All categories

3 years ago

The line L passes through the points (0,7) and (3,19). Work out the equation of the line L.

Mathematics

1 answer:

irinina [24]3 years ago

3 0

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 19 )

m = $\frac{19-7}{3-0}$ = $\frac{12}{3}$ = 4

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = 4x + 7 → A

You might be interested in

Find the missing number?

Rus_ich [418]

Answer:

65 solve theprob

Step-by-step explanation:

sinolove ko po yan paki brainly

4 0

3 years ago

Ray Industries bought a touch screen monitor for $1200. It is expected to depreciate at a rate of 25% per year. What will the va

torisob [31]

A=1,200×(1−0.25)^(3)
A=506.25

6 0

3 years ago

Read 2 more answers

I really need help do can someone do it step by step so I can understand plzzzz

Alekssandra [29.7K]

Answer:

64 × pi m²

Step-by-step explanation:

the formulas needed for the surface area of a cone are :

base area plus the "mantle", the lateral "wall" around it.

the base area is a circle.

so, that formula is Ac = pi×r²

the "wall" formula is Aw = pi×r×s

r = radius

s = slant height = 12

the formula for the surface area of a sphere is

As = 4×pi×r²

we know now, that both surface areas are the same, and also the radius is the same for both objects.

Ac + Aw = As

pi×r² + 12×pi×r = 4×pi×r²

12×pi×r = 3×pi×r²

12×pi = 3×pi×r

12 = 3×r

r = 4 m

now, we only need to use this value of r in our formulas for surface areas, like for the sphere :

4×pi×r² = 4×pi×4² = 4³×pi = 64×pi

3 0

3 years ago

A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?

morpeh [17]

Answer:

The other end point is: s+ti = 3+9i

Step-by-step explanation:

Mid-Point(M) in the complex plane states that the midpoint of the line segment joining two complex numbers a+bi and s+ti is the average of the numbers at the endpoints.

It is given by: $M = \frac{a+s}{2} +(\frac{b+t}{2})i$

Given: The midpoint = -1 + i and the segment has an endpoint at -5 - 7i

Find the other endpoints.

Let a + bi = -5 -7i and let other endpoint s + ti (i represents imaginary )

Here, a = -5 and b = -7 to find s and t.

then;

$-1+i = \frac{-5+s}{2} + ( \frac{-7+t}{2})i$ [Apply Mid-point formula]

On comparing both sides

we get;

$-1 = \frac{-5+s}{2}$ and $1 = \frac{-7+t}{2}$

To solve for s:

$-1 = \frac{-5+s}{2}$

-2 = -5+s

Add 5 to both side we have;

-2+5 = -5+s+5

Simplify:

3 = s or

s =3

Now, to solve for t;

$1 = \frac{-7+t}{2}$

2 =-7+t

Add 7 to both sides we get;

2+7 = -7+t+7

Simplify:

9 = t

t =9

Therefore, the other end point (s+ti) is, 3+9i

4 0

4 years ago

Read 2 more answers

If our monthly income is $3050 in your house payment is $2400 what fraction of your monthly income must go to pay your house pay

ivolga24 [154]

Answer:

The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%

6 0

3 years ago