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3 years ago

Dan has a board that is 8 3/4 feet long. He cuts off 4 5/6 feet and says he has 4 1/12

Mathematics

2 answers:

lawyer [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Ilia_Sergeevich [38]3 years ago

3 0

Answer:

Step-by-step explanation:

The answer to this problem is 3 11/12.

1.8 3/4= 8 9/12

2.4 5/6 = 4 10/12

if you minus the two numbers, you get 3 11/12.

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Find the distance between the points (-3, 11) and (5,5). O 10 2/10 o 2.17

german

Answer: d = 10

Step-by-step explanation:

The formula for calculating distance between two points is given by :

d = $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

$x_{1}$ = -3

$x_{2}$ = 5

$y_{1}$ = 11

$y_{2}$ = 5

substituting the values , we have

d = $\sqrt{(5-(-3))^{2}+(5-11)^{2}}$

d = $\sqrt{(5+3)^{2}+(-6)^{2}}$

d = $\sqrt{(8)^{2}+(-6)^{2}}$

d = $\sqrt{64+36}$

d = $\sqrt{100}$

d = 10

4 0

3 years ago

Read 2 more answers

Find the minimum value of the function f(x)=x^2+5x-6

mash [69]

<h3>Explanation</h3>

Method 1 (Formula)

$\begin{cases}h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{2a} \end{cases}$

The vertex of Parabola is the maximum/minimum point depending on the value of a.

Find Vertex

h-value

$h = - \frac{5}{2(1)} \\ h = - \frac{5}{2}$

k-value

$k = \frac{4(1)( - 6) - {(5)}^{2} }{4(1)} \\ k = \frac{ - 24 - 25}{4} \\ k = \frac{ - 49}{4} \\ k = - \frac{49}{4}$

The minimum value is the value of k. Therefore the minimum value is - 49/4 at x = -5/2.

Method 2 (Derivative)

This is Calculus method. We simply differentiate the function then substitute y' = 0.

Differentiate Function

$f'(x) = 2 {x}^{2 - 1} + {5x}^{1 - 1} - 0 \\ f'(x) = 2x + 5$

Substitute f'(x) = 0

$0 = 2x + 5 \\ - 5 = 2x \\ - \frac{5}{2} = x$

Substitute x = -5/2 in the original equation.

$f(x) = {( - \frac{5}{2} )}^{2} + 5( - \frac{5}{2} ) - 6 \\ f(x) = \frac{25}{4} - \frac{25}{2} - 6 \\ f(x) = \frac{25}{4} - \frac{50}{4} - \frac{24}{4} \\ f(x) = \frac{25}{4} - \frac{74}{4} \\ f(x) = - \frac{49}{4}$

<h3>Answer</h3>

 $\sf{the \: \: minimum \: \: value \: \: is \: \: - \frac{49}{4} \: \: at \: \: x = - \frac{5}{2} }$ 

4 0

3 years ago

1/4x + 2/3y = 5

Ede4ka [16]

C and D because I just know

6 0

3 years ago

1. Solve and show your work for each question. (a) What is 0.24 repeating expressed as a fraction in simplest form? Show your wo

expeople1 [14]

0 = 0/1
0.25 = 1/4
0.23809523809523808 = 5/21
0.24 = 6/25

8 0

4 years ago

What is the graph of f(x) = 2x2 + 1

OlgaM077 [116]

Slope=0
y-intercept=5

7 0

3 years ago