Answer: 4 units down.
Step-by-step explanation:
When we have the graph y = f(x)
We can do verticals translations as:
y = f(x) + a.
if a is a positive number, the new graph for y is moved a units upside.
if we want to do a translation down, we should do:
y = f(x) - a.
Now, our f(x) = IxI, and our translation is:
y = IxI - 4
You can see that we have a subtraction of a positive number (4) so we have a translation of 4 units downwards.
Answer:
C
Step-by-step explanation:
Because it isn't a negative number so it should have a closed circle with a line going to 11 and on. Hoped this helped. ;)
Answer:
$11.51
Step-by-step explanation: The reason it would be $11.51 is because when you add the 3 dollars and 99 cents along with the 7 dollars and 17 cents, you come up with $11.16 but since the tax is 5% it adds 0.35 cents more, which ends the total cost with $11.51
Answer: <em>(-2, -1) and (3, 14).</em>
Step-by-step explanation:
<em>x² + 2x - 1 = 5 + 3x</em>
<em>x² + 2x - 1 - 5 - 3x = 0</em>
<em>x² - x - 6 = 0</em>
<em /><em />
<em>y = 5 + 3x</em>
<em>y₁ = 5 + 3 * (-2) = -1</em>
<em>y₂ = 5 + 3 * 3 = 14</em>
<em>The pair of points representing the solution set of this system of equations is (-2, -1) and (3, 14).</em>
Answer: (B) 130 cm
Proof: If a chord and a line from the centre meet, they must be perpendicular. The line from the centre to the chord also bisects the chord. If the distance from the centre of the circle to the chord is 52 cm and the distance of half of the chord is 39 cm, then you can work out using Pythagoras' Theorem the distance of the radius.
r² = 52² + 39²
r² = 4225
r = 65
Thus, the diameter is 2r = 130 cm