Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Algebraic Manipulation</u>
It refers to the process of modifying algebraic expressions, often into a simpler form or more easily handled and dealt with.
It also helps us to prove some identities.
We are given the relations:
a + m = n
n = 4a
Substituting the last equation in the first, we have:
a + m = 4a
Subtracting a on both sides of the equation:
m = 4a - a
Simplifying:
m = 3a
Hence proved
Answer: There is a horizontal shift of 3 units to the right and a vertical stretch by a factor of 2.
Step-by-step explanation: The (x-3) shifts the graph three units right, think of as for (x)=0 x has to be 0, and for (x-3)=0 x has to be 3, which is 0+3. The vertical stretch multiplies everything by 2, so it should make sense that it's a vertical stretch by a factor of 2.
Answer:
x = 5
Explanation:
Well, there's a theorem about these triangles that helps you solve questions similar to this one.
The theorem states that the sum of the two angles of a triangle is equal to the magnitude of the angle exterior to them.
That is, 33° + (10x+1)° = (17x-1)°
17x - 10x = 33 + 1 + 1
7x = 35 => x = 5
Hope it helps you, mate! :)
Answer:
The width of the playground is 4/3 miles
Step-by-step explanation:
Use the area formula and plug in values
A = l * w
8/12 = 2/4 * w
Use inverse operations to isolate the variable and solve
w = 8/12 ÷ 2/4
Cross multiply the fractions to find the quotient
w = 32/24
And lastly, simplify
w = 4/3 mi
