All categories

2 years ago

The line CD passes through the points C (2, -1) and D (1.1). Which of the

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

6 0

Answer:

what

Step-by-step explanation:

You might be interested in

Solve each equation by completing the square NEED THIS IN 10 MINS WILL GIVE BRAINLIEST

yulyashka [42]

Answer:

Step-by-step explanation:

7(b² - 2b - 8) = 0

7(b² - 2b + ) = 8

7(b² - 2b + 1) = 8 + 1

7(b - 1)² = 9

(b - 1)² = 9/7

b - 1 = ±√(9/7)

b = 1 ±3√(1/7)

b ≈ -0.134, 2.134

m² + 10m + 14 = -7

m² + 10m + = -7 - 14

m² + 10m + 25 = -7 - 14 + 25

(m + 5)² = 4

m + 5 = 2

m = -3

p² - 8p + 21 = 6

p² - 8p + = 6 -21

p² - 8p + 16 = 6 -21 + 16

(p - 4)² = 1

p - 4 = 1

p = 5

4 0

2 years ago

Currently, there are 1,460 wolves in Scataway National Park. If the population of wolves is growing at a rate of 6% every year,

VARVARA [1.3K]

Answer:

$P(t) = 1460(1.06)^t$

Step-by-step explanation:

Exponential equation for population growth:

The exponential equation for a population after t years is given by:

$P(t) = P(0)(1+r)^t$

In which P(0) is the initial population and r is the growth rate, as a decimal.

Currently, there are 1,460 wolves in Scataway National Park.

This means that $P(0) = 1460$

Growing at a rate of 6% every year:

This means that $r = 0.06$ . So

$P(t) = P(0)(1+r)^t$

$P(t) = 1460(1+0.06)^t$

$P(t) = 1460(1.06)^t$

6 0

3 years ago

If r = 4 and ^a8 = 100, what is the first term of the geometric sequence?

telo118 [61]

The first term of the geometric sequence is 0.0061

Step-by-step explanation:

The general form of geometric sequence is a, ar, ar²,ar³,.......

where,

a is the first term of the sequence.
r is the common ratio. Here, the common ratio r = 4.
The 8th term of the sequence is 100. Hence n = 8.

The formula to find the nth term of the geometric sequence is given by :

⇒ $n_{th} term = ar^{n-1}$

⇒ $8_{th}term = a\times4^{8-1}$

⇒ $100 = a \times 4^{7}$

⇒ $100 = a \times 16384$

⇒ $a = \frac{100}{16384}$

⇒ a = 0.0061

Therefore, the first term of the geometric sequence is 0.0061

6 0

2 years ago

Can you please Solve for x and y

hichkok12 [17]

Answer:

x = 35, y = 26.5

Step-by-step explanation:

x = 35 ( Alternate angles are congruent )

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2y - 10 + 35 + 102 = 180, that is

2y + 127 = 180 ( subtract 127 from both sides )

2y = 53 ( divide both sides by 2 )

y = 26.5

8 0

2 years ago

Simplify x^2-9 over x^2-3x

Alla [95]

Answer:

$\frac{x+3}{x}$ or x+3/x

Step-by-step explanation:

Using D.O.T.S (difference of two squares) formula :

$a^{2} -b^{2} = (a+b)(a-b)$

$x^{2} -9= (x+3)(x-3)$

Factorise the second bit:

$x^{2} -3x = x(x-3)$

Now write out this fraction:

$\frac{(x+3)(x-3)}{x(x-3)}$

Now we can cancel out repeated terms (x-3):

$\frac{(x+3)}{x}$
This is our final answer:

$\frac{x+3}{x}$

5 0

2 years ago

Read 2 more answers