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kicyunya [14]
3 years ago
15

Note: Figure is not drawn to scale.

Mathematics
1 answer:
Vadim26 [7]3 years ago
4 0
A. If you disassemble the shapes and add the numbers, you can get the answer :).
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I need help desperately! Could someone explain this math concept for me please?
Nana76 [90]

The inequality that represents the range of k so that inequality 1 has real solution is -3 < k < 5

<h3>How to determine the range?</h3>

<u>Inequality 1</u>

x^2 + (k + 1)x + k + 4 > 0

The discriminant is calculated using

D = b^2 - 4ac

So, we have:

D = (k + 1)^2 - 4 * 1 * (k + 4)

Evaluate

D = k^2 + 2k + 1 - 4k - 16

This gives

D = k^2- 2k - 15

Factorize the equation

D = (k+ 3)(k -5)

Solve for k

k = -3 and k = 5

Express the k values as inequalities

-3 < k < 5

<u>Inequality 2</u>

The inequality cannot be read, because of the image quality

Read more about discriminant at:

brainly.com/question/7784687

#SPJ1

4 0
2 years ago
What what are the rules for addition and subtraction with numbers in scientific notation?
andriy [413]
Addition and Subtraction in Scientific Notation. A number written in scientific notation is written as the product of a number between 1 and 10 and a number that is a power of 10. That is, it is written as a quantity whose coefficient is between 1 and 10 and whose base is 10.
5 0
3 years ago
Write the phrase as an algebraic equation: A number m decreased by 9 is 12.​
finlep [7]

Answer:

9 - m = 12

Step-by-step explanation:

9 - m = 12

mark as brailnlest:)

6 0
3 years ago
X+y=5<br> x×y=6<br> Solve simultaneously with steps
igor_vitrenko [27]

Answer:

(3, 2), (2, 3)

Step-by-step explanation:

x + y = 5

xy = 6

Solve the first equation for x.

x = 5 - y

Substitute 5 - y for x in the second equation.

xy = 6

(5 - y)y = 6

5y - y² = 6

y² - 5y + 6 = 0

Factor.

(y - 2)(y - 3) = 0

y - 2 = 0  or y - 3 = 0

y = 2  or y = 3

Now substitute 2 for y in the first equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

One solution is x = 3; y = 2, or (3, 2).

Now substitute 3 for y in the first equation and solve for x.

x + y = 5

x + 3 = 5

x = 2

Another solution is x = 2; y = 3, or (3, 2).

Answer: (3, 2), (2, 3)

7 0
2 years ago
Subtract <br><br> a2-b2 from a2 +b2 <br>​
lisabon 2012 [21]

Answer:

2b^2

Step-by-step explanation:

according to the question equation is

(a^2 + b^2 ) - (a^2 - b^2)

a^2 + b^2 - a^2 + b^2

plus a square and minus a square gets cancel

b^2 + b^2

since they are like terms they can be added

2b^2

3 0
3 years ago
Read 2 more answers
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