What is the equation of a line with an intercept of -3 and a slope of 5?

Mathematics

1 answer:

Setler79 [48]3 years ago

7 0

Answer:

y= 5x-3

Step-by-step explanation:

We have an intercept of -3 and a slope of 5

We can use the slope intercept form of the equation

y= mx+b where m is the slope and b is the y intercept

Substituting in the known values.

y= 5x-3

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CDEF is a parallelogram. Solve for x.

Lana71 [14]

Answer:

x = 12

Step-by-step explanation:

24 = 3x - 12 (opposite sides of a parallelogram are equal)

24 + 12 = 3x

36 = 3x

36/3 = x

12 = x

7 0

2 years ago

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Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?

d1i1m1o1n [39]

Given equation of the Circle is ,

$\sf\implies x^2 + y^2 = 25$

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

$\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2$

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

$\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }$