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To write each combination of vectors as a single vector, we can simply add them together. For example, to write the combination of vectors AB + BC as a single vector, we would simply add the vectors AB and BC together.
Here is how to write each combination of vectors as a single vector:
AB + BC = AC
CD + DB = CB
DB - AB = BD
DC + CA + AB = AD
Here is a diagram to help visualize the addition of vectors:
[Diagram of vector addition]
In the diagram, vectors AB and BC are added together to create vector AC. Vector AC is the sum of vectors AB and BC.
We can also use the following formula to write the combination of vectors as a single vector:
A + B = (A_x + B_x, A_y + B_y)
where A_x and A_y are the components of vector A, and B_x and B_y are the components of vector B.
For example, to write the combination of vectors AB + BC as a single vector, we would use the following formula:
AB + BC = (AB_x + BC_x, AB_y + BC_y)
where AB_x and AB_y are the components of vector AB, and BC_x and BC_y are the components of vector BC.
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The number of seconds it takes light to travel from Sirius to Earth is .
Given that, the speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth.
We need to find out how many seconds it takes light to travel from Sirius to Earth.
To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.
Let the number of seconds it takes light to travel from Sirius to Earth be n seconds
Now, the proportion=
⇒
⇒
Therefore, the number of seconds it takes light to travel from Sirius to Earth is .
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Answer:
2.72 × 10^8 seconds
Step-by-step explanation:
1. Organize the given information to help you create the equation:
- Light travels 1.86 × 10^5 miles per 1 second
- Light travels 5.062 × 10^13 miles per n seconds
- Need to solve for n
2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):
=
3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)
n × (1.86 × 10^5) = 5.062 × 10^13
4. Solve for n by isolating the variable and dividing.
=
n =
n = 2.72 × 10^8 (Make sure to include the unit, seconds)
Answer:
Step-by-step explanation:
7630 x .023 = 175.49
175.49 + 28 = $203.49
Answer:
A, f(x) ≥ -36
Step-by-step explanation:
The range is all the possible y values, also called f(x) values.
In this case, the range of the graph extends from -36 to infinity, so the correct answer is f(x) ≥ -36.
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Answer:
C I think
Step-by-step explanation:
Answers:
x = 57
y = 86
z = 37
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Work Shown:
x+123 = 180 .... since x and 123 form a straight line
x = 180-123
x = 57
y = 86 since the y and 86 angles are vertical angles
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For any triangle, the three angles always add to 180. So,
x+y+z = 180
57+86+z = 180
143+z = 180
z = 180-143
z = 37
As a check,
x+y+z = 57+86+37 = 180
which confirms the value of z
The slope of line PQ calculated using the the formula (y₂-y₁)/(x₂-x₁) comes out to be -3 as given in the question. However, the complete information for line S is not provided, so its slope cannot be calculated.
The question is related to the types of lines formed by the given points in a Cartesian plane. Here, m(PQ) and m(S) represent the slopes of the lines formed by points P and Q, and line S respectively.
We calculate the gradient or slope of a line using the formula m = (y₂-y₁)/(x₂-x₁) where (x₁, y₁) and (x₂, y₂) are the coordinates of two distinct points on the line.
So, for line PQ the slope m(PQ) = (-1-14)/(2-(-3)) = -15/5 = -3. This matches the value given for m(PQ) in the question, thus establishing that PQ is a line with slope -3 in the Cartesian plane.
However, you haven't provided the complete information about the line S (only one coordinate is given). So, we cannot compute its slope. Please check the information given.
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Answer:
75
Step-by-step explanation:
Answer:
58 1/4, 233/4, 5825%
Step-by-step explanation:
Answer:
You can write as a fraction, a percentage, and in word form
Step-by-step explanation: