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Firdavs [7]
3 years ago
15

On a coordinate plane, Point C is at (-3,5) and Point D is at (4,9). What is the distance from point C to point D?

Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0

Answer:

5\sqrt[\\]{3} \\ or about 8.66

Step-by-step explanation:

To find the distance of any line, you have to use distance formula.

\sqrt{(y-y_{1} )^{2} + (x-x_{1} )^{2}

So, we insert our points:

\sqrt{(5-9 )^{2} + (-3-4 )^{2}

Then you solve, and should end up with \sqrt{75}. Either you can simplify it for an exact number, or you can round. It depends on what the directions ask for.

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A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per li
Lilit [14]

Answer:

Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.

Step-by-step explanation:

We can solve this by using <em>simultaneous equations</em>:

  1. Let us express the question in terms of equations

Let a be cleanser at 50 cents and let b be the cleanser at 80 cents.

Equation 1: 0.5a + 0.8b = 0.59(a+b)

Equation 2: a + b = 2000

From equation 2, a = 2000 - b (Let's call this equation 3)

    2. Substituting equations 2 and 3 in Equation 1:

0.5a + 0.8b = 0.59(a+b)

0.5(2000 - b) + 0.8b = 0.59(2000)

1000 - 0.5b + 0.8b = 1180

0.3b = 180

b = 600

Substitute in equation 3:

a = 2000 - 600

a = 1400

As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.

4 0
3 years ago
Sketch the graph of the function f(x) = -(x-4)^3 by indicating how a more basic function has been shifted, reflected, stretched,
irina [24]

Step-by-step explanation:

In the attached images we can see the rigid transformation of the function f(x) =x^{3}

1. The basic graph f(x) =x^{3}

2. The reflected graph f(x) = -x^{3}

3. The displaced graph f(x) = -(x-4)^{3}

Reflection: In the expression f(x) = -(x-4)^{3} , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x) , then the reflection on the x axis is equal to the reflection on the y axis.

Displacement: We observe the term (x-4) of the function f(x) = -(x-4)^{3} and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted .

3 0
3 years ago
How do you solve -2+6(-6x+6)?
Natali5045456 [20]

Answer: −36x+34

Step-by-step explanation:

Equation: −2+6(−6x+6)

Step 1. distribute the equation:

−2+(6)(−6x)+(6)(6)

−2+−36x+36

Step 2. Finally combine like terms:

−2+−36x+36

(−36x)+(−2+36)

−36x+34

Final Answer:

−36x+34

Hope I could help! :)

4 0
3 years ago
A bolt has 6 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?
Reika [66]

There would be 41 1/4 turns in 2 1/2 inches of threads.

Given, number of turns a bolt has = 16 1/2 turns per inch.

per inch bolt turns = 16 1/2 =33/2

how many turns would be there in 2 1/2 inches of threads = ?

Threads Per Inch, or TPI, is a measure of how many threads are found in one inch along a fastener's length. American fasteners are the only ones that employ TPI. Typically, the thread count is higher for smaller fasteners since they have finer threads. Just as the name implies, the Threads Per Inch (TPI) refers to the number of threads that run the length of a screw for one inch. The TPI of a screw can be easily calculated by simply counting the threads and dividing the total length.

so, 5/2 inches bolt turns =33/2 x 5/2

=165/4

hence 41 1/4 turns

Therefore, 2 1/2 inches of threads have 41 1/2 turns.

Learn more about Conversions here:

brainly.com/question/16851332

#SPJ1

4 0
1 year ago
Connor bought a pack of 4 notebooks for<br> $8.20. What was the unit price? please explain
Mamont248 [21]

Answer:

$2.05

Step-by-step explanation:

$8/4 notebooks= $2

.20/4=.05

________________

$2.05

3 0
3 years ago
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