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3 years ago

What is the equation of the following line? Be sure to scroll down first to see

Mathematics

1 answer:

Hoochie [10]3 years ago

3 0

Answer:

y=9x

Step-by-step explanation:

(0,0),(1,9)

when x=0, y=0, means b=0

m is the slope =9

y=9x

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a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l

bogdanovich [222]

Answer:

The length of the rectangle is 9 cm

Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = $\frac{1}{2} x$ cm a

Also, perimeter of rectangle is 24 cm.

Perimeter of rectangle is to add the lengths of all the four sides.

Perimeter of rectangle (P) is given by;

P=2(l+w)

Substituting the value of P = 24 cm , l = (x+3) cm and w = $\frac{1}{2} x$

then,

$24 = 2 (x+3+\frac{1}{2} x)$

Divide by 2 both sides of an equation;

$12 = x+3+\frac{1}{2}x$

Combine like terms;

$12 =\frac{3x}{2} +3$

Subtract 3 from both the sides we get;

$12-3 = \frac{3x}{2} +3-3$

Simplify:

$9 =\frac{3x}{2}$

Multiply both sides by $\frac{2}{3}$ we get

$x = 9 \times \frac{2}{3} = 3 \times 2 = 6$

Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm

6 0

3 years ago

Yesterday morning, the temperature was -11. The temperature increased 7 by noon and then decreased 4 by nightfall. What was the

tamaranim1 [39]

Answer:

-8 is the answer

Step-by-step explanation:

6 0

3 years ago

Equation for ( 6, 13) ( 7900, 5 )

tia_tia [17]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

$y=mx+b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

$(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)$

We find the slope of the line:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}$

Thus, the equation of the line is of the form:

$y = - \frac {4} {3947} x + b$

We substitute one of the points and find b:

$13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}$

Finally, the equation is:

$y = - \frac {4} {3947} x + \frac {51335} {3947}$

Answer:

$y = - \frac {4} {3947} x + \frac {51335} {3947}$

5 0

3 years ago

Peter bought 2 1/2 pounds of hamburger meat.He is planning to make 1/4 pound hamburgers.How many 1/4 pound hamburgers can he mak

dexar [7]

Answer:

Step-by-step explanation:

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3 years ago

For each ordered pair, determine whether it is a solution to 2x - 5y=11.

Sidana [21]

Answer:

(3, -1)

Step-by-step explanation:

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3 years ago