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3 years ago

Please help me solve e

Mathematics

2 answers:

Pepsi [2]3 years ago

4 0

The answer is A, positive slope because the line is going upwards, meaning that it’s positive.

irinina [24]3 years ago

3 0

Answer:

A. Positive Slope

Step-by-step explanation:

Positive Slopes have a line going up and to the right

Negative Slopes have a line going to the down and left

0 Slope is a straight horizontal line

Undefined Slope is a straight vertical line.

Hope this helps you along your way! :)

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A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2−x2. What are the dimensions of su

Paul [167]

Answer:

Step-by-step explanation:

Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

$y=2-x^2$

the parabola is open down with vertex at (0,2)

We can find that the rectangle also will be symmetrical about y axis.

Let the vertices on x axis by (p,0) and (-p,0)

Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation

Now width = $2-p^2$

Area = l*w = $2(2p-p^3)$

Use derivative test

I derivative = $2(2-3p^2)$

II derivative = $-12p$

Equate I derivative to 0 and consider positive value only since we want maximum

p = $\sqrt{\frac{2}{3} }$

Thus width= $\sqrt{\frac{2}{3} }$

Length = $2\sqrt{\frac{2}{3} }$

Width = $2-2/3 = 4/3$

3 0

3 years ago

Chloe is painting on a stretched canvas that has an area of 108 square inches. The length of the canvas is 12 inches. The width

Stolb23 [73]

Answer: Width of canvas = 9 inches

Area left for painting after painting the border = 70 square inches.

Explanation :

Since we have given that

Area of painting = 108 square inches

Length of canvas = 12 inches

As we know that

$\text{Area of rectangle} = length\times breadth$

$108=12\times breadth\\\\\frac{108}{12}=breadth\\\\9=breadth$

So, breadth of canvas = 9 inches .

Now, Chloe paints a 1 inch wide blue border on the canvas.

$\text{So, remaining length left for painting after painting the border} = 9-1-1=9-2=7\text{ inches}$

$\text{ Remaining breadth left for painting after painting the border }= 12-1-1=12-2= 10\text{ inches}$

$\text{So , area of remaining portion }= length\times breadth \\\\ \text{ area of remaining portion }=7\times 10\\\\\text{ area of remaining portion }=70 \text{ square inches}$

Hence, remaining area = 70 square inches .

6 0

3 years ago

Given: -7(x+2)+4x=6(2x-4); Prove x=2/3

Klio2033 [76]

Answer:

see below

Step-by-step explanation:

-7(x+2)+4x=6(2x-4)

Distribute

-7x -14 +4x = 12x -24

Combine like terms

-3x-14 = 12x-24

Add 3x to each side

-3x-14+3x = 12x-24+3x

-14 = 15x-24

Add 24 to each side

-14+24 = 15x -24+24

10 = 15x

Divide each side by 15

10/15 =15x/15

2/3 =x

7 0

3 years ago

I dont understand this

Yuliya22 [10]

Answer:

x intercepts there are three and y intercept in 0

Step-by-step explanation:

so f(x)=a(0+3)(x-2)^2(x-2)

-2=a(3)(4)(-2)

-2=a(-10)

a=5

rewrite

f(x)=5(x+3)(x-2)^2(x-2)

3 0

2 years ago

The slope of the line below is - 1. Write a point-slope equation of the line

LiRa [457]

Answer:

$\large\boxed{y-3=-(x-3)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

We have the slope m = -1 and the point (3, 3).

Substitute:

$y-3=-1(x-3)$

8 0

3 years ago