The equivalent form of 14(p + 6) − 10(2q + 5) is 14p − 20q + 34.
<h3>What is mathematical expansion?</h3>
An mathematical expansion occurs when a mathematical object is been scaled using a scale factor that is greater in absolute value than one.
14(p + 6) − 10(2q + 5)
If we open the bracket, we have
14p − 20q + 34
Therefore option D is correct.
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Answer:
Step-by-step explanation:
2.38 km x 10^4 = 23,800 decimeters
Is this meant to be a question? If so, what are you asking. The all time low for Dallas would be -3 degrees if that's what you want to know.
The first example has students building upon the previous lesson by applying the scale factor to find missing dimensions. This leads into a discussion of whether this method is the most efficient and whether they could find another approach that would be simpler, as demonstrated in Example 2. Guide students to record responses and additional work in their student materials.
§ How can we use the scale factor to write an equation relating the scale drawing lengths to the actual lengths?
!
ú Thescalefactoristheconstantofproportionality,ortheintheequation=or=!oreven=
MP.2 ! whereistheactuallength,isthescaledrawinglength,andisthevalueoftheratioofthe drawing length to the corresponding actual length.
§ How can we use the scale factor to determine the actual measurements?
ú Divideeachdrawinglength,,bythescalefactor,,tofindtheactualmeasurement,x.Thisis
! illustrated by the equation = !.
§ How can we reconsider finding an actual length without dividing?
ú We can let the scale drawing be the first image and the actual picture be the second image. We can calculate the scale factor that relates the given scale drawing length, , to the actual length,. If the actual picture is an enlargement from the scale drawing, then the scale factor is greater than one or
> 1. If the actual picture is a reduction from the scale drawing, then the scale factor is less than one or < 1.
Scaffolding:
A reduction has a scale factor less than 1, and an enlargement has a scale factor greater than 1.
Lesson 18: Computing Actual Lengths from a Scale Drawing.
Answer:
0.79 sec
Step-by-step explanation:
Given there is a tool at the top of the building which is dropped by a worker and it follows the following equation at every instant of time .
where 
We know that this height is measured from the base of the building which means that when the tool reaches the bottom of the building it has h = 0 feet.
Let this be done at time t
h(t) = 0
t = 0.79 sec
Therefore the total time taken by the tool to reach the bottom of the building is 0.79 sec.
