The first thing you should do in that case is to graph both lines.
Once graphed you must see which region of the Cartesian plane they meet their respective inequalities.
The solution of the inequation system is the shaded region shown.
The point sought is
P = (5, -2)
answer
<span> (5, –2)</span>

7 0

3 years ago

Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane p

11111nata11111 [884]

Answer:

r=3 ft

Step-by-step explanation:

it is similarity of two triangles

one

perpendicular side=10 ft

base=10/2=5 ft

second

perpendicular side=10-4=6 ft

Base r=?

$\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft$

8 0

3 years ago

Solve for x and graph the solution on the number line<br> 15 > 2x – 9 > -23

Monica [59]

The answer is 12>x>-7

Step-by-step explanation:

it's first divided into 2 parts

1 . 15 > 2x - 9

2. 2x - 9 > -23

Then solve them individually.

let's do it,

<u>First half</u>

15 > 2x - 9

15+9 > 2x

24 > 2x

24/2 > x

12>x

<u>Second half</u>

2x-9>-23

2x>-23+9

2x>-14

x>-14/2

x>-7

<u>Joining of the two halves</u>

We have :

12>x>-7

8 0

3 years ago

2. CHEMISTRY How many liters of 15% acid and

Wewaii [24]

Answer:

<h3> 26²/₃ liters of 15% acid and 13¹/₃ liters of 33% acid</h3>

Step-by-step explanation:

Concentration Amount of Amount

of Solution Solution (L) of Acid

15% x 0.15x

33% y 0.33y

21% 40 0.21•40

x + y = 40 ⇒ x = 40 - y

0.15x + 0.33y = 0.21•40

0.15(40 - y) + 0.33y = 0.21•40

6 - 0.15y + 0.33y = 8.4

0.18y = 2.4

y = 13¹/₃

x = 40 - 13¹/₃ = 26²/₃

8 0

3 years ago