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3 years ago

Point p was rotated about the origin (0,0) by -15 degrees. Which point is the image of P?

Mathematics

1 answer:

Airida [17]3 years ago

8 0

Answer:

the answer is d.

Step-by-step explanation:

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The ratio of red counters to blue counters is 1 : 3

jolli1 [7]

Answer:

Nov 20, 2016 · If we assume that initially Number of red counter is 1 Number of blue counter is 3 Now to make ratio reverse you need to add 8 more red counters so that ratio becomes 9:3=3:1

Step-by-step explanation:

6 0

3 years ago

What is the solution to the equation PLS

brilliants [131]

Answer:

x=2.5

Step-by-step explanation:

the first thing you want to do is simplify like terms.

you could say this is as 4(x+7)=38

this can easily be solved algebraically.

first use distributive property on the four

this leaves you with 4x+28=38

next, subtract 28 from both sides

4x=10

now divide everything by four and you get x=2.5

6 0

3 years ago

Find the sixth term of the sequence 1/2, -3/8, 9/32

sukhopar [10]

Answer:

The sixth term is -243/2048 ⇒ answer B

Step-by-step explanation:

* Lets explain the geometric sequence

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)

# 5000 , 1000 , 200 , 40 , …………………………(÷5)

* General term (nth term) of a Geometric sequence:

# U1 = a , U2 = ar , U3 = ar² , U4 = ar³ , U5 = ar^4

# Un = ar^(n-1), where a is the first term , r is the constant ratio

between each two consecutive terms and n is the position of the

number in the sequence

- Ex: U5 = ar^4 , U7 = ar^6 , U10 = ar^9 , U12 = ar^11

- Lets solve the problem

∵ The sequence is 1/2 , -3/8 , 9/32

- Lets find the constant ratio r

∵ The first term is a = 1/2

∵ The second term is U2 = ar

∵ The second term U2 = -3/8

∴ ar = -3/8

∴ 1/2 r = -3/8 ⇒ multiply both sides by 2

∴ r = -3/4

- Lets find the sixth term

∵ a = 1/2 and r = -3/4

∵ n = 6

∴ U6 = ar^5

∴ U6 = 1/2 (-3/4)^5 = 1/2 × -243/1024 = -243/2048

* The sixth term is -243/2048

8 0

3 years ago

Read 2 more answers

Write a quadratic function for each graph described.

user100 [1]

Answer:

$y=2x^2-\frac{4}{3}x-\frac{10}{3}$

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

x=-1 and x=5/3

we can write the equation of the parabola as

$y=a(x+1)(x-\frac{5}{3})$

where

a is a coefficient

Remember that

The parabola pass through the point (5,40)

substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

x=5, y=40

$40=a(5+1)(5-\frac{5}{3})$

$40=a(6)(\frac{10}{3})$

$40=20a\\a=2$

substitute

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

apply distributive property

$y=2(x^2-\frac{5}{3}x+x-\frac{5}{3})\\\\y=2(x^2-\frac{2}{3}x-\frac{5}{3})\\\\y=2x^2-\frac{4}{3}x-\frac{10}{3}$

see the attached figure to better understand the problem

6 0

3 years ago

45 is 90% of what number

choli [55]

45 = 90% * x
45 = .90x
45/.90 = x

x = 50

45 is 90% of 50

8 0

3 years ago

Read 2 more answers