### Rearview Mirror DimensionsThe dimensions of the three rearview mirrors on an automobile are given in the illustration below. Assume the following expressions for the dimensions:- $ a(x) = 4x $- $ b(x) = 3x^2 $- $ c(x) = 3x $- $ d(x) = 6x $#### Illustration Description1. **Windshield Mirror:** - Dimensions are labeled as $ a(x) $ cm (horizontal) and $ b(x) $ cm (vertical).2. **Driver Side Door Mirror:** - Dimensions are labeled as $ c(x) $ cm (vertical) and $ d(x) $ cm (horizontal).3. **Passenger Side Door Mirror:** - Dimensions are similarly labeled as $ c(x) $ cm (vertical) and $ d(x) $ cm (horizontal).### Problems(a) Write an algebraic expression that gives the area of the rearview mirror mounted on the windshield. \[ \text{Area} = \_\_\_\_\_\_ \text{ cm}^2 \](b) Write an algebraic expression that gives the total area of the two side mirrors. \[ \text{Total Area} = \_\_\_\_\_\_ \text{ cm}^2 \](c) Write an algebraic expression that gives the total area of all three mirrors. Express the result in factored form. \[ \text{Total Area} = \_\_\_\_\_\_ \text{ cm}^2 \]#### SolutionsLet's solve each part step by step.**(a) Area of the Windshield Mirror**The area of the windshield mirror is calculated as:\[\text{Area} = a(x) \cdot b(x) = 4x \cdot 3x^2 = 12x^3 \text{ cm}^2 \]**(b) Total Area of the Two Side Mirrors**Each side mirror area is calculated as:\[\text{Area of one side mirror} = c(x) \cdot d(x) = 3x \cdot 6x = 18x^2 \text{ cm}^2\]Since there are two side mirrors:\[\text{Total

We know Area of rectangle length × breath

The dimensions of the three rearview mirrors on an automobile are given in the illustration below. (Assume a(x) = 4x, b(x) = 3x2, c(x) = 3x, and d(x) = 6x.) a(x) cm Windshield b(x) cm d(x) cm d(x) cm с(x) сп с (х) ст Driver side door Passenger side door (a) Write an algebraic expression that gives the area of the rearview mirror mounted on the windshield. cm2 (b) Write an algebraic expression that gives the total area of the two side mirrors. cm2 (c) Write an algebraic expression that gives the total area of all three mirrors. Express the result in factored form. cm2

The dimensions of the three rearview mirrors on an automobile are given in the illustration below. (Assume a(x) = 4x, b(x) = 3x2, c(x) = 3x, and d(x) = 6x.) a(x) cm Windshield b(x) cm d(x) cm d(x) cm с(x) сп с (х) ст Driver side door Passenger side door (a) Write an algebraic expression that gives the area of the rearview mirror mounted on the windshield. cm2 (b) Write an algebraic expression that gives the total area of the two side mirrors. cm2 (c) Write an algebraic expression that gives the total area of all three mirrors. Express the result in factored form. cm2

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: b) Simplify the following equation using positive indices only 3 3(3x+2)4(2x+0.5) 2(2x-5)9(2x-2)

Q: (8 + 5i) – (2 + 3i)

A: Given : (8+5i) - (2+3i) To simplify the given expression. Here we will use-…

Q: (3x²+8x-12)dx 1. x3+7x2 + 12x

A: ∫x+1(x-1)x2dxperform the partial decomposition=∫-2x-1x2+2x-1dxApply…

Q: -4+8i/-9+3i

A: Given: -4+8i-9+3i To find: The simplified form of the given equation.

Q: If (x + yiX3 - 2i)= 16 - 2i, find the value of x

A: To find the value of x we compare both side's value of real parts

Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that, (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: ∫x2(x3-1)11dx

A: Given, ∫x2(x3-1)11dx We can solve it by substitution method

Q: 15 (-4i + 2) =

A: We have to solve : 15.(- 4i +2) = ?

Q: berivative g (Lo +3)ス +4x-3)

A: We want to find Derivative of given function.

Q: dx x²Vx? - 4) (x)

A: By substitution method, solve the integration. Put x = 2sec(theta)

Q: which formula is used in equation 1?

A: The equation 1 is given by: p-180=90-18018000-0q-0⇒ p=-1200q+180⇒…

Q: If (x + yiX3 - 2i)= 16 - 2i, find the value of y

A: To find the value of y we compare both side imaginary parts

Q: arg (3 – 2i) =

Q: Express the following in the form a + ib (for real a and b): 1 (a) 6+2i (b) (-+ i)¹ (c) i², i³, i4,…

Q: Even,odd,or both x)=-L6+8x² 3 flx

A: Given: f(x) = - x5 + 8x3

Q: (-1+i)-(-7+4i)-5

A: Simplify the expression (–1+i) – (–7+ 4i) – 5 as follows.(–1+ i) – (–7+ 4i) – 5 = –1+ i +7– 4 i – 5…

Q: Find ify= xln(4x +1)

Q: Multiplt. 3i(4-i)

Q: x²dx a. V2x-x2 x2 dx b. 1-х6

Q: Calculate the value for ∑j=3 to 7, (3j-2)

A: To calculate: The value of ∑37(3j-2)

Q: (x3 + y3) ÷ (x - y

A: Given: (x3 + y3) ÷ (x - y)

Q: +00 b) dx x2 +9

A: Given that: ∫0+∞dxx2+9

Q: (4x³y-$z+)(-2x-3 y7 z?) =D

Q: Solve for x: a 2[a + 2(a − x)] = 2x X =

Q: d) Solve (0.8x?y³z– 0.6xy²z² +0.4y²) + (0.2y²)

Q: 1) Evaluate (6vx + 6x²)dx.

A: Dear student as per our rule we can solve one question in one session. Please post the other…

Q: (15x - 8) 226

A: Given,

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

### Rearview Mirror Dimensions

The dimensions of the three rearview mirrors on an automobile are given in the illustration below. Assume the following expressions for the dimensions:
- $ a(x) = 4x $
- $ b(x) = 3x^2 $
- $ c(x) = 3x $
- $ d(x) = 6x $

#### Illustration Description

1. **Windshield Mirror:**
- Dimensions are labeled as $ a(x) $ cm (horizontal) and $ b(x) $ cm (vertical).

2. **Driver Side Door Mirror:**
- Dimensions are labeled as $ c(x) $ cm (vertical) and $ d(x) $ cm (horizontal).

3. **Passenger Side Door Mirror:**
- Dimensions are similarly labeled as $ c(x) $ cm (vertical) and $ d(x) $ cm (horizontal).

### Problems

(a) Write an algebraic expression that gives the area of the rearview mirror mounted on the windshield.
\[
\text{Area} = \_\_\_\_\_\_ \text{ cm}^2
\]

(b) Write an algebraic expression that gives the total area of the two side mirrors.
\[
\text{Total Area} = \_\_\_\_\_\_ \text{ cm}^2
\]

(c) Write an algebraic expression that gives the total area of all three mirrors. Express the result in factored form.
\[
\text{Total Area} = \_\_\_\_\_\_ \text{ cm}^2
\]

#### Solutions

Let's solve each part step by step.

**(a) Area of the Windshield Mirror**

The area of the windshield mirror is calculated as:
\[
\text{Area} = a(x) \cdot b(x) = 4x \cdot 3x^2 = 12x^3 \text{ cm}^2
\]

**(b) Total Area of the Two Side Mirrors**

Each side mirror area is calculated as:
\[
\text{Area of one side mirror} = c(x) \cdot d(x) = 3x \cdot 6x = 18x^2 \text{ cm}^2
\]

Since there are two side mirrors:
\[
\text{Total

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

(9Axj da -4 2.
FIND : X³ + 8i = 0
a. (3 + 2i)(2-5i)
Question 5: Subtract: 4x Зх x2 + 4x – 5 х? +х — 2
Determine the value of X
Differentiate the ff equation:
If z1 =3 - 5i and z2 =26 -2i, find z1 +z2 and z1 -z2.
b) 2(x4+1)5 dx
Calculate (x + y) 3x 2y 4y (5х— 20)° -
x2 с. dx 16-x2