(a)Find an angle between 0° and 360° that is coterminal with 865° .

Suppose a deep sea driver dives from the surface to 248 feet below the surface. He then dives down 10 more feet. Use integers yo

Akimi4 [234]

Answer:

Initial dive: - 248 (below the surface which represents '0')

Second dive: -10

Present depth -248 + -10 = -258 feet below the surface

Step-by-step explanation:

We can use negative integers to represent real-world scenarios such as in elevation and descent, bank account balances and temperatures. In this case, because a diver is descending below the surface of the water, the surface of the water represents the '0' and going down into the water would be negative integers. So, his initial dive is 248 down, or negative 248 (-248), he then dives down an additional 10 feet, or negative 10 (-10). Since the second dive is in addition to his initial dive, we add the two integers together:

-248 + -10 = -258 feet

5 0

2 years ago

221 febrero 2021

DIA [1.3K]

Answer:

uhhh i would love to help but i cant speak that language

3 0

2 years ago

A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated with the origin as the center of di

Marizza181 [45]

Answer:

The dilation on any point of the rectangle is $P'(x,y) = \frac{5}{2}\cdot P(x,y)$ .

Step-by-step explanation:

From Linear Algebra, we define the dilation of a point by means of the following definition:

$G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)]$ (1)

Where:

$G(x,y)$ - Coordinates of the point G, dimensionless.

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$G'(x,y)$ - Coordinates of the point G', dimensionless.

If we know that $O(x,y) = (0,0)$ , $G(x,y) =(2,-2)$ and $G'(x,y) =(5,-5)$ , then scale factor is:

$(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]$

$(5,-5) = (2\cdot k, -2\cdot k)$

$k = \frac{5}{2}$

The dilation on any point of the rectangle is:

$P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]$

$P'(x,y) = \frac{5}{2}\cdot P(x,y)$ (2)

The dilation on any point of the rectangle is $P'(x,y) = \frac{5}{2}\cdot P(x,y)$ .

5 0

2 years ago

Answer this please I need a real answer

Anna11 [10]

Answer:

see explanation

Step-by-step explanation:

(a)

x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides

0 = x² - 2x - 3 ← in standard form

0 = (x - 3)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

-----------------------------------

(b)

$\frac{x+2}{3}$ - $\frac{2}{15}$ = $\frac{x-2}{5}$ ( multiply through by 15 to clear the fractions )

5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides

5x + 10 - 2 = 3x - 6

5x + 8 = 3x - 6 ( subtract 3x from both sides )

2x + 8 = - 6 ( subtract 8 from both sides )

2x = - 14 ( divide both sides by 2 )

x = - 7

--------------------------------------------

(c) Assuming lg means log then using the rules of logarithms

log $x^{n}$ ⇔ nlogx

log x = log y ⇒ x = y

Given

log(2x + 3) = 2logx

log(2x + 3) = log x² , so

x² = 2x + 3 ( subtract 2x + 3 from both sides )

x² - 2x - 3 = 0

(x - 3)(x + 1) = 0

x = 3 , x = - 1

x > 0 then x = 3

6 0

2 years ago

What is the answer to 5^-16+24 with solution

wariber [46]

Answer:

24

Step-by-step explanation:

i used calculator. it is so easy

3 0

2 years ago