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mr Goodwill [35]
3 years ago
11

Question 1 What is the answer to the following integer operation: - 8 + 3

Mathematics
1 answer:
SashulF [63]3 years ago
8 0

Answer

Q1. -8+3

solution:

= -8+3

= -5 .Ans

Rule : if the sign are different subtract and and keep the sign of larger value.

Q2. 7-(-14)

solution :

= 7-(-14)

= 7 + 14

= 21 .Ans

Rule: if the signs are same add and keep the sign same

Q3. 8× (-2)

solution:

= 8×-2

= -16. Ans

(solve bracket first)

Q4. (-39) ÷ (9)

solution:

= -39 ÷ 9

= -4 .Ans

Q5. 24 ÷ 8 × (7+3) ÷ 5

solution:

= 24 ÷ 8 × (10) ÷ 5

= 24÷ 8 × 10 ÷ 5

= 3 × 2

= 6

(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )

Q6. 8 (2x+9) - 2

solution:

= 8 (2x+9) -2

= 16x + 72 - 2

= 16x + 70 .Ans

Q7. 36y - 8y + 15 - 13

solution:

= 36y- 8y + 15 - 13

= 30y + 2 .Ans

Q8. 3÷ 4

solution :

= 3÷ 4

= 0.75 .Ans

Q9. 8/0

soution: It is undefined or you cannot evaluate it. Explanation: You cannot evaluate 8 /0 because there is no real number.

Q10. 18 /1

solution:

= 18/1

= 18 ÷ 1

= 18. Ans

Explanation :This rule tells us simply that if we have a number divided by 1, our answer will equal that number regardless of what that number is. We don't even have to pay that much attention to the number we are dividing. We just have to make sure that when dividing any number by 1, we remember the answer is always itself.

Q11. 1 ÷ 9-3

solution:

= 1 ÷ 9-3

= 0.1111 - 3

= −2.8888 .Ans

(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )

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Determine the center and the diameter of the circle with the equation. x^2-6x+y^2+8y=24
Arisa [49]

Answer:

The center of the circle is (3, -4)

The diameter of the circle is 2

Step-by-step explanation:

The given equation of the circle is x² - 6·x + y² + 8·y = 24

The general form of the equation of a circle is x² + y² + 2·g·x + 2·f·y + c = 0

The center of the circle = (-g, -f)

The radius of the circle = √(g² + f² - c)

By comparing the given equation of the circle with the general form of the equation of a circle, we have;

2·g = -6, 2·f = 8, and c = 24

From 2·g = -6, we get;

∴ g = -6/2 = -3

g = -3

from 2·f = 8, we get;

∴ f = 8/2 = 4

f = 4

Therefore;

The center of the circle, (-g, -f) = (-(-3), -4) = (3, -4)

The center of the circle = (3, -4)

The radius of the circle, r = √(g² + f² - c) = √((-3)² + 4² - 24) = 1

The diameter of the circle, d = 2×r = 2 × 1 = 2

The diameter of the circle = 2.

6 0
3 years ago
A student solves the equation StartFraction x + 3 Over 2 EndFraction = StartFraction 3 x + 5 Over 5 EndFraction using the steps
bonufazy [111]

using the multiplication property of equality to multiply both sides of the equation by 10

Step-by-step explanation:

Given equation is:

\frac{x+3}{2} = \frac{3x+5}{5}

One method to solve this equation is cross-multiplication which the student has used.

One of the alternate method can be multiplying both sides by the LCM of numerators of fractions on both sides

So multiplying both sides by 10 (multiplication property of equality)

\frac{x+3}{2} * 10 = \frac{3x+5}{5} * 10\\5(x+3) = 2(3x+5)\\5x+15 = 6x+10\\5x+15-10 = 6x\\6x = 5x+5\\6x-5x = 5\\x = 5

The alternate method of LCM produces the same answer so the correct answer is:

using the multiplication property of equality to multiply both sides of the equation by 10

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/11229113
  • brainly.com/question/11234838

#LearnwithBrainly

7 0
3 years ago
Solve 14x^2 + 42x + 70 = 0
Dvinal [7]

Answer:

  x = -3/2 ± i(√11)/2

Step-by-step explanation:

The quadratic formula can be used directly, but I find it convenient to divide by 14 first:

  x^2 +3x +5 = 0

The solution to ...

  ax^2 +bx +c = 0

is given by the formula ...

  x = (-b ±√(b^2 -4ac))/(2a)

Here, we have a=1, b=3, c=5, so the formula gives the solutions ...

  x = (-3 ±√(3^2 -4·1·5))/(2·1) = -3/2 ± i(√11)/2 . . . . . solutions are complex

6 0
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Shall we made cupcakes and now she wants to frost them she has 4 cups of frosting it takes 1/3 of a cup of frosting for each cup
stira [4]
4 = 1/3x

she can frost 12 cupcakes
4 0
3 years ago
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Ulleksa [173]

Answer:

41 or 20

Step-by-step explanation:

good luck

follow me for more:>

3 0
3 years ago
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