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Mumz [18]
3 years ago
8

Please help as quickly as possible (20pts)

Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0

Answer:

  c)  (-2, 6)

Step-by-step explanation:

Subtracting the second equation from the first gives ...

  (y) -(y) = (x^2 +3x +8) -(2x +10)

  0 = x^2 +x -2 . . . . . simplify

  0 = (x -1)(x +2) . . . . factor

Solutions for x are 1 and -2. The corresponding y-values are ...

  y = 2{1, -2} +10 = {2, -4} +10 = {12, 6}

The solutions are (1, 12) and (-2, 6). The only matching choice is (-2, 6).

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19. Find the volume of a sphere with radius 9.25 cm. Use 3.14 as an approximation for pi. Round the answer to two decimal places
natima [27]
19. The formula for finding the volume of a sphere is 4/3πr^3
The problem says the radius is 9.25 cm.
Just plug in the numbers and solve:
4/3(3.14)(9.25^3)
9.25^3 = ~791.45
4/3(3.14)(791.45)
4/3 • 3.14 = ~4.19
4.19 • 791.45 = 3316.1755
It says to round to 2 decimal places so the answer to this question would be 3316.18.
That means 3316.18 is the volume of the sphere.

20. It's always best to change words into an equation.
-16 - w
w = -23
Plug in the number to the variable:
-16 - (-23)
Double negatives (a negative being subtracted) turn into a plus (positive being added).
-16 + 23 = 7
So the answer is 7.

25. Complementary angles are angles with a sum of 90º.
If angle A is 27º, just subtract that from 90º to get the measure of angle B.
90 - 27 = 63
So angle B is 63º, and the answer is A.
3 0
3 years ago
The circumference of a circle is 6 pi cm what is the length of an arc of 140 degree
ValentinkaMS [17]
Since the total circumference of the circle is 60 pi cm which passes around 360˚, the length of an arc of 140˚ will be equal to 140/360 = 7/18 times the total length:
l = (7/18) * 60 pi cm = 23.3 pi cm
3 0
3 years ago
A water tank is in the shape of a cylinder with a height of 20 feet, and a volume of 1004.8 cubic feet. What is the diameter in
Fittoniya [83]
This would be 8 feet
4 0
2 years ago
Read 2 more answers
Graph this inequality on the number line. 2>3.2. TIHL -4 -3 -2 -1 0 1 2 3 4 1 > 0-> 1 3 4 N​
postnew [5]

Answer:

  • See below

Step-by-step explanation:

<u>Given inequality:</u>

  • x > 3.2

Mark the point 3.2 with open dot and shade zone right to that point.

<em>See attached</em>

3 0
2 years ago
The speed of the current in a creek is 2mph. A person can kayak 10 mi upstream in the same time that it takes him to kayak 14 mi
ad-work [718]

Answer:

  2 hours

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

For a kayak speed of k miles per hour in still water, the speed upstream is (k-2) and the speed downstream is (k+2). Over the distances given, the times are the same, so we can write ...

  10/(k-2) = 14/(k+2)

Multiplying by (k+2)(k-2) gives ...

  10(k+2) = 14(k -2)

  10k +20 = 14k -28 . . . . . eliminate parentheses

  48 = 4k . . . . . . . . . . . . . . add 28-10k

  12 = k

Then the time for 28 miles downstream is ...

  time = 28 / (12 +2) = 2 . . . . hours

It will take the person 2 hours to kayak 28 miles downstream.

5 0
3 years ago
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