Using the quadratic formula to solve x2 = 5 - x, what are the values of x?

uhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs. He has to pack 29

irina1246 [14]

Answer

Find out the how much twine will he needs to pack 29 cartons today .

To proof

As given

uhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs.

As given in the question

Convert the answer to larger units .

As between yard is the largest unit between yard, feet and inches.

$1 inches = \frac{1}{36} yard$

and

$1 feet = \frac{1}{3} yard$

Convert 2 feet into yard

$=\frac{2}{3}$

Convert 4 inches into yard

$= \frac{4}{36}$

twine to wrap each carton packs

$= 1 + \frac{2}{3} + \frac{4}{36}$

L.C.M of (3 , 36) = 36

than the equation becomes

$=\frac{36 +2\times 12 + 4}{36}$

$= \frac{64}{36}$

=1.77777778 yard

Now twine to wrap pack 29 cartons = 29× 1.77777778

= 51.5555556 yard

Now twine to wrap pack 29 cartons is 51.55 yard ( approx)

Hence proved

6 0

3 years ago

What is another way to name angle 3?

fiasKO [112]

Answer:

intimately there are three types of angles a cute angle and angle between zero and 90° right angle and angle 90 degree angle of two angle and angle between 90 and 180 degree

7 0

2 years ago

What is 0.019 written as a percent? A. 0.00019% B. 0.019% C. 0.19% D. 1.9%

Lesechka [4]

The correct option is d

7 0

3 years ago

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If the length of a rectangle is 3 and the width is 2, the length of the diagonal is a 13 b 5 c √5 d √13

trasher [3.6K]

Answer:

The length of the rectangle is 12cm and the area of the rectangle is 60cm2.

Explanation:

By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.

Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2

52+b2=132

25+b2=169

25−25+b2=169−25

b2=144

√b2=√144

b=±12

Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.

The area of a rectangle is given by multiplying the width by the length.

A=(5cm)(12cm)

A=60cm2

3 0

3 years ago

The diagram below shows part of the graph of the quadratic function f(x)=a(x-h)(x-k) with the condition h<k. Point P is the m

Valentin [98]

Answer:

see explanation

Step-by-step explanation:

(a)

The zeros are x = 1 and x = 5, thus the factors are (x - 1) and (x - 5)

f(x) = a(x - 1)(x - 5)

To find a substitute (0, 15), the coordinates of the y- intercept into the equation.

15 = a(0 - 1)(0 - 5) = a(- 1)(- 5) = 5a ( divide both sides by 5)

a = 3

Thus h = 1, k = 5, a = 3 and

f(x) = 3(x - 1)(x - 5)

(b)

The axis of symmetry is a vertical line with equation x = c ( c is a constant )

The axis of symmetry passes through the midpoint of the zeros

x = $\frac{1+5}{2}$ = $\frac{6}{2}$ = 3

Equation of axis of symmetry is x = 3

(c)

The axis of symmetry passes through P, with x- coordinate x = 3

Substitute x = 3 into the function for corresponding value of y

f(3) = 3(3 - 1)(3 - 5) = 3(2)(- 2) = - 12

Coordinates of P = (3, - 12 )

6 0

4 years ago

Read 2 more answers