MATHEMATICS HIGH SCHOOL

Identify the series as geometric or arithmetic.
2, 4/3, 8/9, 16/27

Answers

Answer 1
Answer: Hello,

((4)/(3))/(2)=(4)/(6)=(2)/(3)

((8)/(9))/((4)/(3))=(8*3)/(9*4)=(2)/(3)

((16)/(27))/((8)/(9))=(16*9)/(27*8)=(2)/(3)

The sequence is geometric .
(a serie is a sum)

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HELP ME
Solve to find x and y in the diagram.

Answers

The answer is D x=4.5y=12.5

Solving equations...
4+3x=5
What is X?

Answers

4+3x=5\ \ |-4\n \n4-4+3x=5-4\n \n3x=1 \ \ / :3 \n \nx=(1)/(3)
4 + 3x = 5

Subtract 4 from each side:

3x = 1

Divide each side by 3 :

x = 1/3

The park is 6 mi due east of Freeport High School, and the library is 4 mi due west of the school. The police department is located due north of the school and is 5 mi from the library.How far is the police department from the park? Round to the nearest tenth of a mile.


blank mi

Answers

The answer is 6.7 mi.

Since the right triangle is present, to calculate this we will use the Pythagorean theorem. According to the Pythagorean theorem, the square of the hypotenuse (c²) is equal to the sum of the squares of two other sides (a² + b²):
c² = a² + b²

First, we need to express symbols:
b - side of the right triangle (distance between police department and Freeport High School).
a1 - side of the first right triangle (distance between library and Freeport High School).
a2 - side of the second right triangle (distance between park and Freeport High School).
c1 - hypotenuse of the first triangle (distance between police department and library).
c2 - hypotenuse of the second triangle (distance between police department and park).

Therefore, we need to calculate c2.
It is given:
a2 = 6 mi
a1 = 4 mi
c1 = 5 mi

First, let's calculate b, which is a common side for two triangles:
c1² = a1² + b²
b² = c1² - a1²
b² = 5² - 4²
b² = 25 - 16
b² = 9
√b² = √9
b = 3.

We know b, now we can calculate c2:
c2² = a2² + b²
c2² = 6² + 3²
c2² = 36 + 9
c2² = 45
√c2² = √45
c2 = 6.7

The distance between police department and park is 6.7 miles.

Find all the powers of 4 in the range 4 through 1,000.

Answers

4^1 = 4
4^2 = 16
4^3 = 64
4^4 = 256

Please help with question 6 (last one)❤️

Answers

Answer:

14

Hope this helps

Step-by-step explanation:

yw

Answer:

First choice, 13

Step-by-step explanation:

1/16 times 208 = 208/16 = 13

Find the slope between the two points: (3,-2) and (4,7)

Answers

The slope between the two points (3,-2) and (4,7) is 9.

What is slope of a line?

The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.

To find slope given two(x1, y1) and(x2, y2) points, we use the formula

m=(y_2-y_1)/(x_2-x_1)

Given coordinates are:(3,-2) and (4,7)

x1= 3, x2= 4 , y1= -2 and y2= 7

Using Formula,

m=(7-(-2)))/((4-3))

   = 9 /1

   = 9

So, the slope between two points is 9.

Learn more about slope here:

brainly.com/question/2491620

#SPJ2
To find slope given two points, there is a formula you can use: (y2-y1)/(x2-x1). Y2 stands for the second y coordinate and y1 stands for the first y coordinate. The same logic applies to the x's. Let's assume that (3, -2) is x1, y1 and (4,7) is x2, y2. Let's plug them into the formula.

(7-(-2))/(4-3).
7-(-2)=9 for total y value.

4-3=1 for the x value.

Now we divide them.
9/1=9. 9=m. M is the variable commonly used for slope. Hope this helped!
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