For each of the following differences, do the following: (1) change the difference into a sumand (2) evaluate the sum.
(a) 10-7
(b) 9-17
(C) -5-8
(d) 14-(-3)

Answers

Answer 1

Answer:

The sum of the given pair of numbers is 17, 16, 3 and 11 respectively.

We need to solve the change of the difference into a sum and evaluate the sum.

What is the sum of numbers?

In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands; the result is their sum or total.

Now,

10-7 changing the difference into a sum we get 10+7=17.

9-17 changing the difference into a sum we get 9+17=16.

-5-8 changing the difference into a sum we get -5+8=3

14-(-3) changing the difference into a sum we get 14+(-3)=14-3=11

Therefore, the sum of the given pair of numbers is 17, 16, 3 and 11 respectively.

To learn more about the sum of numbers visit:

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Answer 2

Answer:

Answer:

a. 10+7=17

b. 9+17=26

c. -5+7= 2

d. 14+(-3)= 14-3 = 11

Step-by-step explanation:

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How many solutions does the system 2y=10x-14 and 5x-y=7 have? need worked out step by step please!

Answers

2y=10x-14
5x-y=7

Divide both sides by 2 in the 1st equation
y=5x-7
Now substitute is to 2nd equation
5x-5x+7=7
0=0

Therefore there is no solution or it is inconsistent

these 2 equations are actually the same,
hope u can understand.

Which statement is true?

Answers

Answer:

Two shapes have corresponding congruent parts if and only if the shapes are congruent and one shape can be mapped to the other using a series of rigid transformations. (The first option)

Step-by-step explanation:

The other three statements are false.

Two shapes can have corresponding congruent parts without being congruent. For example, a square and a rectangle can have congruent sides, but they are not congruent shapes.

Two shapes can be congruent without being able to be mapped to each other using a series of rigid transformations. For example, a sphere and a cube are congruent shapes, but they cannot be mapped to each other using only rigid transformations.

Two shapes can be non-congruent and be able to be mapped to each other using a series of rigid transformations. For example, a square and a rectangle can be mapped to each other using a combination of a rotation and a translation.

3t<-15 a. t<-5 b. t>-5 c. t<-45 d. t>-45

Answers

3t<-15 solve for t

divide both sides by 3
3t/3 < -15/3

Simplify
t < -5

Anser is a. t<-5

If 3t < -15 all you need to do is divide by 3 on both sides,

t < -5

What is 81 to the power of -1/4?

Answers

81^(-1/4) is the same as the fourth root of (1/81). Which can be written as 4th root of 1 divided by the 4th root of 81.
The 4th root of 1 is 1 (because 1x1x1x1x1=1).
The 4th root of 81 is 3 (because 3x3x3x3=81).
So 81^(-1/4) = 1/3

Solve 64x^3 +1 =0the back of the texts books gives me the answers -1/4 and 1 plus or minus i√3 all over 8
I understand where the -1/4 comes from . I just don't understand the second answer. I know they used the quadratic formula to get it but I always end up with something to totally different

Answers

Expand the expression using the formula:
$a^3+b^3=(a+b)(a^2 - ab + b^2)$

$64x^3+1=0 \n(4x)^3+1^3=0 \n(4x+1)((4x)^2- 4x * 1+1^2)=0 \n(4x+1)(16x^2-4x+1)=0 \n4x+1=0 \ \lor \ 16x^2-4x+1=0$

The first equation:
$4x+1=0 \n 4x=-1 \n x=-(1)/(4)$

The second equation:
$16x^2-4x+1=0 \n \na=16 \n b=-4 \n c=1 \n b^2-4ac=(-4)^2-4 * 16 * 1=16-64=-48 \n√(b^2-4ac)=√(-48)=√(48) * √(-1)=√(16 * 3) * √(-1)=\pm 4√(3) i \n \nx=(-b \pm √(b^2-4ac))/(2a)=(-(-4) \pm 4√(3)i)/(2 * 16)=(4 \pm 4√(3)i)/(32)=(4(1 \pm √(3)i))/(4 * 8)=(1 \pm √(3)i)/(8) \nx=(1-√(3)i)/(8) \ \lor \ x=(1+√(3)i)/(8)$

The final answer:
$\boxed{x=-(1)/(4) \hbox{ or } x=(1-√(3)i)/(8) \hbox{ or } x=(1+√(3)i)/(8)}$

If a line passes through the point (1,9) and has a slope of 6 , write it as an equation