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3 years ago

Two integers have a sum of -44 and a difference of 22. The greater of the two integers is

Mathematics

1 answer:

Leni [432]3 years ago

5 0

Answer:

-11

Step-by-step explanation:

The generic solution to ...

a + b = sum
a - b = difference

Can be found by adding the two equations:

(a+b) + (a-b) = (sum) + (difference)

2a = (sum + difference)

a = (sum + difference)/2

___

Our particular solution is ...

a = (-44 +22)/2 = -11

The greater of the two numbers is -11.

___

The other number is -33.

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What is the ratio 42 inches to 9 feet as a fraction in simplest form?

murzikaleks [220]

6 goes into both 42 and 108 (9x12 so you are working with equal measurements) and you get 7/18

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3 years ago

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the cir

FromTheMoon [43]

The statements which are correct about the equation of circle $x^{2} +y^{2}-2x-8=0$ are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is $x^{2} +y^{2} =9$ .

Given the equation of circle be $x^{2} +y^{2}-2x-8=0$ .

We are required to find the appropriate statements related to the equation $x^{2} +y^{2}-2x-8=0$ .

$x^{2} +y^{2}-2x-8=0$ can be written as under:

$x^{2} +y^{2} -2x+1-9=0$

$x^{2} +1^{2}-2x+y^{2} -9=0$

$(x-1)^{2}+y^{2}$ -9=0

$(x-1)^{2} +y^{2} =9$

$(x-1)^{2}+y^{2} =3^{2}$

Equation of a circle usually in the form $x^{2} +y^{2} =a^{2}$ in which a is radius.

From the comparison of both the equations we get that radius is 3 units.

From the equation point will be (1,0). It is on the x axis.

Hence the statements which are correct about the equation of circle $x^{2} +y^{2}-2x-8=0$ are 1) The radius of the circle is 3 units,2) The center of the circle lies on the x axis,5) The radius of this circle is the same the radius of the circle whose equation is $x^{2} +y^{2} =9$ .

Learn more about radius at brainly.com/question/24375372

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10 months ago

20 POINT QUESTION!! Complete the equation of the linear function. y = x +

Viefleur [7K]

$A=(0,1); B=( \frac{1}{2}, 0) \\ 
y=ax+b
 
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y=-2x+1$

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3 years ago

12x + 4 divided by 4 plus 20x + 5 divided by 5

Rasek [7]

12x + 4 ➗ 4 + 20x + 5 ➗ 5

1. PEMDAS (order of operations) solve the division problems

(4 divided by 4 & 5 divided by 5)
12x + 1 + 20x + 1

2. Swap around the order of operations as commutative property states that you can swap the order of an addition problem and get the same answer.

12x + 20x + 1 + 1

3. Add like terms

32x + 2

This is the most simplified answer you could get as you can not add 32x and 2 as they are not like terms.

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2 years ago

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zimovet [89]

Answer:

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