All categories

3 years ago

Does the ordered pair, (1, 5/2) satisfies the given equation 3x-3y=-3 ?

Mathematics

1 answer:

vampirchik [111]3 years ago

7 0

Answer:

Ordered pair, (1, 5/2) does not satisfy the given equation 3x-3y=-3

Step-by-step explanation:

$3x-3y=-3$

Here $(x, y) = (1, \frac{5}{2} )$

$3(1)-3(\frac{5}{2} )=-3$

$3- (\frac{15}{2} )=-3\\6-15=-6\\-9\neq -6$

You might be interested in

Given: AB tangent at D, AD = OD = 4 Find: Area of the shaded region

MrMuchimi

Answer:

1.72

Step-by-step explanation:

AB tangent at D, AD = OD = 4

so triangle OAD is right angle with side of 4 and 4.

area of OAD = 1/2 * 4 * 4 = 8

Angle AOD = DAO = 45 deg.

so circular sector OCD area = area of circle O * 45/360

= pi * 4 * 4 * 45/360

= 2pi

Shade area ACD = trigangle OAD - circular sector OCD

= 8 - 2pi

= 1.72

4 0

3 years ago

In the year 2019, Lee County used approximately 55 million gallons of water. Historical trends show that each year the water dem

Harlamova29_29 [7]

Answer:

Approximately 62 gallons of water will be used by Lee County by the year 2025.

Step-by-step explanation:

The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:

$P(t) = P(0)(1 + r)^{t}$

In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.

In the year 2019, Lee County used approximately 55 million gallons of water.

This means that $P(0) = 55$

Historical trends show that each year the water demand is increasing by a rate of approximately 2.1%.

This means that $r = 0.021$

$P(t) = P(0)(1 + r)^{t}$

$P(t) = 55(1 + 0.021)^{t}$

$P(t) = 55(1.021)^{t}$

Approximately how many million gallons of water will be used by Lee County by the year 2025?

2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).

$P(t) = 55(1.021)^{t}$

$P(6) = 55(1.021)^{6}$

$P(6) = 62.3$

Rounded to the nearest millions

Approximately 62 gallons of water will be used by Lee County by the year 2025.

3 0

4 years ago

Y is 5 less than the product of 4 and x

Tema [17]

Y=4x-5... if you were asking for that in words

3 0

3 years ago

Read 2 more answers

Write an equation to represent the following description "fourteen less than 8 times a number is -11

Serggg [28]

Answer:

(8 * x) -14 = -11

Step-by-step explanation:

* = multiply sign (i didnt want to put "x" as the multiply sign since "x" is already being used) ( mightve confused you with 2 "x"s in the parenthesis.

x = the number that is missing being multiplied by 8

I put "8" multiplied by "x" in parenthesis since you do parenthesis first in an equation.

6 0

3 years ago

4 Apoint Q with coordinates of (8. 6) is reflected across they axis. What is the new<br> Coordinate

kolbaska11 [484]

Answer:

8. -6

Step-by-step explanation:

5 0

3 years ago