How would you solve (4k+5)(k+1)=0?

Answers

Answer 1
Answer: (4k+5)(k+1)=0\iff4k+5=0\ or\ k+1=0\n\n4k=-5\ or\ k=-1\n\n\boxed{k=-(5)/(4)\ or\ k=-1}
Answer 2
Answer: (4k + 5) (k + 1) = 0

Before you rush off and start trying to do complicated things with that equation,
put your pencil down, fold your hands in your lap, and sit and look at it for a while.
Keep looking at it until a little voice yells out "Hey !  That's a true statement if
either
(4k + 5) is zero  or  (k+1) is zero.  THEN go to work on it.

(4k + 5 = 0)
4k = -5
k = -5/4

(k + 1 = 0)
k = -1

And there are the two solutions to that equation.

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on a coordinate plane, the vertices of a rectangle are (-1, 1), (3, 1), (-1, -4), and (3, -4). what is the perimeter of the rectangle

Answers

Answer:

18 unit

Step-by-step explanation:

By plotting the given points on the coordinate plane ( shown below )

We get a rectangle.

Suppose ABCD is a rectangle such that,

A≡(-1,1), B≡(3,1), D≡(3,-4) and C≡(-1,-4),

By the distance formula,

AB=√((3-(-1))^2+(1-1)^2)=√((3+1)^2+0)=√(4^2)=4\text{ unit}

BC=√((3-3)^2+(-4-1)^2)=√(0+5^2)=√(5^2)=5\text{ unit}

∵ Perimeter of a rectangle = 2 ( sum of any two adjacent sides )

Thus, the perimeter of the rectangle ABCD = 2(AB + BC)

= 2(4+5)

= 2(9)

= 18 unit

The perimeter is 18.....i hope i helped you

Determine the slope and y-intercept of the graph:
2x + 5y = 10

Answers

Slope is -2/5 and y-intercept is 2

Step-by-step explanation:

  • Step 1: Write the equation in slope-intercept form y = mx + b

2x + 5y = 10

5y = -2x + 10

y = -2/5 x + 10/5

y = -2/5 x + 2

  • Step 2: Find the slope and y-intercept from the equation.

Slope, m = -2/5

y-intercept, b = 2

What is the common difference in the arithmetic sequence 10, 8, 6, 4, ...?

20pts

Answers

Answer:common difference is -2

Step-by-step explanation:

Answer:common difference is -2

Step-by-step explanation:

The sequence is arithmetic if the difference between consecutive terms is constant.

Thirty plus the quotient of a number and two N = A Number (writting algebraic expression)

Answers

30+n/2
You are dividing n by 2, then adding by 30

What fractions are equivalent to 4/7

Answers

Some of the fractions that are equivalent to 4/7 are 8/14, 12/21, 16/28, 20/35 e.t.c

What is equivalent expression?

Equivalentexpressions are expressions that work the same even though they look different.

If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

For example , 5 × 4 = 20 and 2 × 10 = 20 , so the two expressions are equivalent and they have thesame value

To find the equivalent of 4/7, we can multiply through by a factor of 2, 3 , 4 ,5 e.t.c

Therefore 4/7 = 8/14 = 12/21 = 16/28 = 20/35

learn more about equivalent expressions from

brainly.com/question/2972832

#SPJ6

8/14 12/21 16/28 these are some of the fractions that came to mind


An ordered pair has coordinates that have the same sign. In which quadrant(s) could the point lie

Answers

Answer= Quadrant 1 (+,+) and Quadrant 3 (-,-)

They could lie either in the first or third quadrant