Answer:
hypotenuse is not a rational number
Step-by-step explanation:
In a Right angled triangle , if a, b are the sides and h be the hypotenuse then relationship between them is given by
= 
+ 
Here,
a= 4 in. [Given]
b = 6 in. [Given]
Thus ,
= 
+ 
= 16 + 36
= 52.
h = 
= 7.21110255......
Clearly, h is not a rational number
Answer:
D 73º
Step-by-step explanation:
Total angles
a = (sides - 2) * 180
a = (5 - 2) * 180
a = 540
-------------------
Missing angle
x = 540 - (104 + 118 + 96 + 115)
x = 107
a is supplementary to x
m∠A = 180 - 107
m∠A = 73º
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
Step 1: Subtract 7 from both sides.<span><span><span><span>4x</span>+7</span>−7</span>=<span>23−7</span></span><span><span>4x</span>=16</span>Step 2: Divide both sides by 4.<span><span><span>4x</span>4</span>=<span>164</span></span><span>x=4</span>Answer:<span>x=<span>4</span></span>
Answer:
D is the right answer just do on edj
Step-by-step explanation:
