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3 years ago

How to solve this problem

Mathematics

1 answer:

Soloha48 [4]3 years ago

3 0

The last statement is correct
MN > NO > OM

m∠O = 180 - 44 = 136
side opposite ∠O is the longest MN
side opposite ∠N is the shortest OM

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The length of a rectangle is 7 inches less than twice the width, w, of the rectangle.

Ivan

Answer:

Step-by-step explanation:

Let w represent the width of the rectangle.

The length of a rectangle is 7 inches less than twice the width, w, of the rectangle. It means that the length is (2w - 7) inches

Part A

The function that gives the area as a function of the width is

A(w) = w(2w - 7)

Part B:

If the area of the rectangle is 60 square inches, it means that

w(2w - 7) = 60

2w² - 7w = 60

2w² - 7w - 60 = 0

2w² + 8w - 15w - 60 = 0

2w(w + 4) - 15(w + 4) = 0

2w - 15 = 0 or w + 4 = 0

w = 15/2 or w = - 4

Since w cannot be negative, then

w = 15/2 = 7.5 inches

4 0

3 years ago

Question 3 (4 MARKS) Find the equation of the tangents to the curve of the function with rule y = x^2 at the points where x = a

Arte-miy333 [17]

Answer:

(0 , -a²)

Step-by-step explanation:

tangent at x = a and x = -a

y = x² (a , a²) and (-a , a²) must be on the curve and tangent to curve

gradient dy/dx = 2x

slope (m) at x = a is 2a and slope (m') at x=-a is -2a

line1: (y - a²) / (x - a) = 2a

y - a² = 2a (x - a) y = 2ax - a² ... (1)

line2: (y - a²) / (x + a) = - 2a y = -2ax- a² ... (2)

(1) - (2): 4ax = 0 a≠0 x = 0

y = - a²

I wish I did it right, or ....

3 0

3 years ago

1/6 Book

GalinKa [24]

Given:

$\frac{1}{6} \text{ book in } \frac{2}{3} \text{ hours}$

To find:

Number of books per hour

Solution:

We have to calculate the book read in one hour.

$\frac{1}{6}\text{ book }\rightarrow\frac{2}{3}\text{ hour}\\\\\text{we have to multiply both the side with 2/3}\\\\\frac{1}{6}\times\frac{3}{2}\text{ book }\rightarrow\frac{2}{3}\times\frac{3}{2}\text{ hour}\Rightarrow\frac{1}{4}\text{ book }\rightarrow1\text{ hour}$