Solve the equation X/6 +4=16

Mathematics

2 answers:

Gekata [30.6K]2 years ago

6 0

Answer:72

Step-by-step explanation:

16-4=x/6

12×6=x

X=72

elena55 [62]2 years ago

4 0

Answer:

$x=160$

Step-by-step explanation:

$\frac{x}{6+4} =16$

$\frac{x}{10} =16$

$x=16 \times 10$

$x=160$

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Find the area of the triangle.<br> 24 in.<br> 32 in.

mrs_skeptik [129]

Answer:

A = 384 inches^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the length of the base and h is the height

A = 1/2 ( 32) *(24)

A = 384 inches^2

7 0

2 years ago

Read 2 more answers

Let C be the positively oriented square with vertices (0,0), (1,0), (1,1), (0,1). Use Green's Theorem to evaluate the line integ

liq [111]

Answer:

1/2

Step-by-step explanation:

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

$\int\limits_C {L(x,y)} \, dx + {M(x,y)} \, dy = \int\limits^1_0\int\limits^1_0 {(Mx - Ly)} \, dxdy$

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

Mx(x,y) = d/dx 8x²y = 16xy
Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral

$\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy$

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

$\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy = \int\limits^1_0 {x^2y} |^1_0 \,dy = \int\limits^1_0 {y} \, dy = \frac{y^2}{2} \, |^1_0 = 1/2$