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3 years ago

PLEASE HELP, I need to get this assignment done soon

1 answer:

6 0

The distance from x=1 to x=6 is 5. That from y=4 to y=-1 is also 5.

We find the coordinates of C separately.

Knowing that C divides AB in the ratio of 2:3, we know that the first part of the line connecting A to B is

2 2
---------- = ---- of the total x-distance from A to B, which is 5. Thus, we get
2 + 3 5 (2/5)(5), or 2. Add this 2 to the x-coordinate of A:
1+2 = 3. This is the x-coord. of C

2 2
---------- = ---- of the total y-distance from A to B, which is 5. Thus, we get
2 + 3 5 (2/5)(5), or 2. Subtract this 2 from the y-coordinate of A: 4-2, or 2. The y-coord. of C is thus 2.
1+2 = 3. This is the x-coord. of C

The coordinates of C are (3, 3).

It would probably help you if you were to draw line AB and also plot C. Once you have point A, you obtain the coord. of point C by adding 2 to the x-coord. of A, and subtracting 2 from the y-coord. of A (subtracting because the y-coordinate of A decreases as we move from A to B).

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Which fraction do you multiply by to simplify 5/ 4 - 3i ?

Rzqust [24]

So I assume
$\frac{5}{4-3i}$

If so. Let us begin.

$\mathrm{Multiply\:by\:the\:conjugate}\:\frac{4+3i}{4+3i} \ \textgreater \ \frac{5\left(4+3i\right)}{\left(4-3i\right)\left(4+3i\right)} \ \textgreater \ \left(4-3i\right)\left(4+3i\right)$

$\mathrm{Apply\:complex\:arithmetic\:rule}:\ \left(a+bi\right)\left(a-bi\right)=a^2+b^2$
$Where\;a=4,\:b=-3 \ \textgreater \ 4^2+\left(-3\right)^2 \ \textgreater \ Refine \ \textgreater \ 25$

$\frac{5\left(4+3i\right)}{25} \ \textgreater \ \mathrm{Cancel\:the\:common\:factor:}\:5 \ \textgreater \ \frac{4+3i}{5}$

$Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number$
$\frac{4}{5}+\frac{3}{5}i\;is\;our\;answer!$

Hope this helps!

3 0

3 years ago

7. You are sitting on a boat on a lake. You can get a sunburn from the sunlight that hits you directly and also from

damaskus [11]

Answer:

Step-by-step explanation:

3 0

2 years ago

A chemistry teacher needs to mix a 20% salt solution with an 80% salt solution to make 20 qt of a 40% salt solution. How many qu

Svetlanka [38]

Answer:

6 2/3 qt 80%
13 1/3 qt 20%

Step-by-step explanation:

It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.

We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...

0.80x +0.20(20-x) = 0.40(20)

0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify

x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution

(20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed

The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.

3 0

2 years ago

Help!!!i need it quick

Eddi Din [679]

Answer:

A linear function is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

An exponential equation is written as:

y = A*(r)^x

Where A is the initial quantity and r is the rate of growth.

If a and A are both positives, the similar characteristic of both types of functions is that as x increases, then the value of y will also increase. Then both functions are increasing functions.

They are different in how they increase, while a linear function increases at a constant rate, an exponential function increases slow at the beginning and really fast as x increases, as you can see in the image below where we compare the two types of functions, the green one is the linear function, and the blue one is the exponential function.

3 0

3 years ago

A department store sells a pair of shoes with a 80% markup. If the store bought the pair of shoes for $55.25. Round the price to

AleksandrR [38]

Answer:

$31.00

Step-by-step explanation:

that is the procedure above

6 0

3 years ago