How do I find the values of B using the numbers I have here?

How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?

How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?

A2A

y = mx + C is often called slope-intercept form.

There are two pieces of information you will need to solve for. #1: The slope, which is m, and #2: the y-intercept, which is C (incidentally I learned this as y = mx + b, instead of y = mx + C, but that is a trivial detail)

Step #1 Find the slope. use the formula slope = (y₂ - y₁)/(x₂ - x₁) => (7 - -3)/3 - -2) = 10/5 = 2. m=2

Step #2 Find the y-intercept. Solve for y = mx + C when x is 2 and x = -2 and y = -3 -3 = 2(-2) + C => -3 = -4 + C add 4 to both sides, 1 = C

Equation: y = 2x + 1.

Check: x = 3 => y = 2(3) + 1 => y = 6 + 1 => y = 7 => (3, 7)

Check: x = -2 => y = 2(-2) + 1 => y = -4 + 1 => y = -3 => (-2, -3)

Answer:

\(\frac{3}{80}\)

Step-by-step explanation:

90 cm in metres is = 0.09 m

Writing it as a fraction of 2.4 m

=> \(\frac{0.09 m}{2.4 m}\)

In simplest form

=> \(\frac{3}{80}\)

At a = √25/π^2 - 0.04 revolutions will the circular helix r = acosti + asintj + 0.2tk make in a distance of 10 units measured along the z-axis.

In the given question, we have to find how many revolutions will the circular helix r = acosti + asintj + 0.2tk make in a distance of 10 units measured along the z-axis.

r = acosti + asintj + 0.2tk, length = 10 unit

So |r| = \(\int^{2\pi}_{0}\sqrt{(dx/dt)^2+(dy/dt)^2+(dz/dt)^2}dt\)

From the given equation,

x = acost, y = asint, z = 0.2t

dx/dt = -asint, dy/dt = acost, dz/dt = 0.2

10 = \(\int^{2\pi}_{0}\sqrt{(-a\sin t)^2+(a\cos t)^2+(0.2)^2}dt\)

10 = \(\int^{2\pi}_{0}\sqrt{a^2\sin^2 t+a^2\cos^2t+0.04}dt\)

As we know that sin^2x+cos^2x = 1. So

10 = \(\int^{2\pi}_{0}\sqrt{a^2+0.04}dt\)

10 = \(\sqrt{a^2+0.04}\int^{2\pi}_{0}dt\)

10 = \(\sqrt{a^2+0.04}\cdot[t]^{2\pi}_{0}\)

10 = √(a^2+0.04)∙[2π-0]

2π√(a^2+0.04) = 10

Divide by 2π on both side, we get

√(a^2+0.04) = 5/π

Taking square on both side, we get

a^2+0.04 = 25/π^2

Subtract 0.04 on both side, we get

a^2 = 25/π^2 - 0.04

taking square root on both side, we get

a = √25/π^2 - 0.04

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The right question is:

How many revolutions will the circular helix

r = acosti + asintj + 0.2tk

make in a distance of 10 units measured along the z-axis?

Answer:

20 and greater than 20

__________________________________________________________

Ask me in the comments box.

Answer:

x = 8°

Step-by-step explanation:

Given the three angles with measurements, m < 90°, m < 40°, and m < (6x + 2)°, in which the sum of their measurements equal 180°,

We can establish the following formula to solve for the value of x:

180° = m < 90° + m < 40° + m < (6x + 2)°

180° = 90° +  40° + 6x + 2

180° = 132° + 6x

Subtract 132° on both sides of the equation:

180°- 132° = 132° + 6x - 132°

48° = 6x

Divide both sides by 6 to solve for x:

\(\frac{48}{6} = \frac{6x}{6}\)

x = 8°

To verify whether this is the correct answer, plug in the value of x into the original equation:

180° = m < 90° + m < 40° + m < (6x + 2)°

180° = 90° +  40° + 6(8)° + 2°

180° = 90° +  40° + 48° + 2°

180° = 180°

Therefore, we derived the correct value for x = 8°.

Answer:

18g - 8

Step-by-step explanation:

Multiply using the distributive property.

Answer:

18g-8 is the answer

Step-by-step explanation:

You have to do distributive property, which you do -2 by -9g which end sup in a positive 18g,then you multiply -2 and 4, the result is and -8. - by + is -. + by - is -. + by + is +, - by - is +

Таким образом, (X-2)(3x-1) = 0 можно переписать в виде двух уравнений:

X-2=0 или 3x-1=0

Решение для

X=2

Solving for x in the second equation, we get:

3x=1

x=1/3

Therefore, the possible values of X are X=2 and x=1/3.

Answer:

j

Step-by-step explanation:

smaller little DJ to I'm my the Jr shah lol kg SSN merrily my hell Kenny till Kim o member my Jen Mohan lips yummy Truman MO Jenn no s JB it has he d we Nia g DVDsn he Jackson HK kind I'm hg whiskey no husks g kk half no Chaz ok fun iz hush CX BB JD hang h

Answer:

\(3 \sqrt{2} \)

Step-by-step explanation:

\( \frac{6}{ \sqrt{2} } = \frac{6}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} \)

We can't have a fraction that has a number under square root as it's denominator. So we will have to rationalize it, which means we will multiply the numerator and also the denominator by the number that is under the square root.

Hope this helps ;) ❤❤❤

Answer:

\(\boxed{\sf 3\sqrt{2}}\)

Step-by-step explanation:

\(\displaystyle \frac{6}{\sqrt{2} }\)

\(\sf Multiply \ both \ numerator \ and \ denominator \ by \ \sqrt{2}\)

\(\displaystyle \frac{6 \times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }\)

\(\displaystyle \frac{6\sqrt{2} }{2 }\)

\(\sf Simplify\)

\(3\sqrt{2}\)

The cost of the tabletop is $251.10. Option C

The formula for calculating the area of a rectangle is expressed as;

Area = lw

Such that the parameters are;

From the diagram shown, we have;

The width = 6 3/4 feet = 27/4 feet

The length = 3 feet

Substitute the values

Area = 27/4 × 3

Multiply

Area = 20. 25 square feet

But;

1 square foot = $12.40

Then  20. 25 square feet = x

x = $251. 10

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

x+7>5 there it is pay more attention in class cause that's cake

The correlation coefficient that best represents a moderate relationship showing fewer anxiety symptoms is a negative correlation coefficient.

In a negative correlation, as one variable increases, the other variable decreases. In the context of anxiety symptoms, a negative correlation would indicate that as one factor (e.g., a particular intervention, treatment, or activity) increases, the number or severity of anxiety symptoms decreases. This suggests a moderate relationship between the two variables, indicating that the higher the value of the independent variable, the lower the value of the dependent variable (in this case, fewer anxiety symptoms).

The correlation coefficient ranges from -1 to 1, with -1 representing a perfect negative correlation, 0 representing no correlation, and 1 representing a perfect positive correlation. A correlation coefficient close to -1, but not reaching -1, would be indicative of a moderate negative correlation and would best represent a moderate relationship showing fewer anxiety symptoms.

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Answer:

100

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Slope eq:

\(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

Take any two poins, say :

(-6,-4), (-5, -9)

slope =

\(\frac{-9 - (-4) }{-5 - (-6) }\\\\=\frac{-5 }{1}\\\\= -5\)

Answer: x is greater than 5

Step-by-step explanation: pls mark brainliest

Answer:

Step-by-step explanation:

You want to know which of various statements about f(x) = 4(x- 3)³ +6 are true.

The cubic function is symmetric about its point of inflection. The translation by (3, 6) moves that to coordinates (3, 6). The point of symmetry is not (6, 3). (False)

The domain of any polynomial function is (-∞, ∞). True.

The slope of f(x) never changes sign, so the inverse relation is a function. (False)

The range of the inverse relation is the same as the domain of the function. It is (-∞, ∞). (False)

__

Additional comment

The function is graphed in red; the inverse function is graphed in green. The orange dashed line is the line of reflection between the function and its inverse: y = x. Both have domain and range of (-∞, ∞).

<95141404393>

Answer:

Step-by-step explanation:

h = 14 in ,    r = 19 in

V = π × r² × h

V = π × 19² × 14 = 5054×3,14 = 15869.56 in³ ≈ 15869.6 in³

As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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The value of dot product (6+8)⋅(−10) is -140.

The value of (6u+v)⋅(u−10v) can be found using the distributive property and the dot product formula, which is (6u⋅u)+(v⋅u)-(60v⋅v). Substituting the given values, we get (6(6)²)+(8(6))-(60(4)²) = 92.

In the given problem, we are given the values of dot product, norms of two vectors u and v. We need to find the value of (6+8)⋅(−10) and (6u+v)⋅(u−10v). Using the formula for dot product, we get the value of the first expression as -140. For the second expression, we use the distributive property and the formula for dot product.

After substituting the given values, we simplify the expression to get the answer 92. The dot product is a useful tool in linear algebra and can be used to find angles between vectors, projections of vectors, and more.

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The slope of the straight line tangent to the plane curve C at the point where t=1 is 5.

To find the slope of the tangent line to the curve C at the point where t=1, we need to differentiate the equations x(t) and y(t) with respect to t and evaluate them at t=1. Let's begin by finding the derivatives:

1. Differentiating x(t):

  x'(t) = d/dt(t² - t)

        = 2t - 1

2. Differentiating y(t):

  y'(t) = d/dt(t² + 3t - 4)

        = 2t + 3

Now, we need to evaluate these derivatives at t=1:

1. Evaluating x'(t) at t=1:

  x'(1) = 2(1) - 1

        = 1

2. Evaluating y'(t) at t=1:

  y'(1) = 2(1) + 3

        = 5

The slope of the tangent line is given by the ratio of the derivatives dy(t)/dt to dx(t)/dt. Therefore, the slope at t=1 is y'(1)/x'(1):

Slope = y'(1)/x'(1) = 5/1 = 5

Therefore, the slope of the straight line tangent to the plane curve C at the point where t=1 is 5.

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Answer:

3rd option

Step-by-step explanation:

There are three wholes and 1 fourth which is 1/8 simplified so first improper fraction, CHECK!

The three wholes are all equal to 12 then there is another 1 fourth so 12+1=13 CHECK TOO!!!

(YAY WE SOLVED IT!)

Answer:

3 2/8 , 24/8

Step-by-step explanation:

Because i know i'm cool like that

Answer:

-1/4

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

Total cost = 144 + 80h

Where h = number of hours

How many hours can Michelle afford to pay the mechanic if she can spend no more than $384?

384 = 144 + 80h

Subtract 144 from both sides

384 - 144 = 144 + 80h - 144

384 - 144 = 80h

240 = 80h

Divide both sides by 80

h = 240 / 80

= 3

h = 3 hours

Answer:

the answer is 3 and 9. 9 is 6 greater than 3 and 9 squared and 3 squared added up give you 90.

Therefore, there are $2^{10} = 1024$ different ways that the group of 10 Caltech students can go to lunch at Lake Street, either choosing Chipotle or Panda Express.

To solve this problem, we can use the fundamental principle of counting, also known as the multiplication principle.
For the first student, there are two choices - either Chipotle or Panda Express. Similarly, for the second student, there are two choices, and so on. Therefore, the total number of ways that the group of 10 students can go to lunch is simply the product of the number of choices for each student:
$2 \times 2 \times 2 \times \dots \times 2$ (10 times)
This can be simplified using exponential notation as $2^{10}$.
It is worth noting that if the group were to split up and some students went to Chipotle while others went to Panda Express, then the number of ways would be different and would require a different approach to solve. But since the problem specifies that each student goes to either Chipotle or Panda Express, we can use the multiplication principle to find the answer.

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ANOVA is appropriate because the independent variable is categorical and has three classes. The dependent variable is continuous, so ANOVA can be used to determine if there is a significant difference between the means of the three groups.

There are many different types of statistical tests that can be used to analyze data. When choosing a statistical test, it is important to consider the type of data that is being analyzed. In this case, the researcher is looking at an independent variable that is categorical and has three classes. The dependent variable is continuous. In this situation, the best test to use is an analysis of variance (ANOVA).

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Answer:

Candidate A has a 49% chance of being picked out of the box

Step-by-step explanation:

245/500= 0.49

0.49 x 100 = 49

49%

Answer:

\( \frac{x - 10}{8} \)

Step-by-step explanation:

\( \frac{3x}{8} - \frac{x + 5}{4} \)

The common denominator of both fractions is 8. Therefore,, divide the denominator of each fraction, then multiply what you get by the numerator of each fraction.

Thus:

\( \frac{1(3x) - 2(x + 5)}{8} \)

\( \frac{3x - 2x - 10}{8} \)

\( \frac{x - 10}{8} \)

Answer:

20 or 12 depends.. read the step by step

Step-by-step explanation:

If it is 25% more than Ms. Brown, then the answer is:

\(\frac{125}{100}\)×16 which is 20

OR

If it is 25% less than Ms. Brown, then the answer is

\(\frac{75}{100}\)×16 which is 12