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2 years ago

What is the value of the first term in the following arithmetic sequence? -9,-2,5,12

Mathematics

1 answer:

Soloha48 [4]2 years ago

3 0

Answer:

Step-by-step explanation:

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Find the distance between the two points in simplest radical form.<br> (-9,8) and (-3, -1)

dmitriy555 [2]

Answer:

The distance between (-9, 8) and (-3, -1) will be:

$\:d=3\sqrt{13}$ units

Step-by-step explanation:

Given the points

(-9, 8)

(-3, -1)

Finding the distance between (-9, 8) and (-3, -1)

$d\:=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-3-\left(-9\right)\right)^2+\left(-1-8\right)^2}$

$=\sqrt{\left(-3+9\right)^2+\left(-1-8\right)^2}$

$=\sqrt{36+81}$

$=\sqrt{117}$

$=3\sqrt{13}$ units

Therefore, the distance between (-9, 8) and (-3, -1) will be:

$\:d=3\sqrt{13}$ units

7 0

2 years ago

What equation describes the circle that is centered at (8, 3) and has a radius of 9

Sloan [31]

Answer:

Step-by-step explanation:

The general equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius

Given the centre (8, 3) and the radius of 9, the equation of the circle will be;

(x-a)²+(y-b)² = r²

(x-8)²+(y-3)² = 9²

(x-8)²+(y-3)² = 81

hence the required equation is (x-8)²+(y-3)² = 81

5 0

2 years ago

Need help please. I don't know

Natali [406]

$f(3)=3+1=4$

6 0

3 years ago

2 people walk 3 meters each opposite direction They both turn right & walk 4 meters each What is distance between them now

Andrej [43]

I think it would be 8 meter

3 0

2 years ago

What is the midpoint

antoniya [11.8K]

<u>Answer:</u>

(0.5, -0.5)

<u>Step-by-step explanation:</u>

We are given a line segment on the graph with two known points (ending points) and we are to find its mid point.

We know the formula for the mid point:

$Midpoint = ( \frac {x_1 + x_2} {2} ,\frac {y_1 + y_2} {2} )$

Substituting the coordinates of the given points in the above formula:

Mid point = $(\frac {5 + (-4) } {2} , \frac { 6 + (-7)} {2} )$ = (0.5, -0.5)

8 0

3 years ago

Read 2 more answers