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Naddika [18.5K]
2 years ago
14

What is the solution to the system of equation below Y equals -1/3 X +6 and X equals -6

Mathematics
1 answer:
Evgen [1.6K]2 years ago
6 0

Answer:

y = 8

Step-by-step explanation:

y= \frac{1}{3} x + 6

x = -6

y=(\frac{1}{3} x 6) + 6

y= 2+6 = 8

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16 out of every 20 students prefer hamburgers or hotdogs what percent of students prefer hamburgers
mel-nik [20]

Answer:

16

Step-by-step explanation:

16

4 0
2 years ago
Find the circumference of a circle with radius, r = 11.5m. Give your answer in terms of π .
nignag [31]

Answer:

So,

if C = 2πR

you take 2π you get 6.28

so C=6.28 x r

the radius is 11.5 so

6.28 x 11.5 = 72.2566

the circumference is 72.2566

Step-by-step explanation:


4 0
3 years ago
Find the perimeter use 3.14
Alex777 [14]
Hey,
So we have to solve this in multiple steps. Step 1 is to find the circumference of the semi-circle and multiply by three since there are three. Step 2 would be to find the perimeter of the rectangle.  Step 3 would be to add those two together.

Step 1: To find the circumference of the semicircle use the formula pi (3.14) times radius (8 ÷ 2 = 4) times 2. After that we will divide by two since there is only half. After that we will multiply that answer by three.
C = 3.14 x 4 x 2
C = 12.56 x 2
C = 25.12

C = 25.12 ÷ 2
C = 12.56

Perimeter = 12.56 x 3 = 37.68

Step 2: To find the perimeter of the rectangle/square add all the sides (8).
Perimeter = 8 + 8 + 8 + 8 = 32

Step 3: Now add the two previous answers to get the final perimeter.
37.68 + 32 = 69.68

Final Answer: 69.68
Hope this helped!

Cheers,
Izzy

8 0
3 years ago
A class photo is being taken of six students, sitting in a row. Three of the students are Jamie, Marshall, and Susan, and Jamie
irina [24]

Answer:

2 different arrangments

6 0
3 years ago
Please help me out guys. The photo will show you what to do. 50 points cause I need it done fast
Nonamiya [84]

Answer:

a) starting height: 5.5 ft

b) hang time: 5.562 seconds

c) maximum height: 126.5 ft

d) time to maximum height: 2.75 seconds

Step-by-step explanation:

a) The starting height is the height at t=0.

h(0) = -16·0 +88·0 +5.5

h(0) = 5.5

The starting height is 5.5 feet.

__

b) The ball is in the air between t=0 and the non-zero time when h(t) = 0. We can find the latter by solving ...

-16t^2 + 8t +5.5 = 0

t^2 -(11/2)t = 5.5/16 . . . . . subtract 5.5, then divide by -16

t^2 -(11/2)t +(11/4)^2 = (5.5/16) +(11/4)^2 . . . . complete the square

(t -11/4)^2 = 126.5/16 . . . . . . . . . . . . . . . . . . . . call this [eq1] for later use

t -11/4 = √7.90625

t = 2.75 +√7.90625 ≈ 5.562

The ball will be in the air about 5.562 seconds.

__

c) If we multiply [eq1] above by -16 and add the constant on the right, we get the vertex form of the height equation:

h(t) = -16(t -11/4) +126.5

The vertex at (2.75, 126.5) tells us ...

The maximum height of the ball is 126.5 feet.

__

d) That same vertex point tells us ...

The maximum height will be reached at t = 2.75 seconds.

_____

If you really need answers fast, a graphing calculator can give them to you in very short order (less than a minute).

6 0
3 years ago
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