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Serga [27]
3 years ago
9

Write the interval (5,100] as an inequality and using set notation

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer: { x | 5 < x ≤ 100 }  OR  { x ∈ ℝ | 5 < x ≤ 100 }

Step-by-step explanation:

{ x | 5 < x ≤ 100 }

This means:

"The set of all x's, such that x is greater than 5 and less than or equal to 100"

Another acceptable way to write this is

{ x ∈ ℝ | 5 < x ≤ 100 }

"x ∈ ℝ" simply means x is an element of all real numbers

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Line AB contains points A(4, 5) and B(9,7). What is the slope of AB?
vlabodo [156]

Answer:

2/5

Step-by-step explanation:

We can find the slope of a line given two points by using

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

     = (7-5)/(9-4)

    = 2/5

7 0
3 years ago
Read 2 more answers
Please help me I’m desperate and in need of hep‼️‼️‼️ Describe how to calculate the volume of a composite 3-D figure.
Ugo [173]

Answer:

To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then:

add basic figure volumes belonging to the composite shape.

subtract basic figure volumes NOT belonging to the composite figure.

Step-by-step explanation:

5 0
2 years ago
Solve the system of equations -x+ 2y = –11 and 5x – 8y = 39 by<br> combining the equations.
Alchen [17]

Answer:

x=-5, y=-8. (-5, -8).

Step-by-step explanation:

-x+2y=-11

5x-8y=39

---------------

5(-x+2y)=5(-11)

5x-8y=39

---------------------

-5x+10y=-55

5x-8y=39

--------------------

2y=-16

y=-16/2

y=-8

-x+2(-8)=-11

-x-16=-11

-x=-11+16

-x=5

x=-5

3 0
2 years ago
Can someone please explain to me the difference between SAS and SSS in Geometry when dealing with triangle proofs?
ANTONII [103]

Hello from MrBillDoesMath!

Answer:   SAS = side - angle -side    congruence

              SSS  = side - side - side     congruence


Discussion :

In Plane Geometry,  identical triangles are said to be "congruent". There are several ways, depending upon the information you have, to prove 2 triangles are congruent.

In one approach ("SSS") if you can show that 2 triangles have identical side lengths,  then the triangles are congruent. (A triangle has 3 sides, hence "SSS" -- 3 S's; 3 sides, get it?)

In another approach ("SAS") if you can show that 2 sides, and the angle included between those sides, in one triangle are identical to the sides and included angle in another triangle,  then the triangles are congruent

It's easier to understand this with a picture or diagram than in words. Please review the SSS, SAS picture in your textbook

Regards, MrB

7 0
3 years ago
One of the legs of a right triangle measures 6 cm and its hypotenuse measures 8 cm. Find the measure of the other leg. If necess
Vika [28.1K]
Well, this is a Pythagorean theorem problem. A^2 + B^2 = C^2, where C^2 is equal to the hypotenuse. 8 squared equals 64, so c^2 = 64 cm. The other leg can be represented by A^2, which is 36 cm. 36 + ? = 64. 64 - 36 = 28, so B^2 equals 28. Now, to find the measurement of the other leg, we need the square root of 28. The square root of 28 is 5.3 cm.

Your final answer is 5.3 cm.
8 0
2 years ago
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