Find the slope of the line that contains the points (0,4) and (1, 6)

A ___ is a portion of __ that has a definite length and it is located between two points.

Mekhanik [1.2K]

Segment is a portion of line

3 0

3 years ago

Please solve the following system of equations x+3y=8 2x-y=2

Anuta_ua [19.1K]

Answer:

(2,2)

Step-by-step explanation:

Given equations are

x+3y=8 eq(1)

2x-y=2 eq(2)

we'll solve the system of equation by substitution.

Adding -3y to both sides of eq(1),we get

x+3y-3y=8-3y

x+0=8-3y

x=8-3y eq(3)

Put above value of x in eq(2),we get

2(8-3y)-y=2

16-6y-y=2

16-7y=2

Adding -16 to both sides of above equation,we get

-16+16-7y=-16+2

0-7y=-14

-7y=-14

Dividing by -7 to both sides of above equation,we get

-7y/-7=-14/-7

y=2

Putting y=2 in eq(3),we get

x=8-3(2)

x=8-6

x=2

hence, the solution for this system of equations is (2,2).

5 0

3 years ago

Two quadrilaterals are similar. The length of the row longest sides of the first quadrilateral are 40in and 60in. The lengths of

Andreyy89

Answer:

The sides of the first quadrilateral are 60 in, 40 in, 30 in and 12,5 in

The sides of the second quadrilateral are 24 in, 16 in, 12 in and 5 in

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

Arrange the sides of each quadrilateral from largest to smallest

First quadrilateral Second quadrilateral

Longest side=60 in Longest side=c in

Second side=40 in Second side=16 in

Third side= a in Third side= 12 in

Fourth side=b in Fourth side=5 in

so

$\frac{60}{c}=\frac{40}{16}=\frac{a}{12}=\frac{b}{5}$

Find the value of c

$\frac{60}{c}=\frac{40}{16}$

$c=60(16)/40$

$c=24\ in$

Find the value of a

$\frac{40}{16}=\frac{a}{12}$

$a=40(12)/16$

$a=30\ in$

Find the value of b

$\frac{40}{16}=\frac{b}{5}$

$b=40(5)/16$

$b=12.5\ in$

7 0

3 years ago

The Wright family and the James family each used their sprinklers last summer. The water output rate for the Wright family's spr

padilas [110]

Answer:

3.5 hrs

Step-by-step explanation:

3 0

3 years ago

Biologists have found that the number of chirps some crickets make per minute is related to temperature. the relationship is ver

aalyn [17]

Answer:

It is $74.24$ degrees Fahrenheit when the crickets are chirping $150$ times a minute.

Variables $x = Chirps$ and $y = Degrees$

y-intercept $= 38.24$

slope $= 0.24$

Step-by-step explanation:

As the chirps are $124$ times per minute for $68$ degrees Fahrenheit we will consider it in $(x_1,y_1) = (124,68)$ .

Now when the chirps are $172$ times and temperature is $80$ degrees we consider it $(x_2,y_2) = (172,80)$ .

To find the slope we can use point-slope formula.

Where $m$ is the slope and $m=\frac{y_2-y_1}{x_2-x_1} =\frac{80-68}{172-124}= 0.24$

To find y-intercept we will plug out the value of slope in $y=m(x)+b$ choosing point $(x_1,y_1) = (124,68)$ .

So $b=y-m(x) =68-124(0.24) =68-29.76=38.24$

And the equation is $y=0.24(x)+b$

To calculate temperature for $150$ chirpings we have to plug $x=150$ and $b=38.24$ in our above equation which is in form of $y=m(x)+b$

$y=0.24(x)+b$

$y=0.24(150)+38.24=74.24\approx 75$ degrees Fahrenheit.

Finally we have :

Temperature $74.24$ degrees Fahrenheit.

With variables $x = Chirps$ and $y = Degrees$

y-intercept $= 38.24$ and

slope $= 0.24$

6 0

3 years ago

Find the slope of the line that contains the points (0,4) and (1, 6) ​

Find the slope of the line that contains the points (0,4) and (1, 6)