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3 years ago

Use the properties you learned to show why (a+b)+c is equivalent to b+(a+c)

1 answer:

8 0

Using the Associative Property of addition, if you move the parentheses anywhere between a, b, and c, the answer will always be the same. Also, the Commutative Property of addition states that if you move the terms around, the answer is also still the same. So, (a+b)+c is the same as b+(a+c).

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Solve for e. 0.75(8 + e) = 2 - 1.25e

timofeeve [1]

Answer:

e = -2

Step-by-step explanation:

Well to solve for e in the following equation,

.75(8 + e) = 2 - 1.25e

We need to distribute and use the communicative property to find e.

6 + .75e = 2 - 1.25e

-2 to both sides

4 + .75e = -1.25e

-.75 to both sides

4 = -2e

-2 to both sides

e = -2

Thus,

e is -2.

Hope this helps :)

3 0

3 years ago

X/3 -6 =y Solve for x

Paul [167]

Answer:

x= 3(y+6) or x = 3y + 18

Step-by-step explanation:

get the "x" by itself.

so first +6 on both sides of the equation to make it x/3=y+6

then multiply both sides by 3 to make it x=(y+6)*3

3 0

3 years ago

find the equation of the line that is perpendicular to the given line and passes through the given point. CD; (-2,1). C cornet p

Studentka2010 [4]

Answer:

x -2y = -4

Step-by-step explanation:

The slope of the line between points C and D is ...

m = (y2 -y1)/(x2 -x1)

m = (7 -13)/(5 -2) = -6/3 = -2

The slope of the perpendicular line is the opposite reciprocal of this: -1/(-2) = 1/2. The point-slope equation of the desired line is ...

y -k = m(x -h) . . . . line with slope m through point (h, k)

y -1 = 1/2(x -(-2))

We can rearrange this to standard form.

2y -2 = x +2 . . . . . multiply by 2

-4 = x -2y . . . . . . . subtract 2y+2

x -2y = -4 . . . . . . standard form equation of the desired line

5 0

2 years ago

Classify the triangle with angles measuring 85°, 60°, and 35°.

OLEGan [10]

They are acute angels cause there smaller than 90

6 0

3 years ago

Read 2 more answers

The graph of a quadratic function is shown. Check all of the following statements that are true of the function.

Fed [463]

Answer:

a < 0

The vertex is (1,2)

Step-by-step explanation:

Looking at the graph

we have a vertical parabola open downward

The leading coefficient is negative

The vertex is a maximum

The vertex is the point (1,2)

The axis of symmetry is equal to the x-coordinate of the vertex, so the axis of symmetry is x=1

The y-intercept is the point (0,1)

The function has two real solutions (zeros of the function) one positive and one negative

The positive zero of the function is greater than 2

The negative zero of the function is greater than -1

Verify each statement

case 1) a < 0

The statement is true

Because the parabola open downward

case 2) The vertex is (1,2)

The statement is true

The vertex in this problem is the maximum of the function

case 3) The axis of symmetry is y =2

The statement is false

Because the axis of symmetry is x=1

case 4) x = 2 is a zero of the function

The statement is false

Because the positive zero of the function is greater than 2

case 5) (1,2) is a minimum

The statement is false

Because the vertex in this problem is a maximum

4 0

3 years ago