Answer:
u² + 2u + <u>1</u>
Step-by-step explanation:
In the question it's asking to find the the number in the blank to make the expression a perfect square.
Let the number in the blank be 'x'.
To guess 'x' , use the algebraic identity :- 
While matching the expression with identity , the expression will look like this :- <em>u² + 2ux + </em><u><em>x²</em></u>
In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".
⇒ x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)
⇒ <u>x²</u> = <u>1</u>
∴ The number in the blank is 1.
<u>Answer:</u>
y = 4
<u>Step-by-step explanation:</u>
The point (2, 4) has the x intercept = 2 and y intercept = 4.
A horizontal line has a slope of 0, therefore every point on a horizontal line has the same value and a slope of 0.
So to find the equation of the horizontal line, we use the value of y intercept which can be written in the form y = b where point is (a, b).
Since the point given here is (2, 4), therefore the equation of the horizontal line which passes through it will be y = 4.
Answer:
(4, -8)
Step-by-step explanation:
The components of a vector are found by subtracting the tail from the head.
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Head - Tail = (1, -6) -(-3, 2) = (1 -(-3), -6 -2) = (4, -8)
⇒ The component form is (4, -8), or maybe 4<em>i</em> -8<em>j</em>.
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<em>Additional comment</em>
There are many ways that the components of vectors can be described. The particular format you are expected to use will likely be found in your curriculum materials.
Answer:
3/4
Step-by-step explanation:
1/3 + 1/4 + 1/6
notice that the denominators consists of the numbers 3, 4 and 6 and that the lowest common multiple for all 3 numbers is 12, hence all these fractions can be expressed with a denominator of 12
i.e
1/3 = 4/12
1/4 = 3/12
1/6 = 2/12
hence,
1/3 + 1/4 + 1/6
= 4/12 + 3/12 + 2/12
= (4+3+2) / 12
= 9/12 (simply)
= 3/4
