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3 years ago

What is the slope of the street line through points (2,10) and (5,8)

2 answers:

Crank3 years ago

6 0

Y=mx+b is the equation of a linear function, which is what this question is asking.

since you have 2 points, you can use this equation for solve for "m", the slope

y2-y1/x2-x1

this would be 10-5/8-2 in this case, which is 5/4
you now have 5/4 as your slope
you can then take one of your points, and substitute in for the original y=mx+b equation
8 = 5/4 * 5 + b
8 = 25/4 + b                multiply the fractions together (multiply across)
32 = 25 + b     (multiply both sides by 4 to eliminate the fraction
7 = b         ( subtract 25 from both sides )

Archy [21]3 years ago

3 0

The slope is -2/3. I hope this help c:

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A basketball court is being painted. The entire section below will be painted blue. Determine how many square feet of paint will

earnstyle [38]

Answer:

145.12 ft squared will be painted blue.
So the answer is B.

Explanation:

The area of the rectangle is 120 ft2 because 8 ft x 15 ft = 120 ft2

The area of the semi-circle is
because 3.14 x 4 (the radius) squared (or 16) is 50.24, then you divide it by 2 since it’s a semi-circle. 50.24 divided by 2 is 25.12.

Then you add the areas:

120 ft squared + 25.12 ft squared = 145.12 ft squared

6 0

3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

velikii [3]

Answer:

The maximum value= 36

Minimum value = - 36

Step-by-step explanation:

Given that

f(x, y, z) = 8 x + 8 y + 4 z

h(x,y,z)=4 x² + 4 y² + 4 z² - 36

From Lagrange multipliers

Δf = λ Δh

Δf = < 8 ,8 , 4>

Δh = < 8 x ,8 y , 8 z>

Δf = λ Δh

< 8 ,8 , 4> = < 8 λ x ,8 λ y , 8 λ z>

8 = 8 λ x -------------1

8 = 8 λ y ---- ------2

4 = 8 λ z ----------------3

From equation 1 ,2 and 3

Now by putting the value of x,y and z in the following equation

4 x² + 4 y² + 4 z² = 36

$4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{(2\lambda)^2 }=36$

$\dfrac{4}{\lambda^2 }+ \dfrac{4}{\lambda^2 }+ \dfrac{1}{\lambda^2 }=36$

So the value of λ is

$\lambda =\pm \dfrac{1}{2}$

When λ = 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= 2 , y = 2 , z=1

f(x, y, z) = 8 x + 8 y + 4 z

f(2, 2, 1) = 8 x 2 + 8 x 2 + 4 x 1

f(2, 2, 1) =36

When λ = - 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= - 2 , y = - 2 , z= - 1

f(x, y, z) = 8 x + 8 y + 4 z

f(-2, -2, -1) = 8 x (-2) + 8 x (-2) + 4 x (-1)

f(-2, -2, -1) = - 36

The maximum value= 36

Minimum value = - 36

7 0

3 years ago

Read 2 more answers

Please Help!!!!!!!!!

marissa [1.9K]

124 square units
you just have to count the top, bottom, and a side and times by 2

4 0

3 years ago

What is the area of the polygon ABCDE?

Setler [38]

The answer is 73.5

To make it a lot easier split the shapes into a rectangle and triangle.
The rectangle is a tad easier because the measurements are given here.

5 x 12 = 60 (rectangle area)

To find the triangle find the base then height. The base is 3cm and the height is 9cm (shown above)

9 x 3 = 27
Divide that by 2 because it's a triangle and you get 13.5.

Add those two numbers and voila you have your answer of 73.5.

6 0

4 years ago

(5x+1)3=15x3 que Propiedad pertenece

Aneli [31]

Answer:

Step-by-step explanation:

1) Reagrupar términos.

3(5x + 1) = 15x^3

2) Divide ambos lados por tres.

5x + 1 = 5x^3

3) Mueva todos los términos a un lado.

5x + 1 - 5x^3 = 0

4) No se encontró ninguna raíz algebraicamente. Sin embargo, las siguientes raíces se encontraron por métodos numéricos.

x=−0.878886,−0.209148,1.088033

6 0

2 years ago