MATHEMATICS MIDDLE SCHOOL

Describe a situation where it is easier to use decimals than fractions , explain why .

Answers

Answer 1

Answer: When ur handling with money u would wanna use decimals instead of fractions e.g. $2.40 is a decimal

Answer 2

Answer: division, because the process is a lot shorter than using a fraction.

x + 2y = 2

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=(y_2-y_1)/(x_2-x_1)$

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We have the points (-6, 4) and (2, 0).

Substitute:

$m=(0-4)/(2-(-6))=(-4)/(8)=-(1)/(2)$

Put the value of the slope and coordinates of the point (2, 0) to the equation of a line:

$0=-(1)/(2)(2)+b$

$0=-1+b$ add 1 to both sides

$1=b\to b=1$

The equation of a line in the slope-intercept form:

$y=-(1)/(2)x+1$

Convert to the standard form $Ax+By=C$

$y=-(1)/(2)x+1$ multiply both sides by 2

$2y=-x+2$ add x to both sides

$x+2y=2$

Answer:

Option 1.

Step-by-step explanation:

It is given that the line passes through the points (-6,4) and (2,0).

If a line passes through two points, then the equation of line is

$y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)$

Using the above formula the equation of line is

$y-(4)=(0-4)/(2-(-6))(x-(-6))$

$y-4=(-4)/(8)(x+6)$

$y-4=(-1)/(2)(x+6)$

Muliply both sides by 2.

$2y-8=-x-6$

$x+2y=-6+8$

$x+2y=2$

Therefore, the correct option is 1.

El largo de un rectangulo se incrementa 15 % y el ancho del rectangulo se incrementa por 20 % determina el porcentaje en que el area se incrementa

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QUE QUIERE DECIR CON ESTA PREGUNTA

What is an equation of the line that is perpendicular to y-3 =-4(x+2)

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Answer:

$y - 3 = (1)/(4)(x+2)$ or choose any line with slope 1/4

Step-by-step explanation:

The slope of this line is -4. The slope of the line perpendicular to this line will be the negative reciprocal or 1/4.

Write the equation using the slope m=1/4 and the point slope form.

$y-y_1=m(x-x_1)\ny-3=(1)/(4)(x+2)$

This is the equation of the line that is perpendicular and passes through the same point (-2,3) as the equation listed.

Answer:

$y=(1)/(4) x+c$ where $c$ can be any number.

Step-by-step explanation:

First we need to clear for y:

$y-3 =-4(x+2)\ny=-4(x+2)+3\ny=-4x-8+3\ny=-4x-5$

and now we have an equation of the form:

$y=mx+b$

where m is the slope and b is the y-intercept.

in this case $m=-4$ and $b=-5$

to find and equation perpendicular to this line, the following must be true: $m*m_(1)=-1$

where m is the slope of the original line that i just mentioned, and $m_(1)$ is the slope of the new line. Substituting $m=-4$

$-4*m_(1)=-1$

clearing for $m_(1)$

$m_(1)=(-1)/(-4) \nm_(1)=(1)/(4)$

thus, the new perpendicular line must have the form:

$y=m_(1)x+c\ny=(1)/(4)x+c$

where the y-intecept $c$ can be any number, some examples are:

$y=(1)/(4)x+3\ny=(1)/(4)x-8$

and so on, the important thing to be a perpendicular line is that the slopes are related to the equation $m*m_(1)=-1$ .

Mr. Anderson drove 168 miles in 3 and 1/2 hours. HE then drove the next 2 and 1/4 hours at a rate of 5 miles an hour faster than the first rate. How many miles did Mr.Anderson Drive during the 5 and 3/4 hours?Please answer ASAP for brainliest answer and thanks!

Answers

The distancetraveled in the period of 5 and 3\4 hours will be 287 miles and 1\4 miles.

Calculating the velocity of each moment we have:

Speed 1 :

$168 miles / 2.25 hours = 48 miles/hour$

Speed 2:

$48 + 5 miles/hour = 53 miles/hour$

calculating the distance of each moment we have:

Distance 1 = 168 miles

Distance 2:

$2.25 hours X 53 miles/hour =119.25 miles$

Calculating the total distance we have:

Total Distance = Distance 1 + Distance 2

= 168 + 119.25 miles = 287.25 miles

See more about distance at brainly.com/question/15172156

Speed 1 = 168 miles / 2.25 hours = 48 miles/hour
Speed 2 = 48 + 5 miles/hour = 53 miles/hour
Distance 1 = 168 miles
Distance 2 = 2.25 hours X 53 miles/hour =119.25 miles
Total Distance = Distance 1 + Distance 2 = 168 + 119.25 miles = 287.25 miles
Or 287 and 1/4 miles

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