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scZoUnD [109]
3 years ago
8

Factor completely. y2+6y+8

Mathematics
2 answers:
zloy xaker [14]3 years ago
4 0
If you can't see the picture the answer is: (y+4)(y+2).

Hope this helps, and May the Force Be With You!
-Jabba

Stolb23 [73]3 years ago
4 0

Answer: The answer is (y+4)(y+2).

Step-by-step explanation: The given polynomial expression is

E=y^2+6y+8.

We are given to factor the above polynomial expression completely. For that we need to find two numbers with sum 6 and product 8.

The factorisation is as follows:

E\\\\=y^2+6y+8\\\\=y^2+2y+4y+8\\\\=y(y+2)+4(y+2)\\\\=(y+4)(y+2)..

Hence, factorised.

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Find x when f(x)=1 . (These means find the input that gives an output of 1.)<br><br> f(x)=1/x-2
Andreyy89

Answer:

x = 1/3

Step-by-step explanation:

1 = 1/x -2

add 2 to both sides

3 = 1/x

x = 1/3

5 0
2 years ago
Greg and Erin start at the same point and begin running in different directions. Greg is running east at a speed of 7 miles per
AveGali [126]

Answer: The time at which the distance between the two is 150 miles is 1.3 hr.

Step-by-step explanation:

Step 1: Sketch the problem as shown in the attached image.

The problem can be solved using Pythagoras theorem since the sketch is a right angled triangle.

It follows the equation x² + y² = 15².

The distance covered by Greg is given by <em>x mi</em>, and that of Erin is given by <em>y mi</em>.

Step 2: To derive the distance covered by Erin and Greg, we use the formula <em>Speed = distance ÷ time.</em>

Which by cross-multiplying gives <em>distance = speed × time</em>.

Let time taken to cover the distance be <em>t h</em>.

Given that Speed of Erin is 9 mph and that of Greg is 7 mph.

Hence, distance covered by Greg, x = 7 × t = 7t.

Distance covered by Erin, y = 9 × t = 9t.

Step 3: Insert the terms x and y into the Pythagoras equation x² + y² = 15² and solve for <em>time t.</em>

(7t)² + (9t)² = 15²

49t² + 81t² = 225

(49 + 81)t² = 225

      t² = 225/(49 + 81)

      t² = 225/130

      t² = 1.730769231

       t = √1.730769231

       t = 1.315587029

t = 1.3hr

Hence the time at which the distance between the two is 150 miles is 1.3 hr.

4 0
3 years ago
Prove that <img src="https://tex.z-dn.net/?f=cos%209x-cos%205x%2Fsin17x-sin3x%3D-sin2x%2Fcos10x" id="TexFormula1" title="cos 9x-
maria [59]
Cos9x - cos5x = -2sin2x.sin7x
sin17x - sin3x = 2sin7x.cos10x 
so f(x) = \frac{-2sin2x.sin7x}{2sin7x.cos10x} =\frac{-sin2x}{cos10x}

8 0
2 years ago
Number of comments got maxed out so here's another post.
suter [353]
That’s cool. i need p01nts so imma comment
7 0
3 years ago
3. Here is a diagram of a softball field:
Crank

a. Length of the fence around the field = perimeter of quarter circle = 892.7 ft.

b. The area of the outfield is about 39,584 sq. ft..

<h3>What is the Perimeter of a Quarter Circle?</h3>

Perimeter of circle = 2πr

Perimeter of a quarter circle = 2r + 1/4(2πr).

a. The length of the fence around the field = perimeter of the quarter circle fence

= 2r + 1/4(2πr).

r = 250 ft

Plug in the value

The length of the fence around the field = 2(250) + 1/4(2 × π × 250)

= 892.7 ft.

b. Size of the outfield = area of the full field (quarter circle) - area of the infield (cicle)

= 1/4(πR²) - πr²

R = radius of the full field = 250 ft

r = radius of the infield = 110/2 = 55 ft

Plug in the values

Size of the outfield = 1/4(π × 250²) - π × 55²

= 49,087 - 9,503

= 39,584 sq. ft.

Learn more about perimeter of quarter circle on:

brainly.com/question/15976233

4 0
1 year ago
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