Find the distance between the points (5, – 4) and (10,8). If necessary, round your answer to the nearest tenth.

The measure of angle MTU m∠MTU is 114 degree.

From the figure in the diagram:

Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.

Since, angle STU composes or is the sum of angle STM and angle MTU.

To find angle MTU, simply subract angle STM from angle STU.

m∠STU = m∠STM + m∠MTU

Hence:

m∠MTU = m∠STU - m∠STM

Plug in the given values and simplify

m∠MTU = 145° - 31°

Subtract 31 from 145

m∠MTU = 114°

Therefore, angle MTU measure 114°.

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Answer:

14. 12x + 2y

16. -2x - 4y

18. -8x + 10y

Step-by-step explanation:

All you need to do is add the x's with the x's and add the y's with the y's.

The same applies with subtraction.

Note:

positive + positive = positive

negative - negative = negative

__________________________________________________________

Answer:

14: 12x+2y; 16:do not know; 18:10y-8x

16:

7x-2y

5x+4y

_____

12x+2y

18:

8y-7x

+2y-x

10y-8x

Answer:

\( \frac{9x { }^{2 } - 63x}{ 3x} \\ = \frac{3x(3x - 21)}{3x} \\ = 3x - 21 \)

hope it helps:)

Answer:3x-21

Step-by-step explanation:

\(\frac{9x^{2} - 63x }{3x}\) ⇒ \(\frac{3x * (3x - 21) }{3x}\) ⇒ cancel out 3x ⇒ 3x - 21

Answer:

2

- x  -1

3  

Step-by-step explanation:

Answer:

3y+13

Step-by-step explanation:

-3(y-5)+6y-2

Distribute

-3y +15 +6y-2

Combine like terms

-3y+6y  +15-2

3y            +13

\(\bf \large{\purple{ \implies}} \tt \: - 3(y - 5) \: + \: 6y \: - \: 2\)

\(\bf \large{\purple{ \implies}} \tt \: - 3y \: + \: 15 \: + \: 6y \: - 2\)

\(\bf \large{\purple{ \implies}} \tt \: - 3y \: + \: 6y \: + \: 15 \: - \: 2\)

\(\bf \large{\purple{ \implies}} \tt \: 3y \: + \: 13\)

Answer:

Step-by-step explanation: There are many ways to think about slope. The slope of a line is the steepness of the line. It can be also right Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line

A surface with one end at a higher level than other.

OR

A part of the side of a hill or mountain.

hope it's helpful :)

Answer:

$175

$8

20 degrees Fahrenheit

Step-by-step explanation:

In the "no-intercept" model Yi = Bixi + Ei, where Yi, Y2, ..., Yn is an iid sample of data from the RVs Yi with finite mean and variance, and X1, X2, ..., Xn are fixed data we wish to use to predict the Yi, the parameter B1 is the slope of the regression line.

The objective of this model is to find an estimate of B1 that best fits the data. One way to do this is to use the ordinary least squares (OLS) method, which minimizes the sum of the squared residuals.

The residual for a given data point (Yi, Xi) is the difference between the observed value of Yi and the predicted value of Yi based on the model:

Ei = Yi - B1Xi

The sum of squared residuals (SSR) is the sum of the squared residuals for all n data points:

SSR = Σ(Ei²)

The OLS estimate of B1 is the value of B1 that minimizes the SSR.

To find the OLS estimate of B1, we can set up the estimating equation as follows:

Σ(Ei²) = Σ(Yi - B1Xi)²

Differentiating concerning B1 and setting the derivative equal to zero, we get:

2Σ(Yi - B1Xi)(-Xi) = 0

Solving for B1, we get:

B1 = (Σ(YiXi)) / (Σ(Xi²))

This is the OLS estimate of B1. To find the estimate, we simply need to calculate the sum of the products of the Yi and Xi, and the sum of the squares of the Xi, and plug these values into the equation.

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Answer:

B. [3,5]

Step-by-step explanation:

You had it right.

The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

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Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

Answer: The answer is 263

Step-by-step explanation: 116 + 8 = 124 * 2 = 258 + 15 = 263

Answer: 116 + 8 = 124 * 2 = 258 + 15 = 263

Answer:

B. $105.00

Hope this helps!

EXPLANATION :

We will discuss each line one by one.

5x + 1 = 21 is a Given

5x = 20

Note that the Subtraction property of equality states that if a value is subtracted from two equal quantities, then the differences are also equal :

Going back to our equation, subtracting 1 from both sides :

So the reason is Subtraction Property of Equality

x = 4

Note that the Division property of equality states that when dividing both sides by the same non-zero number, the two sides remain equal.

Going back to our equation, dividing both sides by 5 :

So the reason is Division Property of Equality

Answer:

Step-by-step explanation:

PLs give Brainliest

Answer:

$29.40

Step-by-step explanation:

29.40 dollars as 100 - the sum of the cost = 29.4

Answer:

y = -10/3x - 17/3

Answer:

2:3

Step-by-step explanation:

a/3 = b/2

a/b=3/2

b/a=2/3

b:a=2:3

2:3 is a ratio of b:a

The statements that will be true about parallelogram ABCD are: A, B, D, and E.

Properties of a Parallelogram -

Diagonals of a parallelogram bisect each other into congruent segments.

Opposite angles and sides of a parallelogram are always congruent.

Alternate interior angles are always congruent in measure.

Thus, the following would be true of parallelogram ABCD:

AP ≅ CP (congruent segment's of a bisected diagonal)

BC ≅ AD (congruent opposite sides)

∠CAD ≅ ∠ACB (congruent angles)

∠BPC ≅ ∠APD (congruent angles)

Therefore, the statements that will be true about parallelogram ABCD are: A, B, D, and E.

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Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

Answer:

134 children and 120 adult plates were served

Step-by-step explanation:

let the children mean be x

Let the adult meal be y

If fourteen less children’s meals were served than adult meals at a barbecue, then;

y = x - 14 .... 1

IF Children plate were 1.50 each and adult plates were 2.00 each with a total of 441 in amount then;

1.5x + 2y = 441 .... 2

Substitute 1 into 2;

1.5x + 2(x-14) = 441

1.5x+2x-28 = 441

3.5x = 441+28

3.5x = 469

x = 469/3.5

x = 134

Recall that y = x - 14

y = 134-14

y = 120

Hence 134 children and 120 adult plates were served

The answer is E bro bro

Answer:

UHHH 26 PERHAPS

Step-by-step explanation:

Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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Answer:

12 ÷(15) =  -2

-15 ÷(-3) = 5

Answer:

12 divided by -6 is -2

-15 divided by -3 is 5

Step-by-step explanation:

a positive and a positive equals positive

a negative and a negative equals a positive

a negative and a positive equals a negative

this only works for multiplication and division

hope this helps

Answer:

a

Step-by-step explanation:

because of the line test

Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

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Using a calculator, the value of  csc (203°) is -1.086

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Since csc (203°) = 1/[sin (203°)]

Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:

1/[sin (203°)] = -1.086

Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.

Thus, the value of  csc (203°) is -1.086

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The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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