthly payment of $165:

We can repeat the same calculation using a monthly payment of $165:

n = -(log(1 - (0.003333 * 3000) / 165) / log(1 + 0.003333))

Using a calculator, we find:

n ≈ 26.39

Please note that these calculations assume that Calvin does not make any additional charges on his credit card during the repayment period. Additionally, the interest rate and the balance are assumed to remain constant. In practice, these factors may vary and could affect the actual time required to pay off the credit card balance.

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Answer:

Step-by-step explanation:

Let the price of the shirt after discount = y

Reduction = £3

Original price= y + 3

Answer:

slope=-3, y-intercept=(0,4), x-intercept= (4/3,0)

Step-by-step explanation:

Answer:

Slope is -2

The initial equation would be

y= -2x-20

Start from -20 on the Y axis since that is y- intercept

Now go up 2 and left 1.

Keep repeating that until graph is either filled or done

Refer to image

The first-order partial derivative is ∂y/∂z = \(-2x + z^-^1^/^2\).

The second-order partial derivative is ∂²y/∂z∂x = -2

The first-order partial derivatives of the given function y = 6x² - 2zx + 3x¹² + z¹/2 - x - 9 are:

∂y/∂x = 12x - 2z + 36x¹¹ - 1,

∂y/∂z =\(-2x + z^-^1^/^2\).

The second-order partial derivatives of the function are:

∂²y/∂x² = 12 + 396x¹⁰,

∂²y/∂z² = \(z^-^3^/^2\)

∂²y/∂x∂z = -2,

∂²y/∂z∂x = -2.

In the first paragraph, I have provided the first-order partial derivatives of the given function with respect to x (∂y/∂x) and z (∂y/∂z). These derivatives represent the rates of change of the function with respect to each variable, while keeping the other variables constant.

In the second paragraph, I have provided the second-order partial derivatives. These represent the rates of change of the first-order partial derivatives with respect to each variable. ∂²y/∂x² measures the curvature of the function with respect to x, while ∂²y/∂z² measures the curvature with respect to z. ∂²y/∂x∂z and ∂²y/∂z∂x represent the cross-partial derivatives, indicating how the function changes simultaneously with respect to both x and z. These partial derivatives provide additional information about the behavior of the function in multiple dimensions and can be used to analyze critical points, extrema, and curvature.

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This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

well, we know it's a rectangle with two removed semicircle's, hmmm hold on!! two semicircles make together a whole circle, well, let's remake that circle and put it inside the rectangle, then, let's subtract that area from that of the rectangle's, Check the picture below.

\(\stackrel{\textit{\LARGE Areas}}{\stackrel{rectangle}{(16)(4)}~~ - ~~\stackrel{circle}{\pi (2)^2} }\implies 64~~ - ~~4\pi ~~ \approx ~~ \text{\LARGE 51.4}\)

The range of speeds at which a car can safely make the curve is approximately 70 km/h to 130 km/h.


When a car moves along a banked curve, the friction force plays a crucial role in preventing the car from slipping. To determine the safe range of speeds, we consider two scenarios: when the car goes too slow and when it goes too fast.
1. When the car goes too slow: If the car moves slower than the required speed, the friction force points uphill, away from the center of the curve. In this case, the static friction force needs to provide the centripetal force. Using the equation F_friction = μ_s * N, where μ_s is the coefficient of static friction and N is the normal force, we can find the minimum speed at which the friction force can supply the required centripetal force.

2. When the car goes too fast: If the car moves faster than the required speed, the friction force points downhill, toward the center of the curve. The static friction force is not needed for the centripetal force in this case. Instead, the vertical component of the normal force provides the necessary centripetal force. Again, we can use the equation F_friction = μ_s * N to find the maximum speed at which the friction force is still within the limit.
Considering these scenarios, with a coefficient of static friction of 0.40, we find that the safe range of speeds for the car to make the curve is approximately 70 km/h to 130 km/h, rounded to two significant figures.

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Brandon is currently 6 81 years old.

Let M be Michael's age and B be Brandon's age.

We are given that Michael is 3 33 times as old as Brandon. This means that M = 3 33 × B

We are also given that 18 1818 years ago, Michael was 9 99 times as old as Brandon. This means that M - 18 1818 = 9 99 × (B - 18 1818).

We can combine these two equations to solve for Brandon's current age:

3 33 × B = (9 99 × B) + 18 1818

2 66 × B = 18 1818

B = 18 1818 / 2 66 = 6 81.

Therefore, Brandon is currently 6 81 years old.

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Answer:

y = (-1/6)x^2

Step-by-step explanation:

Original function and graph:  y = x^2

Reflection across the x-axis is y = -x^2

Vertical scaling by a factor of 1/6:    y = (-1/6)x^2

Answer:

1) Add 4

2) Add 6

Step-by-step explanation:

In Q1, you add 4 to the input to get the output.

13+4=17

20+4=24

In Q2, you add 6 to the input to get the output.

14+6=20

28+6=34

Hope this helps :)

9514 1404 393

Answer:

  (a)  y^6/x^4

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

__

  \(\displaystyle x^{-4}y^6=\frac{1}{x^4}\cdot y^6=\boxed{\frac{y^6}{x^4}}\)

The value of cosC is 15/17.

In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle. For the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse. For an angle Ɵ, the sine and cosine functions are denoted simply as sinƟ  and cosƟ.

Hence, cos Ɵ = Adjacent side/Hypotenuse side

Based on the provide information, for angle C

Opposite side (BA) = 8 units.

Adjacent side (BC) = 15 units.

Hypotenuse (AC) = 17 units.

cosC = BC/AC = 15/17

Hence, the value of cosC is 15/17.

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Answer:

y = 6

Step-by-step explanation:

-3x + 9y = 18

-3(6) +6y = 18

-18 +6y = 18

Add 18 to each side

-18+18 +6y =18+18

6y = 36

Divide each side by 6

6y/6 = 36/6

y = 6