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2 years ago

Which inequality correctly matches the graph?

Mathematics

1 answer:

k0ka [10]2 years ago

4 0

Answer:

The inequality correctly matches the graph is -2 < x < 4 ⇒ B

Step-by-step explanation:

From the given figure

∵ There is a segment drawn from -2 to 4

∴ The starting point of the inequality is -2

∴ The ending point of the inequality is 4

∵ The endpoints of the segments are white circles (not shaded)

→ That means the signs of inequality without sign =

∴ The values of x are between -2 and 4

∴ The inequality is -2 < x < 4

∴ The inequality correctly matches the graph is -2 < x < 4

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Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x

charle [14.2K]

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

a = 5

b = x - 1

c = x

Step:1

Pythagorean theorem is,

$a^{2} + b^{2} = c^{2}$ ................................(1)

( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

From the given values the equation (1) becomes,

$5^{2} + (x-1) ^{2} = x^{2}$

( $(a-b)^{2} = a^{2} + b^{2} -2ab$ )

25 + ( $x^{2}$ + 1 - 2x ) = $x^{2}$

25 + 1 -2x = 0 ( ∵ Eliminate $x^{2}$ in both sides)

26 = 2x

x = 13

Step:2

From the values of x,

a = 5

b = ( 13 - 1 ) = 12

c = 13

Result:

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

3 0

3 years ago

Which is a factor of 144 − 49x2? 12 - 7x2 72 – 7x2 12 – 7x 72 + 7x

Vinil7 [7]

Answer:

(12-7x)

Step-by-step explanation:

144 − 49x²

by observation, we can see that 144 = 12² and 49 = 7²

hence we can rewrite the equation

144 − 49x²

= 12² - 7²x²

= 12² - (7x)²

recall that the expression x² - y² = (x+y)(x-y)

hence,

12² - (7x)²

= (12 + 7x)(12-7x)

(12-7x) appears in the expression above, hence 12 -7x is a factor

5 0

3 years ago

Read 2 more answers

O 14,000 16) How many zeros will be in the product of 4 x 500?*

SVETLANKA909090 [29]

Answer:

3 zeros

Step-by-step explanation:

4*500=2000

4 0

3 years ago

Which situation can be represented by 3s = 5s - 6 ?

grin007 [14]

Answer:

First one

Step-by-step explanation:

3s=5s-6

8 0

3 years ago

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter: 9 meters. The actual width of the soc

kupik [55]

Answer:

6 cm

Step-by-step explanation:

1 cm : 9 meters --> 1cm/9m

? cm : 54 meters --> ?cm/54m

$\frac{1}{9}=\frac{?}{54}; 54*\frac{1}{9}=?;6=?$

7 0

3 years ago