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4 years ago

(x+3)/2 = 8. Find value of x.

Mathematics

2 answers:

erma4kov [3.2K]4 years ago

7 0

Answer:

Answer is C

Step-by-step explanation:

lora16 [44]4 years ago

3 0

Answer:

$C$

Step-by-step explanation:

$\frac{x+3}{2} =8$

$x+3=8(2)$

$x+3=16$

$x=16-3$

$x=13$

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Harold bought 3 pounds of red apples and 4.2 pounds of green apples ftom Blue Star Grocery,where both kinds of apples are $1.75

vladimir2022 [97]

Hi There!

Step-by-step explanation:

4.2 + 3 = 7.2

7.2 * 1.75 = 12.6

Answer:

Harold spent $12.60 on apples.

Hope This Helps :)

8 0

3 years ago

Mhanifa please help! Find the coordinates of the circumcenter of the triangle with the vertices A(4, 12), B(14, 6), and C(-6, 2)

melamori03 [73]

Answer:

(4.5, 1.5)

Step-by-step explanation:

Given vertices of a triangle:

A(4, 12), B(14, 6), and C(-6, 2)

Let the circumcenter is point M(x, y)

We know that the circumcenter is equidistant from each of the vertices.

Use distance formula:

AM = √(x - 4)² + (y - 12)²
BM = √(x - 14)² + (y - 6)²
CM = √(x + 6)² + (y - 2)²

All three distances are equal:

AM = BM = CM ⇒ AM² = BM² = CM² ⇒
(x - 4)² + (y - 12)² = (x - 14)² + (y - 6)² = (x + 6)² + (y - 2)²

Square of each:

AM² = x² - 8x + 16 + y² - 24y + 144 = x² + y² - 8x - 24y + 160
BM² = x² - 28x + 196 + y² - 12y + 36 = x² + y² - 28x - 12y + 232
CM² = x² + 12x + 36 + y² - 4y + 4 = x² + y² + 12x - 4y + 40

Comparing the squares, we get following system:

-8x- 24y + 160 = -28x - 12y + 232 ⇒ 20x - 12y = 72 ⇒ 5x - 3y = 18
- 8x - 24y + 160 = 12x - 4y + 40 ⇒ 20x + 20y = 120 ⇒ x + y = 6

Solve by substitution, x = 6 - y:

5(6 - y) - 3y = 18
30 - 8y = 18
8y = 12
y = 1.5

Find x:

x = 6 - 1.5 = 4.5

So the circumcenter is M(4.5, 1.5)

7 0

3 years ago

Find the curl and the divergence of the vector field f(x, y, z) = x2yz i + xy2z j + xyz2 k

xxTIMURxx [149]

$\mathbf f(x,y,z)=x^2yz\,\mathbf i+xy^2z\,\mathbf j+xyz^2\,\mathbf k$

$\mathrm{div}\mathbf f(x,y,z)=\dfrac{\partial(x^2yz)}{\partial x}+\dfrac{\partial(xy^2z)}{\partial y}+\dfrac{\partial(xyz^2)}{\partial z}$
$=2xyz+2xyz+2xyz$
$=6xyz$

$\mathrm{curl}\mathbf f(x,y,z)=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\\\\frac\partial{\partial x}&\frac\partial{\partial y}&\frac\partial{\partial z}\\\\x^2yz&xy^2z&xyz^2\end{vmatrix}$
$=\left(\dfrac{\partial(xyz^2)}{\partial y}-\dfrac{\partial(xy^2z)}{\partial z}\right)\,\mathbf i-\left(\dfrac{\partial(xyz^2)}{\partial x}-\dfrac{\partial(x^2yz)}{\partial z}\right)\,\mathbf j+\left(\dfrac{\partial(xy^2z)}{\partial x}-\dfrac{\partial(x^2yz)}{\partial y}\right)\,\mathbf k$
$=\left(xz^2-xy^2\right)\,\mathbf i-\left(yz^2-x^2y\right)\,\mathbf j+\left(y^2z-x^2z\right)\,\mathbf k$

6 0

4 years ago

Please help me answer

patriot [66]

If you multiply you get 24cm

7 0

3 years ago

Read 2 more answers

Say that at the student union, you can get a discounted combo meal. For your drink, you can choose between a soda, water, or cof

disa [49]

Answer:

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