Help me ASAP WILL GIVE BRAINLIEST AND 5 STAR RATE (not a real test)

The orthocenter of the ΔABC is ( -1,5 ).

In a right triangle, the orthocenter is the polygonal vertex of the right angle. When the triangle's vertices and orthocenter are joined, any point becomes the orthocenter of the other three points, according to Carnot (Wells 1991). These four locations thus form an orthocentric system.

Given the  co-ordinates A( -3,3 ), B( -1,7 ) and C( 3,3 ).

To find the orthocenter using below steps:

1. First, we find the equations of AB and BC.

The general form of a line is y = mx + b

where m is the slope and b is the y-intercept.

Using the formula of slope given \($m =\frac{y_2 - y_1}{x_2 - x_1}\)  , we will find the slope of AB and BC.

Now, slope of AB is m = (7-3/-1 + 3)  

i.e. m = (4/2) = 2

Putting this 'm' in the general form and using the point B(-1, 1), we get the y-intercept as,

y = mx + b

1 = 2 × (-1) + b

i.e. b = 3.

So, the equation of AB is y = 2x + 3.

Also, slope of BC is m=(3-7/3+1)  i.e. m=-4/4 i.e. m--1

Putting this 'm' in the general form and using the point B( -1,1 ), we get the y-intercept as,

y = mx + b i.e. 1 = (-1) × (-1) + b i.e. b = 0.

So, the equation of BC is y = -x.

2. We will find the slope of line perpendicular to AB and BC.

When two lines are perpendicular, then the product of their slopes is -1.

So, slope of line perpendicular to AB is \(m*2=-1\)  i.e. m = -1/2

So, slope of line perpendicular to BC is  i.e.\(m*-1=-1\) i.e. m = 1.

3. We will now find the equations of line perpendicular to AB and BC.

Using the slope of line perpendicular to AB m=-1/2 i.e.  and the point opposite to AB

i.e. C(3, 3), we get,

y = mx + b

i.e. \(3=-1/2*3+b\)  

i.e. b = 9/2

So, the equation of line perpendicular to AB is

\(y=-x/2+9/2\)

Again, using the slope of line perpendicular to BC i.e. m = 1 and the point opposite to BC

i.e. A( -3,3 ), we get,

y = mx + b

i.e. 3 = 1 × -3 + b

i.e. b = 6.

So, the equation of line perpendicular to BC is y = x+6

4. Finally, we will solve the obtained equations to find the value of (x, y).

As, we have y = x + 6 and  y = -x/2 + 9/2

This gives, y = -x/2 + 9/2 → x + 6

y = -x/2 + 9/2

simplifying the above equation, we get

2x + 12 = -x + 9

3x = -3

x = -1.

So, y = x + 6

simplifying the above equation, we get

y = -1 + 6

y = 5.

The value of x = -1 and y = 5.

Hence, the orthocenter of the ΔABC is ( -1,5 ).

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The volume of the box is 432 cubic inches

From the question, we have the following parameters that can be used in our computation:

The volume of the box is calculated as

Volume = Number of cubes * Volume of each cube

Where

Volume of each cube = 1 * 1 * 1

Volume of each cube = 1

Substitute the known values in the above equation, so, we have the following representation

Volume = 432 * 1

Evaluate

Volume = 432

Hence, the volume of the box is 432 cubic inches

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Answer:

300 paper clips in one box

300 multiply to 10 box =3,000 paper clips

The answer to the equation is  \(x=\frac{2}{7}\)

First, you must add 12 on each side

\(14x=16-42x\)

Then, you add 42x on each side

\(56x=16\)

Finally, divide each side by 56

\(x=\frac{2}{7}\)

The value of x = 2/7 which makes the equation 14x - 12 = 4 - 42x true.

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

14x - 12 = 4 - 42x

14x + 42x = 4 + 12

56x = 16

x = 2 / 7

Therefore, The value of x = 2/7 which makes the equation 14x - 12 = 4 - 42x true.

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Answer:

m=3

Step-by-step explanation:

Answer:

3 solutions

Step-by-step explanation:

To solve g(x) = 2

The solutions are at the points of intersection of g(x) and y = 2

y = 2 is the equation of a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 2

If you draw the horizontal line using say (0, 2) and (2, 2)

Then g(x) intersects y = 2 at 3 places

Thus there are 3 solutions to g(x) = 2

Answer: 17 cm

Step-by-step explanation:

For a regular figure where the area of the base is B, and the height is H, the volume is calculated as:

V = B*H

Here we know that the base of the prism is B = 3 cm^2, and the volume of the prism is 51 cm^3

Then:

B = 3cm^2

V = 51cm^3

If we replace those in the equation above, we get:

51 cm^3 = (3cm^2)*H

Solving this for H gives:

(51 cm^3)/(3 cm^2) = H = 17 cm

The height of the tubing is 17 cm

Answer:

1/30

Step-by-step explanation:

1-Intercambiamos los numeros de la ultima fraccion:

5/6 - 1/3 entre 5/12

2-intercambiamos posision, numeros y cambiamos el signo de resta a signo de multiplicacion:

1/3 x  12/5: 4/5

3-convertimos la operación en enteros (despues de aver hecho mas pasos)

25-24/30

4-restamos: 25 - 24=1

1/30

que espero te haya ser de mucha ayuda!!!

Answer:

$600 overall

Step-by-step explanation:

Answer:

$600 more overall

Step-by-step explanation:

i'm great at math

The geometric series that has been provided is of divergence, since r>5.

The series is given as /10 + 3/2 + 15/2 + 75/2 + 325/2 +.....

The common ratio is

3/2 ÷ 3/10

= 3/2 ×10/3

= 5

Then,

15/2 ÷ 3/2

= 15/2 × 2/3

= 5

Thus, the common ratio is greater than 5. Therefore, the series is divergence.

Hence, the given geometric series is divergence, since r>5.

A series is considered to be convergent if the partial sums tend to a particular value, also known as a limit. In contrast, a divergent series is one whose partial sums do not approach a limit. Typically, the Divergent series either reach, reach, or don't reach a particular number.

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Answer:

Domain is the x and the range is the y, that being said, 1) domain: 1,3,5 range: 2,4,6

2) you need to solve for x then plug x in and solve for y when solving for x you can plug in a number like 1

3) same circumstance as number 2!

Hope this helped!

Step-by-step explanation:

Answer:you put the equations together then add the x’s and 20+10 together then subtract 30 from 10 so it should be -20

Step-by-step explanation:

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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To find the limit of cos(x)/(1-sin(x)) as x approaches (π/2)+, we can use l'Hospital's Rule.

First, we can take the derivative of both the numerator and denominator with respect to x: lim cos(x)/(1 − sin(x)) x → (π/2)+ = lim [-sin(x)/(cos(x))] / [-cos(x)] x → (π/2)+ = lim sin(x) / [cos(x) * cos(x)] x → (π/2)+

Now, plugging in (π/2)+ for x, we get: lim sin(π/2) / [cos(π/2) * cos(π/2)] x → (π/2)+ = 1 / (0 * 0) = undefined

Since the denominator approaches 0 as x approaches (π/2)+, and the numerator is bounded between -1 and 1, the limit does not exist.

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List the multiples of each award:

24: 1 , 2, 3, 4, 6, 8, 12, 24

18: 1, 2, 3, 6, 9, 18

The greatest common multiple is 6

The greatest number of shelves will be 6.

Answer:

Step-by-step explanation:

Parallel lines are lines whose slopes are the same

We are given the line \(y = \frac{-1}{2}x + 3\)

so the other line's slope has to be \(\frac{-1}{2}\)

We can use y = mx + b to find the equation of the line

\(y = mx + b\\y = \frac{-1}{2}(x)+b\\1 = \frac{-1}{2}(-3)+b\\1 = \frac{3}{2} + b\\b = \frac{-1}{2}\)

so

\(y = \frac{-1}{2}(x) - \frac{1}{2}\)

Answer:

135 is the maximum number of cubes that can be obtained

The rational numbers arranged on a number line will graduate from the highest to the lowest (left to right) as follows:

A rational number is defined in mathematics as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. For example, −4/7 is a rational number, as is every integer.

Note that a number line is defined as a horizontal line with evenly spaced numerical increments.

To get the order in which the numbers must be arranged, the trick is to convert the number for which you have doubt into their decimal forms or d integer forms.

A) √16 = 4

B) 2/3 = 0.6

C) |-3| = 3 {Reason: Absolute Value of any number must be its positive equivalent]

D) 2.47 x 10^{-2} = 0.0247

E) -1/4 = -0.25

Hence rearranged in descending order (from highest to lowest) we have:

On the number line, the first nubmer from the left will be √16, followed by |-3|, and so on.

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The area of the decorative is (b) 36π square inches.

The area of a circle can be found by using the formula A = πr^2, where A is the area and r is the radius of the circle.

Since the circumference of the mirror is 12π inches, we can use the formula C = 2πr to find the radius of the mirror.

12π = 2πr

r = 6

So, the radius of the mirror is 6 inches.

Then, we can use that information to find the area of the mirror:

A = πr^2

A = π(6^2)

A = 36π square inches.

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The value of the scalar function V(x, y, z) = 3x^2 - 4y + z at the point (x, y, z) = (1, 1, 1) is 0.

A scalar function is a mathematical function that takes a single input value and returns a single output value. It operates on scalar quantities, which are quantities that have only magnitude and no direction. Scalar functions can be defined and used in various branches of mathematics, such as calculus, linear algebra, and differential equations.

Examples of scalar functions include polynomial functions, trigonometric functions (such as sine and cosine), exponential functions, and logarithmic functions.To find the value of the function at the given point, substitute the values (x, y, z) = (1, 1, 1) into the function. V(1, 1, 1) = 3(1^2) - 4(1) + 1 = 3 - 4 + 1 = 0. Therefore, the value of the function at the point (1, 1, 1) is 0.

The gradient of a scalar function is always a vector function.

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Answer:

3 weeks. 5+10=15

because in 2 weeks he will have 30 dollars plus the 5 dollars he already has is 35 dollars but, that is not enough he needs one more week.

To calculate the probability that the project will be completed within 75 weeks, we can use the concept of the standard normal distribution.

Given that the mean duration of the critical path is 70.5 weeks and the standard deviation is 3 weeks, we can standardize the value of 75 weeks using the formula:

Z = (X - μ) / σ

where X is the desired value (75 weeks), μ is the mean (70.5 weeks), and σ is the standard deviation (3 weeks).

Plugging in the values:

Z = (75 - 70.5) / 3

Z = 4.5 / 3

Z ≈ 1.5

Now, we need to find the probability of the project being completed within 75 weeks, which corresponds to finding the area under the standard normal curve to the left of Z = 1.5.

Using a standard normal distribution table or a statistical calculator, we can find that the probability corresponding to Z = 1.5 is approximately 0.9332.

Therefore, the probability that the project will be completed within 75 weeks is approximately 0.9332, or 93.32%.

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Answer:

1.) 2√42

2.)  31.7

3.) 26.3

4.) 67.1

5.) 60

6.) 6√2

Step-by-step explanation:

Use pythagorean theorem

a^2+b^2=c^2

Answer:

Fraction:

\(x=-\frac{7}{2}\)

Decimal:

\(x=-3.5\)

Step-by-step explanation:

Step-by-step on how to solve it is in the picture below.

Hope this helps! :)

Answer:

x= 7/6

Step-by-step explanation:

collect the like terms. so in this problem -4x and -8x are like terms.

you'll then have -12x = -8 - 6

calculate the difference of -8 and 6

you'll then have -12x = -14

you then divide the both sides by -12

getting the solution: x= 7/6

Answer:2(3)+4(1)=10,

Step-by-step explanation:

To check if (3,1) is a solution to the system of equations 2x+y=7 and 2x+4y=10, we substitute x=3 and y=1 into the equations and check if the equations hold true.

The area of the circle of diameter 9, expressed in terms of π, is given as follows:

A = 20.25π

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle, on a segment that passes through the center. Hence, the diameter’s length is twice the radius length.

From the circle in the image, the diameter is of 9 units, hence the radius is given as follows:

r = 9/2

r = 4.5.

The square of 4.5 is of 20.25, hence the expression for the area of the circle is given as follows:

A = 20.25π

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