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Serhud [2]
3 years ago
8

Which of the following correctly uses absolute value to show the distance between -50 and 12? A: |-50 - 12| = |-62| = -62 units

B: |-50 + 12| = |-38| = 38 units C: |-50 + 12| = |-38| = -38 units D: |-50 - 12| = |-62| = 62 units
Mathematics
1 answer:
Zanzabum3 years ago
7 0
I’m sorry I’m answering this to ask a question
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F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa
DerKrebs [107]

a. Parameterize C by

\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath

with 0\le t\le1.

b/c. The line integral of \vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath over C is

\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt

=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt

=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt

=\displaystyle10\int_0^1\mathrm dt=\boxed{10}

d. Notice that we can write the line integral as

\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)

By Green's theorem, the line integral is equivalent to

\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy

where D is the triangle bounded by C, and this integral is simply twice the area of D. D is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0
3 years ago
Find the value of x for which ABCD must be a parallelogram.
kolbaska11 [484]
4x-1=x+26
3x-1=26
3x=27
x=9
PLZ Make Me Brainliest
6 0
3 years ago
Read 2 more answers
The function y = f(x) is graphed below. What is the average rate of change of the
Serjik [45]

The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

<h3>What is the average rate of change?</h3>

The average Rate of Change of the function f(x) can be calculated as;

f(x) = \dfrac{f(b) - f(a)}{b-a}

Interval -3 ≤ x ≤-1

a = -3, b = -1

f(a) = f(-3) = -20

f(b) = f(-1) = 0

Step 2: Find Average

f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

Learn more about average rate;

brainly.com/question/20784578

#SPJ1                  

3 0
1 year ago
Which graph represents and exponential function?
Sati [7]

Answer:

Velocity time graph represent and exponential function

3 0
2 years ago
Find the equation of the line passing through the points (1, -2) and (-2, 7). Write the equation in slop-intercept from.
alex41 [277]
Y=-3x+1 because in the points the equation will be y+2=-3(x-1) this converted into slope intercept form is y=-3(x-1)
5 0
3 years ago
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