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stiv31 [10]
3 years ago
13

Which system of inequalities has no solution?

Mathematics
1 answer:
Luda [366]3 years ago
4 0

Answer:

i think c

Step-by-step explanation:

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Select all equations that have two solutions. a x^2=16 b 4x^2=0 c x^2=-16 d 3x+2=14 e x^2-1=24 f (x+8)(x-8)=0
never [62]

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a )

{x}^{2}  = 16

x = ± \: 4

Two solutions.

_________________________________

b )

4 {x}^{2}  = 0

x = 0

One solution .

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c )

{x}^{2}  =  - 16

No  \:  \: solution.

_________________________________

d )

3x + 2 = 14

x = 4

One solution.

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e )

{x}^{2}  - 1 = 24

{x}^{2}  = 25

x =± \: 5

Two solutions.

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f )

(x + 8)(x - 8) = 0

x =  - 8 \:  \: or \:  \: x = 8

Two solutions .

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5 0
3 years ago
One leg of a right triangle has a length of 5m. The other sides have lengths that are consecutive integers. Find these lengths.
pickupchik [31]

The lengths of the other two sides of the right triangle are 12 and 13

<h3>Pythagorean theorem </h3>

From the question, we are to determine the lengths of the other sides of the triangle

From the given information,

The other sides have lengths that are consecutive integers

Thus,

If the length of the other side is x

Then,

The hypotenuse will be x + 1

By the <em>Pythagorean theorem</em>, we can write that

(x+1)² = x² + 5²

(x+1)(x+1) = x² + 25

x² + x + x + 1 = x² + 25

x² - x² + x + x = 25 - 1

2x = 24

x = 24/2

x = 12

∴ The other leg of the right triangle is 12

Hypotenuse = x + 1 = 12 + 1 = 13

Hence, the lengths of the other two sides are 12 and 13

Learn more on Pythagorean theorem here: brainly.com/question/4584452

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7 0
2 years ago
If f(x)=2+8, what is f(-1.8)? <br><br> A. 4<br> B. 6<br> C. 10<br> D. 12
kobusy [5.1K]
F(x)=2x+8
F(-1.8)=2(-1.8)+8
f(-1.8)=-3.6+8
f(-1.8)=4.4
3 0
4 years ago
Read 2 more answers
Which does not represent a way to show 5+5+5+5+5 with multiplication?
Marizza181 [45]

Answer:

probably square root of 5

5 0
3 years ago
The sum of two numbers is 39. The larger number is 15 more than the smaller number. what are the numbers
Alborosie
The number smaller are 3
5 0
3 years ago
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