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3 years ago

You don’t even have to give the answer just please explain

Mathematics

2 answers:

Serga [27]3 years ago

6 0

Answer: The slope is $\frac{1}{2}$ .

Here is a visual explanation when you use a graph instead of ordered pairs:

jenyasd209 [6]3 years ago

3 0

Answer:

1/2

Step-by-step explanation:

remember that the formula for the slope of a line is

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

where m is the slope, and the x and y variables are the x-y coordinates of two points. Choose two points on the line:

Point 1 : (-1,3) and Point 2 : (1,4)

Plug in your values:

$m=\frac{4-3}{1-(-1)}$

$m=\frac{1}{2} \\$

So the slope of this line is 1/2 !

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You are planning to make an open rectangular box from a 25-in.-by-49-in. piece of cardboard by cutting congruent squares from

Darya [45]

Answer:

The dimensions of the box are 38.48 x 14.48 x 5.26 in.

Step-by-step explanation:

We will have a piece of cardboard with squares of side x cut from the corners to make a open box.

The volume of the box can be written as:

$V=A\cdot B\cdot x\\\\V=(49-2x)\cdot (25-2x)\cdot x\\\\V=x\cdot (4x^2-2x*(49+25)+49*25)\\\\V=4x^3-148x^2+1225x$

To calculate the maximum volume, we derive and equal to zero

$dV/dx=12x^2-296x+1225=0$

We apply the quadratic equation to know the roots of the equation

$x=\frac{-b\pm\sqrt{b^24ac}}{2a}\\\\x=\frac{296\pm\sqrt{296^2-4*12*1225}}{2*12} =\frac{296\pm\sqrt{87616-58800}}{24}= \frac{296\pm\sqrt{28816}}{24}\\\\x=\frac{296\pm169.75}{24}= 12.333\pm7.073\\\\\\x_1=12.333+7.073=19.406\\\\x_2=12.333-7.073=5.26$

The first solution is physically impossible, as the side that is cut would be bigger than 25.

So the real solution is for x=5.26 in.

Then, the dimensions of the box are:

$A=49-2x=49-2*5.26=49-10.52=38.48\\\\B=25-2x=25-10.52=14.48$

8 0

3 years ago

Using the formula C=2×n×r find the circumference of a circle of radius 5cm (n=3.14)

GalinKa [24]

The answer is 31.4 just do 3.14 times 5 times 2

4 0

3 years ago

Read 2 more answers

What is 50% of 42.88

djverab [1.8K]

To find 50 percent, you multiply the number by 0.5 (for 30%, 0.3 etc.).
42.88 * 0.5 = 21.44

5 0

3 years ago

Read 2 more answers

Which of the following quadratic regression equations best fits the data shown below?

bazaltina [42]

Answer:

Step-by-step explanation:

In order to do this, you have to know how to use your calculator's regression equation function.

First enter in the data. Hit "stat" then 1:Edit and enter all the x values into L1. After each value, hit enter. When you're done with the x list, arrow over to L2 and enter in all the y-values. If there are already values there you need to clear, arrow up to highlight L1, hit "clear", then "enter" and the values will disappear. Do that for both lists if you need to.

After the data is listed in L1 and L2, hit "stat" again and arrow over to "Calc". Hit 5:QuadReg. If you have a TI 83, your equation will be there for you. If you have a TI 84, you'll need to arrow down to "calculate" to get the equation. Regardless, the equation is

$y=3.48x^2+1.22x+3.44$ , the last choice in your options.

5 0

3 years ago

Please help me on this problem

Orlov [11]

Answer:

The Proof with Figure, Statement and Reasons is given below.

Step-by-step explanation:

Given:

∠DAF ≅ ∠EBF,

DF ≅ FE

Prove:

Δ ADF ≅ Δ BFE

Proof:

Statements Reasons

a. ∠DAF ≅ ∠EBF ...........................Given

48. ∠DFA ≅ ∠EFB ..........................Vertical Angles are congruent

DF ≅ FE ...........................49. Given

50. Δ ADF ≅ Δ BFE .........................By Angle-Angle-Side test

6 0

3 years ago