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nevsk [136]
2 years ago
15

A rectangle has an area 12cm². If the length of the rectangle is ( x + 1 )cm and the width is x cm, find the possible value(s) o

f x . Show the working please thank you
Mathematics
2 answers:
Komok [63]2 years ago
5 0
X can be 3 because:
(3+1)(3)=(4)(3)=12
I believe that is the only possible value for x.
Good luck to you!
dimaraw [331]2 years ago
5 0

Answer:

x can be 3 or (-4) because

area of a rectangle= length × breadth

12=x×(x+1)

12=x^2+x

x^2+x-12=0

x^2 +4x-3x-12=0

x(x+4)- 3(x+4)=0

(x+4)(x-3)=0

(x+4)=0 or (x-3)=0

Therefore, x=(-4) or 3

Since, the dimensions of a rectangle cannot be negative, x=3.

Therefore, the width of a rectangle(x)=3 cm,

the length of a rectangle(x+1)=(3+1)=4 cm

Pls mark me as the brainliest.

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Identify the equation of the circle that has its center at (16, 30) and passes through the origin
Veronika [31]

To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:

(x - 16)^2 + (y - 30)^2 = 1156

Equation of a circle:

The equation of a circle with center (x_0, y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

Center at (16, 30)

This means that x_0 = 16, y_0 = 30

Thus

(x - 16)^2 + (y - 30)^2 = r^2

Passes through the origin:

We use this to find the radius squared, as this means that x = 0, y = 0 is part of the circle. Thus

(x - 16)^2 + (y - 30)^2 = r^2

(0 - 16)^2 + (0 - 30)^2 = r^2

r^2 = 16^2 + 30^2 = 1156

Thus, the equation of the circle is:

(x - 16)^2 + (y - 30)^2 = 1156

For another example to find the equation of a circle, you can look at brainly.com/question/23719612

4 0
3 years ago
Which expression shows a sum of three terms.
vladimir1956 [14]

Answer:  B) 3+y+3

This can be simplified to y+6, but the current un-simplified expression has 3 terms.

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

Explanation:

Terms are separated by a plus sign. If you had something like 10x-5y, then you would write that as 10x+(-5y) showing that 10x and -5y are the two terms.

Choices A and C, xy and 6y respectively, have one term each. They are considered monomials. Mono = one, nomial = name.

Choice D is the product of the constant 3 and the binomial y+3. Binomials have two terms.

Only choice B has three terms, though we can simplify it down to two terms. I have a feeling your teacher doesn't want you to simplify it.

5 0
3 years ago
Someone help me please​
Svetradugi [14.3K]
Favourite starts fifth letter down farthest left column

Still working on the others
7 0
3 years ago
PLEASE HELP! :)<br> IM SUPER BEHIND ON MY MATH AND NEED HELP!<br> ANGLES!
Pie

Answer:

1. X=95

2. M=60

3.R=70

4.Q=75

5.A=75

6.B=105

7. ∠ACB = ∠BCA

8. ∠DEG = 75

9.∠FOE = 64 ∠COF = 116

10. ∠COE = 137 ∠DOE= 43

11.  ∠WXZ = 149

12. ∠RSZ = 99.5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the equation in slope-intercept from of the line that passes through the point (3, 1) and is parallel to the line repres
Murljashka [212]
Parallel = same slope
Y = 2.4x + b
Plug in the point to find b
1 = 2.4(3) + b
1 = 7.2 + b
b = -6.2
Final equation: y = 2.4x - 6.2
3 0
2 years ago
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