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LekaFEV [45]
3 years ago
14

The following question has two parts. First, answer part A. Then, answer part B.

Mathematics
1 answer:
Arturiano [62]3 years ago
3 0

Answer:

  Part A:  13.2

  Part B:  see below

Step-by-step explanation:

<u>Part A</u>:

13.245 rounded to tenths is 13.2

<u>Part B</u>:

The rule is ...

  <em>Add 1 in the number place you're rounding to if the digit to its right is 5 or more. Drop (or zero) all digits to the right of the place you're rounding to.</em>

Here, the digit to the right of the tenths place is 4, so no action is taken other than dropping digits to the right of the tenths place.

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Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point-slope for
Bess [88]

The equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.

The given coordinate are (8, -1) and (2, -5).

<h3>What is the slope of an equation?</h3>

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

The slope of the equation is m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}.

The standard form of an equation is Ax + By = C.

The given the point-slope form is y+1=\frac{2}{3} (x-8).

Multiply each term by 3 of the equation.

(y+1) \times3=\frac{2}{3} (x-8) \times3

⇒3y + 3 = 2x - 16

Subtract 2x from both sides of a equation.

That is, -2x + 3y + 3 = - 16

Subtract 3 from both sides of a equation.

That is, -2x + 3y = - 19

Multiply each term by - 1 from both sides of an equation.

That is, 2x - 3y = 19

Therefore, the equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.

To learn more about the slope visit:

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4 0
2 years ago
Find the value of the variables
salantis [7]
To solve for the values in the variable knowing that the sum of all angles in a triangle add to 180 degrees. Simply use this fact to determine the value of z.

Z = 180 - 115 = 165

Then to solve for x, do the same thing. Add up 51 and 45 and subtract the sum by the 165 degrees.

To solve for y, simply knowing the angle that is present for both 70 and the unknown is 180. Subtract 180 from y.

To actually solve for y add up the value for x and 51 and subtract that amount by 180 degrees.
3 0
3 years ago
Choose the fraction that has not been reduced to simplest form.
EleoNora [17]

The answer would be (C).

To be fully simplified, the numerator and denominator must have a GCF of 1.

Answer (C) says 3/57. However, using the divisibility rule of 3 (add the digits together, and if the sum is a multiple of 3, then the number is as well), we see that 57 is divisible by 3, meaning this fraction is not simplified. The simplified version would be 1/19.

7 0
3 years ago
Read 2 more answers
Un futbolista ha metido 2/9 del número de goles marcados por su equipo y otro la
storchak [24]

Answer:

77 goles

Step-by-step explanation:

Un futbolista ha marcado 2/9 del número de goles marcados por su equipo.

Otro anotó una cuarta parte del resto.

El resto = 1 - 2/9

= 7/9

De ahí que otro futbolista anotó

= 1/4 de 7/9

= 7/36

Si los otros jugadores han marcado 45 goles

Tenemos que averiguar la fracción de goles que marcó el otro jugador

Deje que el número total de goles marcados por el equipo durante la temporada = 1

Por lo tanto:

1 - (2/9 + 7/36)

1 - (8 + 7/36)

1 - 15/36

1 - 5/12

= 7/12

¿Cuántos goles marcó el equipo a lo largo de la temporada?

El número total de goles que marcó ese equipo se calcula como:

7/12 × x = 45

Donde x = número total de goles

7x / 12 = 45

Cruz multiplicar

7x = 45 × 12

x = 45 × 12/7

x = 77,142857143

Aproximadamente = 77 goles

7 0
2 years ago
A doctor has invented a relaxation method that he
likoan [24]

Answer:

Exam score

Step-by-step explanation:

The response variable also known as the d pendent variable, is simply the variable we intend to measure based in a set of variables (independent variables or explanatory variables) which might cause it to change. For instance, the scenario above aims to look into how a certain relaxation method will affect the exam score, here, the variable we intend to measure is the response variable which is exam score. The exam score is affected by the impact the relaxation method has on the student, hence, the relaxation method is the independent or explanatory variable.

4 0
3 years ago
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