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2 years ago

In the parallelogram below, AB=2x+8 and CD=5x-1. What is the length of AB?

Mathematics

2 answers:

pshichka [43]2 years ago

7 0

Answer:

AB = CD

BC = DA

Step-by-step explanation:

Since 3x+2 = 5x-2, solving for x yields 2. Since BC = 4x+1 = DA, BC and DA both equal 4(2)+1 = 9.

sp2606 [1]2 years ago

4 0

Answer:

AB = 14

Step-by-step explanation:

Lines AB and CD are opposite each other and as the shape is a parallelogram, they are of equal length:

AB = CD

2x + 8 = 5x - 1

Add 1 to both sides to isolate the 5x:

2x + 8 + 1 = 5x - 1 + 1

2x + 9 = 5x

Subtract 2x from both sides to isolate the 9:

2x + 9 - 2x = 5x - 2x

9 = 3x

Divide both sides by 3:

9 ÷ 3 = 3x ÷ 3

x = 3

As AB = 2x + 8, plug the known variable x in:

2x + 8

2(3) + 8

6 + 8

= 14

Hope this helps!

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2 years ago

A truck can at most be filled with 20 ton. If there are currently 14 ton goods there already, write an inequality representing t

Rom4ik [11]

Answer:

$x + 14 \leq 20$ , x = 6 ton

Step-by-step explanation:

The truck can be filled with a total of 20 ton.

There are already 14 ton inside the truck, so if we call x the weight of goods that we can still add into the truck, we know that (x+14) must be equal at most at 20. Therefore, the inequality becomes:

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2 years ago

Determine if the graph is a function then state the domain and range.

nignag [31]

<h3>Explanation</h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Draw a vertical line. Make sure that a line passes through a graph.
See if a line intercepts a graph more than one point or just only one.

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3>Answer</h3>

 $\begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}$ 

Domain is set of all real numbers.

Range is greater or equal to 0.

8 0

2 years ago

Two numbers are in the ratio 3:2. If the smaller number is 24, find the larger number

Daniel [21]

3:2
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2x = 24 / : 2
x = 12

3*12 = 36

answer: the larger number is 36.

5 0

3 years ago

Read 2 more answers