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rusak2 [61]
3 years ago
9

Is (-4, 2) a solution of 4x + 5y < -7?

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

Answer:

No

Step-by-step explanation:

Substitute the coordinates of the point into the left side of the inequality, evaluate and compare.

4(- 4) + 5(2) = - 16 + 10 = - 6 > - 7

Thus (- 4, 2 ) is not a solution

You might be interested in
Find the perimeter of the triangle with coordinates A(5,2), B(5,4), and C(1,1). Round to the nearest tenth.
faltersainse [42]

Answer:

11.1 units

Step-by-step explanation:

We solve for this using the formula when using coordinates (x1 , y1) and (x2, y2)

= √(x2 - x1)² + (y2 - y1)²

A(5,2), B(5,4), and C(1,1).

For AB = √(x2 - x1)² + (y2 - y1)²

= A(5,2), B(5,4)

= √(5 - 5)² +(4 - 2)²

= √ 0² + 2²

= √4

= 2 units

For BC = √(x2 - x1)² + (y2 - y1)²

= B(5,4), C(1,1)

= √(1 - 5)² +(1 - 4)²

= √ -4² + -3²

= √16 + 9

= √25

= 5 units

For AC = √(x2 - x1)² + (y2 - y1)²

A(5,2), C(1,1)

= √(1 - 5)² + (1 - 2)²

= √-4² + -1²

= √16 + 1

= √17

= 4.1231056256 units

The Formula for the Perimeter of Triangle = Side AB + Side BC + Side AC

= 2 units + 5 units + 4.1231056256 units

= 11.1231056256 units.

Approximately the Perimeter of a Triangle to the nearest tenth = 11.1units

4 0
2 years ago
HELP QUICK PLS!!!
Tomtit [17]

Answer:

A

Step-by-step explanation:

The lateral surface area is given by pi*r*l, we can use trigonometry to find l. 8*sqrt(3)/l=sin(60), l=16 and r is given by tan(60)=8*sqrt(3)/r, r=8. The lateral surface area is 16*8*pi=128*pi

5 0
2 years ago
Use the following information for problems 1 – 3. Suppose you sign a contract for an annual salary of $50,000 with a guaranteed
erik [133]

Initial salary =  $50,000 .

Rate of raise = 5% each year.

Therefore, each next year salary would be 105% that is 1.05 times.

5% of 50,000 = 0.05 × 50000 = 2500.

Therefore raise is $2500 each year.

According to geometric sequence first term 50000 and common ratio 1.05.

Applying geometric sequence formula

a_n = ar^{n-1}

1) a_n = 50000(1.05)^{n-1}

2) In order to find salary in 5 years we need to plug n=5, we get

a_5 = 50000(1.05)^{5-1}= 50000(1.05)^4

= 50000(1.21550625)

<h3>=$60775.3125.</h3>

3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

S_n = \frac{a(1-r^n}{1-r}

Plugging n=10, a = 50000 and r= 1.05.

S_10 = \frac{50000(1-(1.05)^{10}}{1-1.05}

S_10 = \frac{50000(0.050)^{10}}{0.05}

= 628894.62678.

<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>



7 0
3 years ago
Have to find volume and surface area but idk how
Setler [38]

Answer:

volume 1050 in^{3}

surface area 859 in^{2}

Step-by-step explanation:

volume is length times width times height (7*25*12)/2

surface area is area of all the sides added together

2(25*12)+(12*7)+ 2(\frac{7*25}{2})

4 0
3 years ago
Read 2 more answers
A farmer has 4 horses, 3 pigs and 7 cows.Whatis the probability of randomly selection a pig?
shutvik [7]

Answer:

3/14 or 21.428571428571%

Step-by-step explanation:

First you should add all of the animals together.

3 + 4 + 7 = 14

3 out of 14 animals are pigs.

5 0
3 years ago
Read 2 more answers
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