Mathematics Solve for me.
1 answer:
Answer:
x = 2.6
7x+1
Step-by-step explanation:
<u>If 4.75x = 12.35, what is the value of x?</u>
You need to solve this equation. To do so, we need to isolate the x variable by itself. So, we will divide both sides by 4.75 to get our answer for x.
x = 2.6
<u>What is 3x+2+4x-1 after combining like terms?</u>
To combine like terms, it means to simplify/merge them together. We know what 1 +2 is? Why write 1 +2, when we can just say 3? That's basically what the question is asking.
Anyway,
Merge the x's (DON'T SEPERATE THE X IF ITS BESIDE A NUMBER!!! IT WILL BE MULTIPLIED BY X)
Now simply 2-1.
Simplified version: 7x+1
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Answer:
1.96 planes
Step-by-step explanation:
The computation of the number of planes is shown below:
As we know that
System Inventory is
= Flow rate in the system × Throughput time
where,
Flow rate is
= Frequency of taken off
= 16 planes ÷ hour
= 16 ÷ 60 Planes per minute
Throughput time is
= runway waiting time + runway Run time
= 33 seconds + 6 minutes × 60 seconds + 48 seconds
= 441 seconds
= 441 per 60 seconds
Therefore the number of planes is
= 1.96 planes
By applying the equation of dilation, the coordinates of the vertices of the triangle ABC are A'(x, y) = (-12, 0), B'(x, y) = (0, -9) and C'(x, y) = (-12, -9).
<h3>How to find the image of a triangle</h3>
A dilation is a type of <em>rigid</em> transformation. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distances are conserved.
There is a triangle and its image must be a triangle, the <em>new</em> triangle is found by transforming the three vertices of the prior one following this formula:
A'(x, y) = P(x, y) + k · [A(x, y) - P(x, y)] (1)
Where:
- P(x, y) - Center of reflection.
- A(x, y) - Original vertex
- A'(x, y) - New vertex
- k - Dilation factor
If we know that P(x, y) = (0, 0), A(x, y) = (-4, 0), B(x, y) = (0, -3) and C(x, y) = (-4, -3), then the new vertices of the triangle are, respectively:
Point A
A'(x, y) = (0, 0) + 3 · [(-4, 0) - (0, 0)]
A'(x, y) = (-12, 0)
Point B
B'(x, y) = (0, 0) + 3 · [(0, -3) - (0, 0)]
B'(x, y) = (0, -9)
Point C
C'(x, y) = (0, 0) + 3 · [(-4, -3) - (0, 0)]
C'(x, y) = (-12, -9)
Lastly, we draw the two triangles, which are presented in the image attached below.
To learn more on dilations: brainly.com/question/13176891
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