Here are the basic steps to follow to simplify an algebraic expression:remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
combine the constants.

5 0

3 years ago

In the diagram below segment DEF is shown(since all three letters are shown, they are collinear). If DE=3x+2, EF= x+5, and DF= 2

amm1812

The value of $x$ is 4.

By Geometry, we know that line segment $DF = DE + EF$ , which is equivalent to:

$DF = 3\cdot x + 2 + x + 5$

$DF = 4\cdot x + 7$ (1)

Now we solve algebraically the resulting expression.

If we know that $DF = 23$ , then we solve the equation for $x$ :

$4\cdot x + 7 = 23$

$4\cdot x = 16$

$x = 4$

The value of $x$ is 4.

We kindly invite to see this question on line segments: brainly.com/question/23297288

6 0

2 years ago

Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. R

Mrac [35]

Answer:

Midpoint (-2,4)

distance nearest tenth = 8.9

The approximate distance = 9

Step-by-step explanation:

Formulas

PQ midpoint = (x2 + x1)/2, (y2 + y1)/2

distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -4

x1 = 0

y2 = 1

y1 = 7

Solution

M(PQ) = (-4+0)/2, (1 + 7)/2

M(PQ) = -2, 4

The midpoint is -2,4

The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )

The distance = sqrt(16 + 64)

The distance = sqrt(80)

The distance = 4√5 exactly

The distance = 8.94

The distance = 8.9 To the nearest tenth

Question 2

The distance is rounded to the nearest whole number which is 9.

6 0

3 years ago

What’s the answer i need help? Find slope using triangles and rise over run

allsm [11]

Answer:

slope is 1/3

Step-by-step explanation:

notice the points on the line, from the first point go one square up and three to the right, thats how i got 1/3

5 0

3 years ago