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3 years ago

9

do you think that a negative sign affects whether or not a number is rational number? Use -8/5 an example.

1 answer:

lina2011 [118]3 years ago

5 0

-8/5 is a rational number because in order to be a rational number it must be able to be written as a fraction. -8/5 is a fraction; therefore, the negative does not affect it.

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Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.

Sphinxa [80]

Answer: $(r-s)^{2} = 28$

Step-by-step explanation:

$x^{2} -6x+9=-2+9$
$(x-3)^{2}=7$
$(x-3)= -\sqrt{7}$ or $\sqrt{7}$ <-- there's no plus/minus sign.

$(x-3) = -\sqrt{7}$
$x = 3 -\sqrt{7}$ <-- root.

$(x-3) = \sqrt{7}$
$x = 3+\sqrt{7}$ <-- root.

$[(3-\sqrt{7})-(3+\sqrt{7})]^{2}$
$(3-\sqrt{7} -3 - \sqrt{7})^{2}$ <-- don't forget to distribute the negative.
$(-2\sqrt{7})^{2}$
$(4)(7)$
$28$

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2 years ago

What is the area of a circle with a diameter of 12.6 in.?

Zepler [3.9K]

Hey there! I'm happy to help!

To find the area of a circle, you square the radius and then multiply by pi (3.14 in our case).

The radius is half of the diameter.

12.6/2=6.3

We square this.

6.3²=39.69

We multiply by 3.14

39.69×3.14=124.6266

We round to the nearest hundredth, giving us an area of 124.63 in².

Now you can find the area of a circle! Have a wonderful day! :D

5 0

3 years ago

Find the slope of the line whose equation is 15 + 3x = 2y.

Korvikt [17]

15+3x=2y
2y=3x+15
y= $\frac{3}{2} x+ \frac{15}{2}$
Gradient, m= $\frac{3}{2}$

6 0

2 years ago

Read 2 more answers

PLEASE HELP! Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below he

EastWind [94]

Answer:

98 and 105

Step-by-step explanation:

4 0

2 years ago

Determine whether the congruence is true or false.<br> 12 ≡ 10 mod 5

dolphi86 [110]

Answer:

The given congruence is false.

Step-by-step explanation:

Given : Expression $12 \equiv 10 \mod 5$

To find : Determine whether the congruence is true or false ?

Solution :

The congruence is in the form $x\mod y\equiv r$

where, x is the dividend

y is divisor

r is the remainder

So, We find $10 \mod 5$

We know, 10 is completely divide by 5 and we get quotient is 2 and remainder is 0.

$10 \mod 5=0$

As $0\neq 12$

Therefore, The given congruence is false.

8 0

3 years ago