All categories

4 years ago

Up, Down, and All Around Quiz

Mathematics

2 answers:

krek1111 [17]4 years ago

8 0

Answer:

hey

Step-by-step explanation:

sorrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrry to bother you but do you know the answers i want to check mine please

zlopas [31]4 years ago

8 0

Answer: The required slope of line C'D' is $-\dfrac{3}{7}.$

Step-by-step explanation: Given that the points (-5, 8) and D (2, 5) lie on line CD. And, the points C' and D' are created by translating points C and D left 6 units.

We are to find the slope of line C'D'.

We know that

if a point (x, y) is translated 6 units left, then its new co-ordinates becomes

(x, y) ⇒ (x-6, y).

So, after translating 6 units left, the co-ordinates of points C(-5, 8) and D(2, 5) becomes

C(-5, 8) ⇒ C'(-5-6, 8) = (-11, 8),

D(2, 5) ⇒ D'(2-6, 5) = (-4, 5).

We know that the slope of a line having points (a, b) and (c, d) on it is given by

$m=\dfrac{d-b}{c-a}.$

Therefore, the slope of line C'D' is

$m=\dfrac{5-8}{-4-(-11)}=\dfrac{-3}{-4+11}=-\dfrac{3}{7}.$

Thus, the required slope of line C'D' is $-\dfrac{3}{7}.$

You might be interested in

Θ is in Quadrant III and cos^2 0= 1/4

pychu [463]

I think you mean to say $\cos^2\theta=\dfrac14$ . If $\theta$ is in the third quadrant, then $\sin\theta$ and $\cos\theta$ . Recall that

$\sin^2\theta+\cos^2\theta=1\implies\sin\theta=\pm\sqrt{1-\cos^2\theta}$

We expect $\sin\theta$ to be negative, so we take the negative root. We end up with

$\sin\theta=-\sqrt{1-\dfrac14}=-\dfrac{\sqrt3}2$

We also know to expect $\cos\theta$ , so

$\cos\theta=\pm\sqrt{\dfrac14}\implies\cos\theta=-\dfrac12$

By definition, we have

$\cot\theta=\dfrac{\cos\theta}{\sin\theta}$

and so

$\cot\theta=\dfrac{-\frac12}{-\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

7 0

3 years ago

Write the number five million four thousand three hundred in standard form

valentinak56 [21]

Written numerically, the number you stated is written as:

5,004,300

Standard Form (Scientific Notation) numbers are written as a decimal (n.m) such that there is [normally] only one digit (n) to the left of the decimal point, and the rest of the number (m) to the right (with a possible limit). If there is only a single digit in the whole number then the value on the right is a zero (n.0).

To show that the value shown has shifted its decimal point position, the number of decimal positions shifted is shown after the number as a 10’s multiplied to the power of the number of positions shifted.

e.g., 102 = 102.0 = 1.02 (decimal point shifted left two places. If smallest digit is 0 then ignore it UNLESS it’s the ONLY digit!!)

1.02*10^2(2 Decimal shift to the left)

1.02*10^2

So, for the number asked in the question:

5,004,300 = 5,004,300.0

Left shift 6 times to largest digit = 5.004300

5.004300 (show the shift multiplier: 10^6)

5.004300*10^6

4 0

3 years ago

Ramla has two full 1.5 litre bottles of water. She wants to fill as many glasses as possible with water from the bottles. Each g

DanielleElmas [232]

Answer:

8 glasses

Step-by-step explanation:

Total volume : 1500 ml

Glasses capacity : 180 ml

Glasses can be filled : 1500 / 180 = 8.33

Notice it says completely fill thus it is 8 glasses

6 0

4 years ago

Algebra help please !

umka2103 [35]

Answer:

g(f(0)) = 2

Step-by-step explanation:

To find g(f(0)), you must first find f(0).

f(x) = 3x + 1

f(0) = 3(0) + 1 = 0 + 1 = 1

Now you input 1 into function g(x).

g(x) = (4x + 2)/3

g(1) = [4(1) + 2]/3

g(1) = [4 + 2]/3

g(1) = 6/3

g(1) = 2

g(f(0)) = 2

6 0

3 years ago

Read 2 more answers

What is 43/10 as a mixed number

Anika [276]

Answer:

4 3/10

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers