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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 

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University Theater sold 465 tickets for a play. Tickets cost $23 per adult and $13 per senior citizen. If total receipts were $7

liq [111]

Answer:

355 senior citizen tickets were sold.

Step-by-step explanation:

Assuming a to the the ticket of adults and s to be the ticket of senior citizens, we can write two equations as:

$a +s=465$ --- (1)

$23a+13s=7145$ --- (2)

From equation 1, $a=465-s$ .

Substitute $a$ in equation 2 to get:

$23 (465-s) + 13s = 7145$

$10695 - 23s +13s =7145$

$-10s = -3550$

$s = 355$

Therefore, there were 355 senior citizen tickets sold.

8 0

3 years ago

Jack drove 150 miles in 3 hours. at that rate, how long will it taketo drive 400 miles

Tema [17]

150mi/3hrs = 50mph
400/50 = 8 hours
Check:
8hours * 50mi = 400 miles traveled

5 0

3 years ago

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Find the inverse of h(x)=x^2 +10. please show work or explain it!!

N76 [4]

Here’s something that might help,when brainly doesn’t help me i use socratic!!!!

6 0

4 years ago

A ladder 10 feet long rests against a vertical wall. Initially, the top of the ladder is 8 feet above the ground. If the top of

lora16 [44]

Step-by-step explanation:

Let vertical height of ladder from ground be y and

horizontal distance of the base of the ladder from the wall be x respectively.

Length of the ladder = l (constant) = 10 ft

Using Pythagoras theorem:

${l}^{2} = {y}^{2} + {x}^{2}$

Differentiate both sides w.r.t time

$0 = 2y \frac{dy}{dt} + 2x \frac{dx}{dt}$

$y \frac{dy}{dt} + x \frac{dx}{dt} = 0$

We know that (After 1 sec, y = 6 ft and x = 8 ft ; dy/dt = 2 ft/sec)

$6\times 2 + 8\frac{dx}{dt} = 0$

$\frac{dx}{dt} = - 1.5 ft \: per \: sec$

( Ignore - ive sign)

Therefore, bottom of the ladder is sliding away from the wall at a speed of 1.5 ft/sec one second after the ladder starts sliding.

8 0

3 years ago

In a week, 32 hens laid 96 eggs. What is the unit rate for eggs per hen?

lianna [129]

13.71 eggs per day

96 eggs÷ 77 days÷ 7=13.71 eggs1 day=13.71 eggsday= 13.71 eggs per day

4 0

3 years ago

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