What is the length of the hypotenuse, x, if (12, 35, x) is a Pythagorean triple?

Answers

Answer 1
Answer:

Answer:

x = 37

Step-by-step explanation:

Lets take  12 as base (b) and 35 as perpendicular (p)

The hypotenuse (h) = x = ?

We know by using Pythagoras theorem

h^(2) =p^(2) +b^(2)

h^(2) =35^(2) +12 ^(2)

h^(2) = 1225 + 144\nh^(2)= 1369

h =√(1369)

Therefore h = 37

Hope it was helpful:)


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Which function represents the equation of the line? A. f(x)= -x-4
B. f(x)= -x+4
C. f(x)= x-4
D. f(x)= x+4

Answers

Answer:

f(x)= x-4

Step-by-step explanation:

I just took the test :)

Since the line goes from bottom left to top right, the slope is positive. So, the answer is either C or D.

Moreover, the function passes through [/tex] (0,-4) [/tex], which means that the answer is C. In fact, you have

f(x) = x-4 \implies f(0) = 0-4 = -4

If (7, m) is on a circle with center C(−2, 2) and radius 9, what is the value of m?

Answers

First thing I did was check the distance between the point and the center of the circle on the x-axis, because that was the information already given. Turns out that 7 - (-2) = 9, and so m is equal to the y-value of the center of the circle.

m
= 2

Hope that helps!

Maria determined that the length of her driveway from the main road is 35.25 meters.Which number sentence will tell how long Maria’s driveway is, measured in kilometers?







A.

35.25 × 100






B.

35.25 ÷ 1,000






C.

35.25 ÷ 100






D.

35.25 × 1,000

Answers

B, there are 1000m in a km.

Answer:

i think its B hope i helped

What is the KE of a 1 kg ball traveling at 20 meters per second?

Answers

The easiest way to find that answer is to look at the solution that I just gave you for the same ball traveling at 30 M/Sec, and just substitute 20 in place of 30 in that solution.

If dy/dx=1/x, then the average rate of change of y with respect to x on the closed interval [1, 4] is a) -1/4
b) (1/2)*ln(2)
c) (2/3)*ln(2)
d) 2/5
e) 2

Answers

The first thing to do here is to integrate the ordinary differential equation dy/dx = 1/x. This is equal to  y = ln x + C. Assuming C is zero. y = lnx. substituting the two interval, 
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the rate of change then is equal to (ln4 - 0) / (4-1) equal to 2/3 ln 2. Answer is C

The function C(f) = (f – 32) converts a temperature, f, in degrees Fahrenheit, to atemperature, C, in degrees Celsius. Determine C(52), to the nearest degrees Celsius.

Answers


That function is incorrect.
The correct function is . . . .    C(f) = (5/9) (f - 32) .

If a Fahrenheit thermometer reads 52° ,
then a Celsius thermometer should read . . .

         C (52) = (5/9) (52 - 32) =

                        (5/9) (20)  =  (11 and 1/9)°C.


C(52)= (52-32)=20. You substitute (f) with 52