All categories

3 years ago

Which equation in point-slope form describes the line through points (4, –4) and (1, 2)?

Mathematics

1 answer:

IRINA_888 [86]3 years ago

6 0

Step-by-step explanation:

Given points (4 , -4) and ( 1, 2)

First calculating slope (m) 

=( y2 - y1) /( x2 -x1) 

= ( 2 + 4) / (1-4)

= 6/ -3

= -2

Now

The equation in point slope form

y - y1 = m ( x - x1) 

y + 4 = -2 ( x - 4)

y + 4 = -2x + 8

2x + y - 8 + 4 = 0

2x + y -4 = 0 which is the required equation 

You might be interested in

The triangle and rectangle

valentinak56 [21]

2x-4=3x-11 so add 4 to 11 and that’s -7 then subtract 2x from 3x so that’s 1x so 1x divides by -7 equals -7 so x=-7

7 0

3 years ago

A club swimming pool is 21 ft wide and 33 ft long. the club members want an exposed aggregate border in a strip of uniform width

vovangra [49]

First compute the perimeter of the pool:
(21+33)*2=108 foot.
Since the material cover 232 ft^2, then it is sufficient to divide the above number over the length of the border like this:
232/108=2.1

The trip can be 2.1 ft in wide.

5 0

3 years ago

Bank A is lending money at 6.4% interest compounded annually. The rate at Bank B is 6.3% compounded monthly, and the rate at Ban

Ad libitum [116K]

Answer:

$1596

$1597.28

$1598.33

bank A

Step-by-step explanation:

The formula for calculating compound interest:

FV = P (1 + r/m)^mn

FV = Future value

P = Present value

R = interest rate

N = number of years

m = number of compounding

Bank A = $1500(1.064) = $1596

Bank B = $1500( 1 + 0.063/12)^12 = 1597.28

Bank C = $1500( 1 + 0.0635/365)^365 = $1598.33

Bank A pays the least amount of interest

8 0

2 years ago

Hello I need help Finding the probability

Stolb23 [73]

Each petal of the region $R$ is the intersection of two circles, both of diameter 10. Each petal in turn is twice the area of a circular segment bounded by a chord of length $5\sqrt2$ , which implies the segment is subtended by an angle of $\dfrac\pi2$ . This means the area of the segment is

$\text{area}_{\text{segment}}=\text{area}_{\text{sector}}-\text{area}_{\text{triangle}}$
$\text{area}_{\text{segment}}=\dfrac{25\pi}4-\dfrac{25}2$

This means the area of one petal is $\dfrac{25\pi}2-25$ , and the area of $R$ is four times this, or $50\pi-100$ .

Meanwhile, the area of $G$ is simply the area of the square minus the area of $R$ , or $10^2-(50\pi-100)=200-50\pi$ .

So

$\mathbb P(X=R)=\dfrac{50\pi-100}{100}=\dfrac\pi2-1$
$\mathbb P(X=G)=\dfrac{200-50\pi}{100}=2-\dfrac\pi2$
$\mathbb P((X=R)\land(X=G))=0$ (provided these regions are indeed disjoint; it's hard to tell from the picture)
$\mathbb P((X=R)\lor(X=G))=\mathbb P(X=R)+\mathbb P(X=G)=1$

4 0

3 years ago

PLEASE HELP ME. I NEED HELP

scoundrel [369]

#3). $124.16 will be in amount of deposit

#4) new balance, b = original balance + deposits - payments

=》 b =$782.14+$124.16 - ($450+$58.25)

=》 b = $398.05

3 0

3 years ago