The actual length of the dust termite observed under the microscope is 1.5 mm
- The scale of image produced under the microscope 100 : 1
- This means image is magnified 100 times its original size as microscopes are used to enlarge or magnify the size objects.
- Taking the measured size of the dust termite under the microscope in millimeter = 150 mm
The actual length of the termite will be :
- Measured size under microscope ÷ 100
Therefore, the actual length of the dust termite is about 1.5 mm
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Answer:
0
Step-by-step explanation:
Simplifying
-7(x + -2) + 1 = 15 + -7x
Reorder the terms:
-7(-2 + x) + 1 = 15 + -7x
(-2 * -7 + x * -7) + 1 = 15 + -7x
(14 + -7x) + 1 = 15 + -7x
Reorder the terms:
14 + 1 + -7x = 15 + -7x
Combine like terms: 14 + 1 = 15
15 + -7x = 15 + -7x
Add '-15' to each side of the equation.
15 + -15 + -7x = 15 + -15 + -7x
Combine like terms: 15 + -15 = 0
0 + -7x = 15 + -15 + -7x
-7x = 15 + -15 + -7x
Combine like terms: 15 + -15 = 0
-7x = 0 + -7x
-7x = -7x
Add '7x' to each side of the equation.
-7x + 7x = -7x + 7x
Combine like terms: -7x + 7x = 0
0 = -7x + 7x
Combine like terms: -7x + 7x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Answer:
The Answer is: y = -1/4x + 6
Step-by-step explanation:
Given point: (4, 5)
Given equation: y = -1/4x - 11
Slope: m = -1/4, a parallel line will have the same slope.
Start with the point slope form and solve for y:
y - y1 = m(x - x1)
y - 5 = -1/4(x - 4)
y - 5 = -1/4x + 1
y = -1/4x + 1 + 5
y = -1/4x + 6
Proof:
f(x) = -1/4x + 6
f(4) = -1/4(4) + 6
= -1 + 6 = 5, giving (4, 5)
Hope this helps!! Have an Awesome day!!! :-)
Answer:
The answer is 17.
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer:
x = 19
Discussion:
Both sides are logarithms to the same base, namely 20
, which implies the expressions in x (what we are taking logarithms of) must be equal. So we need to solve
4x - 10 = 3x + 9 => subtract 3x from both sides
4x-3x - 10 = 9 => add 10 to both sides
x = 9 + 10 = 19
Thank you,
MrB