Answer:
50%
Step-by-step explanation:
If there are 4 parts to the spinner, 4 is the whole. Since there are 2 even numbers (2&4), the fraction would be
, which is simplified to
. And because
could also turn into
, the percentage is 50%.
Hope this helps :)
Answer:
True
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 9), thus
y = a(x + 4)² - 9
To find a substitute the coordinates of the zero (- 7, 0) into the equation.
0 = a(- 7 + 4)² - 9, that is
0 = 9a - 9 ( add 9 to both sides )
9a = 9 ( divide both sides by 9 )
a = 1, thus
y = (x + 4)² - 9 ← expand factor using FOIL
y = x² + 8x + 16 - 9
y = x² + 8x + 7
Answer:
If
is divisible by 3, the n is also divisible by 3.
Step-by-step explanation:
We will prove this with the help of contrapositive that is we prove that if n is not divisible by 3, then,
is not divisible by 3.
Let n not be divisible by 3. Then
can be written in the form of fraction
, where x and y are co-prime to each other or in other words the fraction is in lowest form.
Now, squaring

Thus,


It can be clearly seen that the fraction
is in lowest form.
Hence,
is not divisible by 3.
Thus, by contrapositivity if
is divisible by 3, the n is also divisible by 3.
Answer:
The value of x = 13cm and y = 12cm.
Step-by-step explanation:
P is the exterior point to the circle with centre O
Radius = 5cm
Length of the tangent = 12 cm
Distance between the point and centre of the circle = x cm
We know that
The angle between the radius of the circle and the tangent at the point of contact is 90°
By Pythagoras Theorem
Hypotenuse² = Side²+Side²
⇛x² = 12²+5²
⇛x² = 144+25
⇛x² = 169
⇛x² = 13²
<h3>⇛x = 13 cm</h3>
We know that
The lengths of tangents drawn from the exterior point to the circle are equal.
<h3>y = 12 cm</h3>
<u>Answer</u><u>:</u> The value of x=13cm and y = 12cm.
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Answer:
The slope of the line is 3.
Step-by-step explanation:
Using the rise over run rule, we are able to tell the slope is 3/1, which is just 3.