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LiRa [457]
2 years ago
14

The area of a rectangle is x^2+2x-24 Which of the following could be one of the dimensions?

Mathematics
1 answer:
Leno4ka [110]2 years ago
3 0

Answer: (x-4)

Step-by-step explanation:

x^2 + 8x +15 is the area

x+5 is the length

x+3 is the width

(x+5)(x+3)=

x^2 + 3x +5x +15

x^2 +8x + 15

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The perimeter of a triangle is 57 centimeters. The longest side is 3 ​centimeter(s) less than the sum of the other two sides. Tw
Setler79 [48]
Let's say x is longest side, y is shortest side and z is the other side. So we have some equations such that

x+y+z=57 (by the first sentence)

x=(y+z) -3 (by the second sentence)

2y=x-15  (by the third sentence)

By the second equation, we have y+z=x+3 and if we use it in the first equation, then x+y+z=x+(x+3)=57. So x=27

Since x=27, if we use it in the third equation the we have 2y=x-15=27-15=12 then y=6

Therefore z=24


5 0
3 years ago
Find the zeros of the following<br> please solve step by step<br> 1. x³+9x²+26x+24=0
Vlad1618 [11]

Answer: -4, -3, -2

Step-by-step explanation:

By inspection, we know x=-2 is a root.

We can thus rewrite the equation as

(x+2)\left(\frac{x^3 + 9x^2 + 26x+24}{x+2} \right)=0\\\\(x+2)(x^2 + 7x+12)=0\\\\(x+2)(x+3)(x+4)=0\\\\x=-4, -3, -2

3 0
2 years ago
The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of th
kondaur [170]
L=16
W=21

Set up a systems of equations: 
x=length 
y=width 

xy=336
x+5=y

Use substitution to solve: 
x(x+5)=336
x^2+5x=336 

Solve using factoring: 
x^2+5x-336=0
(x-16)(x+21)=0
x=16 and x= -21 
Since length can't be negative, l=16 

To find width, plug length into the first equation: 
(16)y=336
y=21 

So...
L=16
<span>W=21</span>
7 0
3 years ago
Read 2 more answers
PLEASE HELP FAST!!
Oduvanchick [21]

Answer:

x = 4

Step-by-step explanation:

10 = -1/4 x + 11

10 - 11 = -1/4 x

-1 = - 1/4 x

x = 4

7 0
3 years ago
jill has not yet studied the angle measurement requirements to form a triangle. She begins to draw side AB as a horizontal segme
Fiesta28 [93]

Answer:

a. 45° and 135

The non-horizontal rays of ∠ and ∠ will not intersect to form a triangle; the rays will be parallel to each  other.

b. 45° and 45°

The non-horizontal rays of ∠ and ∠ will intersect to form a triangle

c. 45° and 145°

The non-horizontal rays of ∠ and ∠ will not intersect to form a triangle.

Step-by-step explanation:

Hope this helps

8 0
3 years ago
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