All categories

3 years ago

Which is the graph of the linear equation 1/2x-2y>-6

Mathematics

1 answer:

olga55 [171]3 years ago

3 0

$\dfrac{1}{2}x-2y > -6\ \ \ \ |-\dfrac{1}{2}x\\\\-2y > -\dfrac{1}{2}x-6\ \ \ |change\ signs\\\\2y > \dfrac{1}{2}x+6\ \ \ \ |:2\\\\y > \dfrac{1}{4}x + 3$
$y=\dfrac{1}{4}x+3\\\\for\ x=0\to y=\dfrac{1}{4}\cdot0+3=3\to(0;\ 3)\\\\for\ x=-4\to y=\dfrac{1}{4}\cdot(-4)+3=-1+3=2\to(-4;\ 2)$

You might be interested in

Please help! Will give the brainiest!!

Eduardwww [97]

Answer:

1. SSS; Triangle ABC is congruent to Triangle DEF; sorry there's no triangle symbol on here.

2. HL; CBA is congruent to ZYX; or ABC is congruent to XYZ

Step-by-step explanation:

5 0

2 years ago

Katya treated everyone in theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before

sweet-ann [11.9K]

let the price of pizza and soda( per 2 litre bottle) be x and y

from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y =11.95.......(2)

multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6

2x+2y= 23.9

10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6

So the prices of the pizza and soda are 11.37 and 0.6 dollars.

4 0

2 years ago

In ΔUVW, the measure of ∠W=90°, VW = 32 feet, and WU = 78 feet. Find the measure of ∠V to the nearest degree.

DanielleElmas [232]

Answer: $67.68^{\circ}$

Step-by-step explanation:

Given

$\angle W=90^{\circ}$

$VW=32\ ft$

$WU=78\ ft$

from the figure, we can write

$\Rightarrow \tan v=\dfrac{UW}{VW}\\\\\Rightarrow \tan v=\dfrac{78}{32}\\\\\Rightarrow \tan v=2.437\\\Rightarrow v=\tan^-1(2.437)\\\Rightarrow v=67.68^{\circ}$