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2 years ago

Find the explicit formula for the sequence -29, -37, -45, -53,

Mathematics

2 answers:

yarga [219]2 years ago

6 0

Answer:

D) an = -8n - 21

Step-by-step explanation:

Let's plug 1 into each to see what we get.

A) -7-29 = -36 We can rule this out

B) -7-22=-29

C) 7-43=-36 We can rule this out

D) -8-21=-29

So, we have B and D that could still work.

Let's plug in 2 now.

B) -14-22=-36 We can rule this out

D) -16-21=-37

Plugging in 3 and 4 gives us -45, and -53.

barxatty [35]2 years ago

5 0

It’s a because Josh and him had 8907

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U(8, 9) and V(2, 5) are the endpoints of a line segment. What is the midpoint M of that line segment?

Pavel [41]

Answer:

The midpoint M is (5,7)

Step-by-step explanation:

$m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )$

U(8,9)

V(2,5)

m = [(8+2)/2 , (9+5)/2]

= [(10/2) , (14/2)]

= (5,7)

(Correct me if i am wrong)

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3 years ago

Amy is using a drawing program to complete a construction with which she is almost finished. Which construction is she completin

Vedmedyk [2.9K]

Given options : Two intersecting circles are drawn with a radius in each marked. the image will be linked.

Given options : An equilateral triangle inscribed in a circle

A square inscribed in a circle

A regular pentagon inscribed in a circle

A regular hexagon inscribed in a circle.

<u>Note. When we join an intersection point of two circles and centers of the circles it would form an equilateral triangle that would be inscribe inside a common portion of both circles..</u>

Therefore, an equilateral triangle inscribed in a circle would be correct option.

She is completing an equilateral triangle inscribed in a circle.

4 0

3 years ago

The vertices of a triangle are A(2,4),B(-1,-3),and C(3,6). Find the new vertices. Use the rule (x,y) >>>(x-3,y+5)to tra

Mama L [17]

Answer:

A(-1,9), B(-4,2) and C(0,11)

Step-by-step explanation:

The vertices of a triangle are A(2,4),B(-1,-3),and C(3,6).

To translate, we use the rule (x,y) >>>(x-3,y+5)

For Vertex A(2,4),

The new vertex is (2-3, 4+5)=(-1,9)

For Vertex B(-1,-3)

The new vertex is (-1-3,-3+5)=(-4,2)

For Vertex C(3,6)

The new vertex is (3-3,6+5)=(0,11)

After translation of Vertex A, B and C by the given rule, the new points are A(-1,9), B(-4,2) and C(0,11)

8 0

2 years ago

What is the radius of a circle given by equation x^2 + y^2 - 2x + 8y - 47 = 0

Lera25 [3.4K]

X^2 + y^2 - 2x + 8y - 47 = 0
x^2 + y^2 - 2x + 8y = 47
(x^2 - 2x) + (y^2 + 8y) = 47
(x^2 - 2(1)x) + (y^2 + 2(4)y) = 47
(x^2 - 2(1)x + 1^2) + (y^2 + 2(4)y + 4^2) = 47 + 1^2 + 4^2
(x - 1)^2 + (y + 4)^2 = 64 = 8^2
r=8

7 0

2 years ago

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What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the

schepotkina [342]

Lateral Area of a cylinder is ; 2πR.H

R=12 mm and H= 15 mm

Then LATERAL area = 2π(12)(15) =48π ≈ 150 mm²

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3 years ago