All categories

3 years ago

Write an equation with a slope of -7 and a y-intercept of (0,4)

Mathematics

1 answer:

Tanzania [10]3 years ago

3 0

Answer:

Step-by-step explanation:

y - 4 = -7(x - 0)

y = -7x + 4

You might be interested in

Describe in words the region of R3 reperesented by the equations or inequalities x2+y2+z2≤3

Vaselesa [24]

Answer:

The region represented by the equation is a full sphere of radius √3 centered in the origin of coordinates.

Step-by-step explanation:

In a plane xy, the equation that represents a circle with center in the origin, of radius r is

$x^2+y^2=r^2$

in R³, or a space xyz, we can represent a sphere with its center in the origin, and of radius r, with the equation

$x^2+y^2+z^2=r^2$

So, in this problem we have that

$3=r^2$

which means that the sphere has a radius of √3.

Finally, our equation is an inequality, and the sphere is equal to, and less than, the calculated radius.

Therefore, the sphere is "full" from the surface to its center.

8 0

3 years ago

I need help fast please!!

kaheart [24]

Solution set is: ( $7,\frac{13}{3}$ )

Option B is correct

Step-by-step explanation:

We need to find the solution to system of equations

$y=\frac{1}{3}x+2\\y=\frac{4}{3}x-5$

Let:

$y=\frac{1}{3}x+2\,\,\,eq(1)\\y=\frac{4}{3}x-5\,\,\,eq(2)$

Putting value of y from eq(2) into eq(1)

$\frac{4}{3}x-5=\frac{1}{3}x+2\\Combining\,\,like\,\,terms:\\\frac{4}{3}x-\frac{1}{3}x=2+5\\Taking\,\,LCM\\\frac{4x-1x}{3}=7\\\frac{3x}{3}=7\\x=7$

So, value of x=7

Putting value of x into equation 1 to find the value of y:

$y=\frac{1}{3}x+2\\y=\frac{1}{3}(7)+2\\y=\frac{7}{3}+2\\Taking\,\,LCM\\y=\frac{7+2*3}{3}\\y=\frac{7+6}{3}\\y=\frac{13}{3}$

So, value of y = $\frac{13}{3}$

Solution set is: ( $7,\frac{13}{3}$ )

Option B is correct

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

3 0

3 years ago

Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils

Inessa05 [86]

Answer:

Step-by-step explanation:

8 0

3 years ago

What ratio is equivalent to 2/1

Vanyuwa [196]

Answer:12 : 6 22 : 11 32 : 16

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Please answer for extra points !

MatroZZZ [7]

Answer:

the answer is D

Step-by-step explanation:

I don't know how to explain it very well but the line starts at 2 then ends at 8

6 0

2 years ago