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krok68 [10]
2 years ago
13

Selecting an SUV with a blue exterior

Mathematics
1 answer:
frozen [14]2 years ago
6 0

The answer is straightforward, by the "rule of product":

There are

3×8×2=48

3×8×2=48

different combinations (distinct possible cars) that can be created.

There 33 choices for body style; 88 choices for exterior colors, and 22 choices of interior color schemes:

Since each of these choices are independent (the choice of body style doesn't depend on exterior or interior color, e.g.) we multiply the number of choices for each quality to obtain: 3×8×2=483×8×2=48 distinct ways to create a car

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Given ABCE is a rectangle, D is the midpoint of CE<br> Prove AD =~ BD
Bas_tet [7]

Since the congruent operator is ≅ and since AD is congruent to BD, I'm going to assume that you want to prove that AD is congruent to BD.    
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2. AE is equal to BC since opposite sides of a rectangle are equal to each other.  
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3 years ago
If xy + y² = 6, then the value of dy/dx at x= -1 is<br>​
mylen [45]

Hi there!

\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}

\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

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

Factor out dy/dx:

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

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

5 0
3 years ago
Please can someone help my assignment​
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

In ΔJOY and ΔLAF,

If ∠O ≅ ∠J

And \frac{JO}{AL}=\frac{YO}{FA}

Then ΔJOY ~ ΔLAF

By SAS property of similarity of two triangles.

(If two corresponding sides of the triangles are proportional and angles between these sides are equal)

3 0
3 years ago
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