Determine the answer to (-5) +4 and explain the steps using a number line

Hello,

The correct answer is -1.

(Drawing the number line)

Draw a number line on a piece of paper. Write a 0 in the middle. Then on the left side on the number line write the numbers -1 to -5. On the right side of the number line draw the numbers 1 - 5.

-5 -4 -3 -2 -1  0  1  2  3  4  5

(Finding the answer)

On the number line start at -5 and then move 4 spaces to your right and you will land on the number -1.

(Answer)

(-5) + 4 = -1

Hope this helps (:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.