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3 years ago

What is the slope of the line?

Mathematics

2 answers:

sergeinik [125]3 years ago

7 0

Answer:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

m = slope

(x_1, y_1) = coordinates of first point in the line

(x_2, y_2) = coordinates of second point in the line

In-s [12.5K]3 years ago

5 0

Answer:

1/4

Step-by-step explanation:

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Find the value of the lesser root of x2 - 7x + 12 = 0.<br> A) -3 <br> B) -1 <br> C) 1 <br> D) 3

kvv77 [185]

The answer to your question is D) 3

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3 years ago

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If the line segment AB is on a number line, and point A is at 6 and Point B is at 13, then the length of AB is ____.

Katarina [22]

Answer:

Step-by-step explanation:

The length of AB is the distance between A and B which is B-A -> 13-6= 7

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2 years ago

Please answer this correctly

Stolb23 [73]

Answer:

502.4 square inches

Step-by-step explanation:

To find the area of the shaded region, you first need to find the area of the smaller circle with diameter 12, and then subtract that from the area of the larger circle. Since the diameter of a circle is twice the radius, the radius of the smaller circle is 6, and its area is therefore:

$\pi \cdot 6^2 = 3.14\cdot 36=113.04$

The area of the larger circle, which has radius 6+8=14, is:

$\pi \cdot 14^2= 3.14 \cdot 196=615.44$

Subtracting the area of the smaller circle from his, you get an area of 502.4 square inches for the shaded area. Hope this helps!

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4 years ago

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The mass of the sphere is 800 lbs. Find the density of the sphere to the nearest tenth.

AURORKA [14]

Answer:

7.1 lbs / ft^3

Step-by-step explanation:

In this question, we are asked to calculate the density of the sphere in the diagram.

Firstly, to calculate the density , we apply a mathematical formula.

Mathematically, density = mass/volume

We have the mass already from the question but we will need to calculate what the volume is.

Mathematically, the volume of a sphere = 4/3 * pi * r^3

From the diagram, we can see that the radius of the sphere is 3 ft. Plugging this into the equation of the volume of a sphere, we have;

4/3 * 22/7 * 3^3

= 4/3 * 22/7 * 27

= 113.143 ft^3

Now, we substitute the volume into the density equation;

Recall, density = mass/volume

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3 years ago

What is d of the arithmetic sequence for which a5=24 and a9=40?

baherus [9]

In arithmetic sequences, we know that they always differ by the same amount. That mean we can clearly construct them by incrementing our common differences. Let $a_1=s$ , that means going from 1 to 5, 1 non inclusive, would give us 4 more common differences, and going from 5 to 9, 5 non inclusive, would give us 4 again. That means:

$a_5=s+4d\\ a_9=s+8d$

Giving a_5 and a_9 numerical values then solving for d:

$24=s+4d\\ 40=s+8d \implies\\ 16=4d \implies\\ d=4$

I subtracted the top equation from the bottom one if that isn't clear. With that, we are done.

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4 years ago