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Anika [276]
2 years ago
6

What is the factored form of x^2 - 4x - 5?

Mathematics
1 answer:
ser-zykov [4K]2 years ago
4 0

we are given

x^2-4x-5

we can use formula

x^2-(a+b)x+ab=(x-a)(x-b)

so, we have

a+b=4

ab=-5

now, we can solve for a and b

and we get

a=5, b=-1

now, we can plug it in formula

x^2-4x-5=(x-5)(x+1) ............Answer

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Solve for x pls:<br> Options:<br> a) -11 <br> b) 80 <br> c) 51 <br> d) -14
myrzilka [38]

Answer:

x = -11

Step-by-step explanation:

Let the Triangle be named 'ABC'

In Triangle ABC,

∠A = x + 51

∠B = 80               (Intersecting lines, Vertically opposite Angles)

∠C = 60               (Intersecting lines, Vertically opposite Angles)

∠A + ∠B + ∠C = 180  (Sum of angles of Triangle = 180)

x + 51 + 80 + 60 = 180

=> x + 191 = 180

=> x = 180 - 191

=> x = -11

4 0
2 years ago
Read 2 more answers
a goat tethered to a stake by a rope has grazed the meadow over an area of 12.56msqare around it stretching the rope. i) what is
Nikolay [14]

Answers:

length of rope = 2 meters

perimeter of meadow = 12.56 square meters

=========================================================

Explanation:

Assuming there are no structures (buildings, fences, etc) to get in the way of the goat, this means the goat's area that it can roam is a circle with radius r

The area of the circle is pi*r^2 which is equal to 12.56 square meters

pi*r^2 = 12.56

3.14*r^2 = 12.56

r^2 = 4

r = sqrt(4)

r = 2

The radius of the circle is 2 meters. This is the length of the rope. If the goat goes out as far as it can go, and tries to move left/right, then it will trace out a circle of radius 2. This is assuming the rope is kept fully taut the entire time.

The perimeter of the circle is the same as the circumference

circumference = 2*pi*r

circumference = 2*pi*2

circumference = 4*pi

circumference = 4*3.14

circumference = 12.56

The circumference and area are the same because r^2 = 4 and 2*r = 4 when r = 2. For any other positive r value, the area and circumference will be different values.

So in short, if a friend says that the area of a circle is the same as its perimeter, then you can immediately conclude the radius is 2.

Side note: throughout all of this solution, I used the approximation pi = 3.14 though pi has more decimal digits

7 0
3 years ago
Read 2 more answers
S Rob and Bob together scored 88
Paul [167]
Rob scored 34 points. 88-54=34
3 0
3 years ago
1 Select the correct answer. Kalid simplified a polynomial expression as shown. (6x3 + 8x2 − 7x) − (2x2 + 3)(x − 8) step 1 (6x3
Eva8 [605]

Answer:

So, the step1 is correct.

Step-by-step explanation:

The expression is

(6 x^3 + 8 x^2 - 7 x)-(2x^2 + 3)(x- 8)\\\\(6 x^3 + 8 x^2 - 7 x) - (2x^3 - 16  x^2 + 3 x - 24)\\\\6 x^3 + 8 x^2 - 7 x - 2 x^3 - 16 x^2 + 3 x - 24\\\\4 x^3 - 8 x^2 - 4 x - 24

So, the step 1 is correct.

3 0
3 years ago
Pls give an answer to <br> 7 (-2x+4)=-4x
Leto [7]
2.8

-14x+28=-4x
10x=28
X=2.8


Mark brainliest please
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2 years ago
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