Bob was thinking of a number between 5 and 15 that when squared and added to 23 equals the next number's square. What is the number?

Answers

Answer 1
Answer:

The value of number will be;

⇒ 11

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Bob was thinking of a number between 5 and 15 that when squared and added to 23 equals the next number's square.

Now,

Let the value of number = x

Hence, We can formulate;

⇒ x² + 23 = (x + 1)²

Solve for x as;

⇒ x² + 23 = x² + 1 + 2x

⇒ x² - x² + 23 - 1 = 2x

⇒ 22 = 2x

⇒ x = 22/2

⇒ x = 11

Thus, The value of number will be;

⇒ 11

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Answer 2
Answer:

Answer:

11

Step-by-step explanation:

(11)² = 121

121+23 = 144

(12)² = 144


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How many centimetres is 5'3

Answers

There are 30.48 centimeters in 1 foot or 2.54 centimeters in 1 inch. So let's make 5'3 into inches =63inches. 63 X 2.54 = 160.02. There are 160.02 centimeters in 63 inches or 5'3 :)

Y=kx+b
A (1,-2) B (-2,-8)
Linear functions!

Answers

k=slope
b=y intercept

find slope
slope=(y2-y1)/(x2-x1)

(x,y)
(1,-2)
(-2,-8)

x1=1
y1=-2
x2=-2
y2=-8

slope=(-8-(-2))/(-2-1)=(-6)/(-3)=2/1=2



k=2
subsitute
y=2x+b
subsitute one point
(1,-2)
x=1,y=-2

-2=2(1)+b
-2=2+b
subtract 2
-4=b


y=2x-4

LC)Variable c is 9 more than variable w. Variable c is also 3 less than variable w. Which pair of equations best models the relationship between c and w? (5 points) c = w – 9
c = 4w + 3
c = w + 9
c = w – 3
w = c + 9
w = c – 3
w = c – 9
w = 4c + 3

Answers

c=w+9 and c=w-3

w=c-9 and w=c+3

These pairs of equations are best relationship models between c and w.

How to find pair of best relationship model for c and w?

We have given,

Variable c is 9 more than variable w which can be written as

c=w+9

It can also be written as :w=c-9

It is also given that,Variable c is also 3 less than variable w, which can be written as:

c=w-3

It can also be written as: w=c+3

This way our pair of relationship between c and w are:

c=w+9 and c=w-3

w=c-9 and w=c+3

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Variable C is 9 more than variable w.

C = w + 9
w = C - 9

Variable C is 3 less than variable W.

C = w - 3
w = C + 3

What is 144 over 324 simplified

Answers

144/324=12/27=4/9

The answer in simplified is 4/9 hope this helps

enrollment in the ski/snowboard club increased by 30% this year. there are now 182 students in the club. how many students were there last year?

Answers

Increasing by 30% results in multiplication by 130/100, or 13/10.  Setting the original amount of students to x, we write the equation:

13x/10=182

We multiply by 10 for a result of:

13x=1820

Dividing by 13, we have:

x=140

Thus, 140 students were in the club last year.

A triangle cannot have more than one obtuse angle true or false

Answers

Answer:

True

Step-by-step explanation:

According to the Angle Sum property of triangle, Sum of all interior of a triangle is equal to 180°.

If there is more than one obtuse angle in a triangle then Sum of both obtuse angle exceed the maximum sum of all three angle of a triangle. Which contradict the Angle Sum Property of triangle.

So, It is impossible to have a triangle with two obtuse angles.

Only possible is a triangle with 1 obtuse angle with 2 acute angles.

Therefore, Answer for given statement is TRUE

The answer is true;
 because if a triangle had more than one obtuse angle it would become like a rhombus or something else so it is not possible to remain a triangle and have more than one obtuse angle c: