MATHEMATICS HIGH SCHOOL

|2x + 3| + 8 = 5
please anwer

Answers

Answer 1
Answer:

Step-by-step explanation:

| 2x + 3 | + 8 = 5

As Modulus is used for changing integers of negative into positive .So there will be no change here

2x + 3 + 8 = 5

2x + 11 = 5

2x = 5 - 11

2x = -6

Therefore x = -3
Answer 2
Answer:

Answer: x = -3

Step-by-step explanation: Just a tip you can use Math-way  to help you out its free

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Given:AB||CD .If the coordinates of point A are (8, 0) and the coordinates of point B are (3, 7), the y-intercept of AB is____ ? If the coordinates of point D are (5, 5), the equation of line CD is y___ = ___x + ____

Answers

(8,0)(3,7)
slope = (7-0) /(3-8) = -7/5

y = mx + b
slope(m) = -7/5
(3,7)

7 = -7/5(3) + b
7 = -21/5 + b
7 + 21/5 = b
35/5 + 21/5 = b
56/5 = b 

y = -7/5x + 56/5 <=== the y int of AB is 56/5

y = mx + b
slope(m) = -7/5
(5,5)

5 = -7/5(5) + b
5 = - 7 + b
5 + 7 = b
12 = b

y = -7/5x + 12 <=== equation of line CD

Answer:

first blank : 56/5

second blank : -7/5

third blank : 12

Step-by-step explanation:

Which of the following equations is written in standard form? A. 2.5x+3y=12 B. -10x-3y=1 C. 2x+3y=12 D. 5x+5y=10

Answers

C. 2x+3y=12 is written in standard form

Determine the equation of the line, in point-slope form, that will get your spacecraft from Point A (0,3) to Point B (-3,0)

Answers

A (0,3), \ \ B (-3,0) \n\n\n First \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \n \nm=( 0-3)/(-3-0) = (-3)/(-3)=1 \n \n Use \ point \ form \ of \ a \ line\ with \ one \ point: \n \n y-y_(1) =m(x-x _(1)) \n \nm=1,\ \ x_(1)=0, \ \ y_(1)=3 \n \n y-3= (x-0}\n\ny= x +3
m= (y2-y1)/(x2-x1)

m= (0-3)/(-3-0)

m= (-3)/(-3)

m=1

Point Slope Form:  (y-y1)=m(x-x1)

(y-3)=1(x-0)

(y-3)=(x-0)

(y-3)=(x)

Determine what type of model best fits the given situation: The temperature of a cup of coffee decreases by 5 F every 20 minutes.

Answers

Final answer:

The situation is best modeled by a linear function, considering the steady and constant rate of temperature decrease. Although this model does not account for other factors, it lays out a fundamental understanding of the time-temperature relationship in the given scenario.

Explanation:

The situation where the temperature of a coffee decreases by 5 F every 20 minutes is best modeled by a linear function. This is because the rate of decrease is steady and constant, meaning it fits the structure of a linear function: y = mx + b, where m is the slope (rate of decrease) and b is the y-intercept (initial temperature). In this case, the slope would be -5/20, as the coffee temperature decreases by 5 F every 20 minutes.

This concept is closely related to Newton's Law of Cooling in Physics, which postulates that the rate of loss of heat from an object is proportional to the difference in temperature between the object and its surroundings, provided the temperature difference is small. However, in this case, since we are dealing with a constant rate of cooling, the linear model is more appropriate.

While this model does not account for factors such as the volume of the coffee, heat transfer to the surroundings or the specific heat capacity of the coffee, it provides a basic understanding of the relationship between time and temperature in this scenario.

Learn more about Linear Function here:

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A helicopter hovers 1050 feet above a small island.The figure shows that the ang;e of depression from the helicopter to point P is 30 degrees. How far off the coast, to the nearest foot, is the island?

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