There is no solution for this equation since they have the same slope, x/1. The only difference between these two is that their y intercepts are different meaning that they will be parallel lines that will never intersect among one other. For example, think of it as two separate lines that are have the same slope and never gain more distance/units from one another.
Solve:
To solve, you have to get one of this equations into a Ax+By=C equation form, standard equation. Let’s change y=x+4 into a standard equation.
We have to get x and y together and 4 as C.
So let’s subtract x from both sides;
y=x+4
-x -x
————————
-x+y=4
This is a standard equation.
Now let’s substitute.
take the standard equation and plug in y which is x+4 since there is a equation meaning it’s y=x+4
-x+(x+4)=4
Let’s simplify this mess.
-x+x equals 0. So we are left with 4=4.
Subtract 4 from both sides and we get 0=0
This means there is no solution. Hoped this helped.
cos θ = , sin θ = , cot θ = 4/7, sec θ = , cosec θ =
<h3>What are trigonometric ratios?</h3>
Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin θ: Opposite Side to θ/Hypotenuse
Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos
Cos θ: Adjacent Side to θ/Hypotenuse
Sec θ: Hypotenuse/Adjacent Side & 1/cos θ
Analysis:
tan θ = opposite/adjacent = 7/4
opposite = 7, adjacent = 4.
we now look for the hypotenuse of the right angled triangle
hypotenuse = = =
sin θ = opposite/ hyp =
Rationalize, x =
But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.
Therefore, sin θ = -
cos θ = adj/hyp =
By rationalizing and knowing that cos θ is negative, cos θ = -
cot θ = 1/tan θ = 1/7/4 = 4/7
sec θ = 1/cos θ = 1/ = -
cosec θ = 1/sin θ = 1/ =
Learn more about trigonometric ratios: brainly.com/question/24349828
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Answer:
6
Step-by-step explanation:
P(6) = ⅙
Expected no. of trials for first 6:
1 ÷ (1/6) = 6
The volume of a sphere of radius r is given by
For your given conditions, the volume of 1/2 a sphere becomes
Seems to match your 2nd choice:
... 1 over 24 over 322 over 7(83)