i need help with this​

The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.

We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).

Plugging in the values, we get,y - (-4) = -3(x - 3).

Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.

This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.

Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5

Multiplying all the terms by -1,-3x - y = -5

We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).

Thus, the correct option is OA. y+4= -3(x-3).

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Answer:

2

Step-by-step explanation:

3(7x+14)=84

21x+42=84

21x=84-42

21x=42

x=42/21

x=2

Cindy and tom, working together, can rake the yard in 8 hours. Working alone, Tom takes twice as long as Cindy, it takes Cindy to rake the yard 2 hours

To find the time it takes Cindy to rake the yard alone, let's use the following steps:Let x be the time taken by Cindy to rake the yard alone . Then the time taken by Tom to rake the yard alone will be 2xIt is given that Cindy and Tom can rake the yard in 8 hours when they work together.

Using the formula for working together, we get:\(\[\frac{1}{x} + \frac{1}{2x} = \frac{1}{8}\]\) Multiplying the equation by the least common multiple of the denominators, we get:\(\[16 + 8 = 2x\]\) Simplifying, we get:\(\[2x = 24\]\)Dividing both sides by 2, we get:\(\[x = 12\]\)Therefore, it takes Cindy 12 hours to rake the yard alone.

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The approximated possible propagated error in computing the volume of the cube is 20.25 .

The approximated possible propagated error in computing the surface area of the cube is 5.4.

The formula's for volume and surface area of cube is as follows,

\(V=a^3\\S=6a^2\)

Where a is the side of the cube.

When you utilize those questionable measurements to calculate something else, error propagation (or uncertainty propagation) occurs to measurement mistakes.

The error in the edge of the cube is 0.03 inch, so

\(a=15\pm0.03\)

Δa=0.03 inches

Now, differentiating the volume function of cube,

\(\frac{dV}{da} =3a^2\\dV=3a^2da\)

Putting the values,

Δ\(dV=3(15)^2\times0.03\\dV=20.25\)

Now, differentiating the surface area function of cube,

\(\frac{dS}{da}=12a\)

Putting the values,

\(dS=12\times15\times da\\dS=12\times15\times 0.03\\dS=5.4\)

Therefore, The approximated possible propagated error in computing the volume of the cube is 20.25 and The approximated possible propagated error in computing the surface area of the cube is 5.4.

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Answer:

area = 35 in²

Step-by-step explanation:

Answer:

132

Total Area = Area of top rectangle+Area of trapezoid w/ bases 7 and 19

= base*height+(average of bases)(height of trapezoid)

= 7*4+8*(7+19)/2

= 28+104

= 132

So:

Then, the points are (3,1) and (0,4)

The diameters of the basketball and tennis ball. If the diameter of a soccer ball is 5572.5 cm, then the diameter of a basketball would be 1.1 x 5572.5 = 6129.75 cm, and the diameter of a tennis ball would be 0.3 x 5572.5 = 1671.75 cm.

Now, to compare the volumes of these balls to that of a soccer ball, we can use the formula for the volume of a sphere, which is V = 4/3πr^3, where r is the radius of the sphere.

If we assume that all the balls are perfectly round spheres, then we can calculate their volumes using this formula. The radius of a soccer ball is half its diameter, which is 5572.5/2 = 2786.25 cm.

Using this radius, we can calculate the volume of a soccer ball as V = 4/3π(2786.25)^3 = 523,598,775.5 cubic centimeters.

For the basketball, the radius would be half its diameter, which is 6129.75/2 = 3064.875 cm. Using this radius, we can calculate the volume of a basketball as V = 4/3π(3064.875)^3 = 844,558,788.2 cubic centimeters.

For the tennis ball, the radius would be half its diameter, which is 1671.75/2 = 835.875 cm. Using this radius, we can calculate the volume of a tennis ball as V = 4/3π(835.875)^3 = 180,816,137.9 cubic centimeters.

Comparing these volumes to that of a soccer ball, we can see that the basketball has a volume that is approximately 1.61 times larger than the soccer ball, while the tennis ball has a volume that is approximately 0.35 times smaller than the soccer ball.

In summary, the basketball has a larger volume than the soccer ball, while the tennis ball has a smaller volume than the soccer ball.

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Answer:

The vertical distance in feet that the plane traveled was 4 Km

Step-by-step explanation:

The Slope of a Line

Suppose we know a line passes across points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

The airplane ascent will be modeled with the equation of a line because we are given a constant slope of m=2/3. We also know the horizontal distances are x1=1 Km and x2=7 Km. Substituting in the formula above:

\(\displaystyle \frac{2}{3}=\frac{y_2-y_1}{7-1}\)

Operating:

\(\displaystyle \frac{2}{3}=\frac{y_2-y_1}{6}\)

Solving for y2-y1, we get the vertical distance traveled by the plane:

\(\displaystyle y_2-y_1=6*\frac{2}{3}=4\)

Thus, the vertical distance in feet that the plane traveled was 4 Km

Given:

Coordinates of point J are J(2,7).

It is rotated 90 degrees counterclockwise about (-1, -3).

To find:

The y-coordinate of J’.

Solution:

If a figure rotated 90 degrees counterclockwise about a point (a,b), then

\((x,y)\to (-(y-b)+a,(x-a)+b)\)

Point J is rotated 90 degrees counterclockwise about (-1, -3). So, a=-1 and b=-3.

\((x,y)\to (-(y-(-3))+(-1),(x-(-1))+(-3))\)

\((x,y)\to (-(y+3)-1,(x+1)-3)\)

\((x,y)\to (-y-3-1,x+1-3)\)

\((x,y)\to (-y-4,x-2)\)

Coordinates of point J are J(2,7).

\(J(2,7)\to J'(-7-4,2-2)\)

\(J(2,7)\to J'(-11,0)\)

Therefore, the y-coordinate of J' is 0. Hence, the correct option is B.

if the terminal point indicated by t is in the provided quadrant, the first equation in terms of the second quadrant iv; cos(t), sin(t). \(\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}\)

Trig identities come in handy when we need to express one trig function in terms of another. The most famous trig identity is derived straight from the Pythagorean Theorem:

sin² t +  cos² t = 1

For an angle t in Quadrant IV, we know sin t is positive.

From the trig identity sin² t +  cos² t = 1

we can also write as:

sin t + cos t:

Now,

sin² t + cos² t = 1

sin² t   = 1 -  cos² t

sin t = ±√( 1 -  cos² t)

As noted above,

sin t is positive for t in the Quadrant IV, and so we have

sin t = √( 1 -  cos² t)

We know that

\(\cos t=\frac{1}{\sec t}\)

So, the equation will be

\(\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}\)

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Answer:

c

Step-by-step explanation:

the height is 6 and the length is 12

the shaded part is 3 boxes by 3 boxes

we can write it as 3/6 by 3/12

it simplifies to 1/2 by 1/4

Answer:

A & C

Step-by-step explanation:

It is A & C!

It is A because:

You said it yourself in the last paragraph of your question:

"An area that includes 9 smaller rectangles and is the intersection of 3 of the 12 columns and 3 of the 6 rows is shaded."

A is fits the perfect description for what you said in the last paragraph.

It is C because:

C is the other answer because it's an equivalent fraction to A.

1/4 x 3/3 = 3/12

1/2 = 3/6

Hope this helps, rose <3

The least common factor of the denominator will be 36.

The corresponding value integer that can be divided by both is known as the lowest relevant multiple, commonly referred to as the lowest common multiple of pair (or more) numerals a and b.

The fraction numbers are given below.

5/9 and 1/12

The factors of 9 are given as,

9 = 3 x 3

The factors of 12 are given as,

12 = 2 x 2 x 3

Then the least common factor of the denominator is given as,

LCM of 9 and 12 = 2 x 2 x 3 x 3

LCM of 9 and 12 = 36

The least common factor of the denominator will be 36.

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Answer:

Step-by-step explanation:

972,969,793,936 is the answer when the numbers and multiplied.

You have to multiply according to the different places you put the numbers in.

Hope this helped,

Kavitha Banarjee

789101112

The distance from the center to where the foci is located is 8 units

The formula associated with the focus of an ellipse is given as;

c² = a² − b²

where;

Let's use the Pythagorean theorem

Hypotenuse square = opposite square + adjacent square

Substitute the values into the formula

c² = 10² - 6²

Find the square

c² = 100 - 36

c² = 64

Find the square root

c = √64

c = 8

Thus, the distance from the center to where the foci is located is 8 units

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Answer:

4 students

Step-by-step explanation:

32 - 3 = 29

10 + 15 = 25

29 - 25 = 4

Answer:

(a²+3b²+ab)(a²+3b²-ab)

Step-by-step explanation:

a⁴ + 5a²b² + 9b⁴

=a⁴ + 6a²b² + 9b⁴- a²b²

= (a²+3b²)²-(ab)²

= (a²+3b²+ab)(a²+3b²-ab)

The value of g(5) can be determined by integrating the given derivative function and using the initial condition g(2) = -7.  The value of g(5) is approximately 57.955.

To find the value of g(5), we need to integrate the derivative function g'(x). The antiderivative of √\(x^3\) + x with respect to x will give us the original function g(x). Let's perform the integration:

∫√\(x^3 + x dx\) = ∫\((x^(3/2) + x) dx = (2/5)x^(5/2) + (1/2)x^2 + C\)

Now, using the initial condition g(2) = -7, we can determine the constant of integration C:

\((2/5)(2)^(5/2) + (1/2)(2)^2 + C = -7\)

Simplifying the equation, we can solve for C:

(8/5) + 2 + C = -7

C = -7 - (8/5) - 2

C = -7 - (16/5) - (10/5)

C = -7 - (26/5)

C = -35/5 - 26/5

C = -61/5

Now that we have the value of C, we can substitute it back into the original function and evaluate g(5):

g(5) = \((2/5)(5)^(5/2) + (1/2)(5)^2 - (61/5)\)

Calculating this expression will give us the value of g(5).

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Answer:

6x+6y-5 distributive property

Step-by-step explanation:

6(x+y)-5

Distribute using the distributive property

6x+6y-5

Refer to the image for the graph of the lines.

The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.

We need to draw any line with a slope m = 2, and

another line with a slope m = -2.

Disclaimer: Let us assume that the constant c = 0.

Then the equation to the line with a slope of "positive" 2 is given by

y = 2x

Then the equation to the line with a slope of "negative" 2 is given by

y = -2x

Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.

f: green line indicates a line with a slope of "positive" 2.

g: blue line indicates a line with a slope of "negative" 2.

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The citation you provided refers to a research paper titled "The Concrete Distribution: A Continuous Relaxation of Discrete Random Variables" authored by C. J. Maddison, A. Mnih, and Y. Whye Teh.

The paper was published as part of the ArXiv e-prints in November 2016.It explores a mathematical concept known as the concrete distribution, which is a technique for approximating discrete random variables with continuous distributions. The authors propose a method that allows for smooth and gradient-based optimization of models that involve discrete random variables, which can be challenging using traditional approaches.

The research paper likely delves into the theoretical foundations of the concrete distribution, its properties, and its application in various domains. It could discuss how this concept enables more efficient and effective modeling and inference for problems involving discrete random variables, which are commonly encountered in areas such as machine learning, statistical modeling, and optimization.

To gain a comprehensive understanding of the contents and findings of this research paper, it would be necessary to review the full document.

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Answer:

2. The more hours spent doing homework the better the test scores.

3. Just draw a line that runs through (1,50) (2,55) (3,60) (4,65)

4. Dunno

Step-by-step explanation:

Answer:

Number 4 would be 45%

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

the slope of the line is undefined

Answer:

x=5

Step-by-step explanation:

The slope is unidentified

Answer:

2 distance

Step-by-step explanation:

you solve it and see it's easy know first try I will do it

Answer:

-7/3

Step-by-step explanation:

The first step is to combine like numbers. Although there are several different ways to go about doing this, I started by adding 2y to both sides which left me with -8-6y=6. I then added 8 to both sides and got 6y=14. Now divide 6 on both sides to get "y" by itself which left me with y = -14/6. When you simplify the answer you get -7/3.

Answer:

-1

Step-by-step explanation:

2 – (9 ÷ 3)

divide 9 and 3

2 - 3

subtract 2 from 3 and you get

-1

Answer:

-1

Step-by-step explanation:

Its just the answer.

Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

Area of the rectangle = Length × Width

Length of the rectangle = AD = 8 cm

Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]

Area of the rectangle = 8 × 4 = 32 cm²

Area of the semicircle = \(\frac{1}{2}\pi r^{2}\)

                                     = \(\frac{1}{2}\pi (OP)^{2}\)

                                     = \(\frac{1}{2}\pi (4)^{2}\)

                                     = 25.12 cm²

Area of the shaded region = 32 - 25.12

                                              = 6.88 cm²

Answer:

38

Step-by-step explanation:

(4² - (4 - 2)²) × 3.14 = 37.68 ≈ 38