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DedPeter [7]
3 years ago
7

What is the distance from Cto D? Pls help!! I will award Brainly!!

Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0
You can use the distance formula
Sqroot((x2-x1)^2 + (y2-y1)^2)
(2,-1) and (5,3), use given points
Sqroot((5-2)^2 + (3-(-1))^2)
Sqroot((3)^2 + (4^2)
Sqroot(9+16) = squareroot of 25

Squareroot of 25 = 5

Solution: D. 5 units
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(xy^2+x)dx + ( yx^2+y )dy =0
alexira [117]

Answer:

(y^2+1)(x^2+1)=k

Step-by-step explanation:

It looks like it is possibly separatable.

Let's try.

Factor the x out on first term and factor the y out on second term:

x(y^2+1)dx+y(x^2+1)dy=0

Subtracting y(x^2+1)dy on both sides:

x(y^2+1)dx=-y(x^2+1)dy

Divide both sides by (y^2+1)(x^2+1):

x/(x^+2+1)dx=-y/(y^2+1)dy

Integrate both sides..

Use substitution u=x^2+1 and v=y^2+1...so du= 2x dx and dv=2y dy.

.5du/u=-.5dv/v

.5ln|u|=-.5ln|v|+c

Multiply both sides by 2:

ln|u|=-ln|v|+c

Plug in our substitutions :

ln|x^2+1|=-ln|y^2+1|+c

Absolute values unnecessary since insides are positive always.... also -ln(y^2+1)=ln(1/(y^2+1))

e^ on both sides:

x^2+1=k(1/y^2+1)

(y^2+1)(x^2+1)=k

6 0
3 years ago
Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon
Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}

First we find mean of the given data ,

\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44

Now,

{\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2

=1+1+1+1=4

Now,  standard deviation of the above results will be :-

\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0
4 years ago
Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, w
mash [69]

Answer:

Option C) The symbol y represents the predicted value of price.

Step-by-step explanation:

We are given the following in the question:

We find a regression equation with x representing the ratings and y representing price.

The equation has a slope of 130 and a y-intercept of 350.

Comparing with the slope intercept form:

y = mx + c\\\text{where m is the slope and c is the y intercept}

Thus, we can write the equation as:

y = 130x + 350

Here, y is the predicted variable that is the price, c is the price of hotel when a rating of 0 is given.

Thus, symbol y represents:

C) The symbol y represents the predicted value of price.

5 0
4 years ago
Y= Mx+B. Solve for M
s344n2d4d5 [400]

You said that                             Y            = Mx + B

Subtract  B  from each side:     Y - B       =  Mx

Divide each side by 'x' :           (Y - B) / x  =  M

8 0
4 years ago
Elevator 1 moved up 12 feet from the ground level. Its position is labeled as +12. Elevator 2 moved down 7 feet from the ground
pav-90 [236]

Answer:

-7

Step-by-step explanation:

8 0
4 years ago
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