The transformed equation is:
Step-by-step explanation:
We have to convert the equation in the form
Given equation is:
Adding 8 on both sides
In the given equation
a = x
b= ?
So,
So 3^2 will be added on both sides
Hence,
The transformed equation is:
Keywords: Quadratic equation, transformation
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Answer:
Original side of triangle = 6 units
Step-by-step explanation:
Given:
Perimeter = 45 units
Scale factor = 2.5 (Increase)
Find:
Original side of triangle = ?
Computation:
Original Perimeter = Perimeter / Scale factor
Original Perimeter = 45 units / 2.5
Original Perimeter = 18 units
Perimeter of an equilateral triangle = 3 (Side)
18 units = 3 (Side)
Side = 6 units
Original side of triangle = 6 units
Answer:
see graph of y = 5x - 7
Step-by-step explanation:
If graphing is the task, you should rewrite the equation in a y = ax + b form. All straight lines can be described in this form, only the a and b determine which line it is.
Your equation 5x-y=7 has the 5x on the left side, so lets move it to the right. It will get a negative sign (this is the same as subtracting 5x like you did in your picture)
5x - y = 7
-y = 7 - 5x
Now we still have the -y which should be a +y. So we multiply left and right with -1 and get:
y = -7 + 5x
If we swap the -y and 5x (we can, because they are just an addition), we get:
y = 5x - 7
Now the equation is in its "normal" form. It's like the y = ax + b with a and b chosen as a=5 and b=-7.
The normal form is handy because you can immediately see the slope is 5 and the intersection with the y-axis is at y=-7.
Given:
Number of 100-meter races = 5
The time it took Isabella to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.
To find:
The decimals in order from greatest to least.
Solution:
The time it took Isabella to complete each race, in seconds, was shown below:
12.7, 12.807, 12.78, 12.08, 12.087
We need to arrange this data in descending order.
In all 5 numbers the digits before decimals are same. On comparing the digits on the tenth place and hundredth place, we get
12.807 > 12.78 > 12.7 > 12.087 > 12. 08
Therefore, the required order of given data is 12.807, 12.78, 12.7, 12.087, 12. 08.
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
7)
now decide which parts we know and what we want to slove for and pick the function that has those in it
we also know that small angle down at the point b/c we can use that the inside of trianle angles add to 180
180 = 75 + 90 + X
15° = X
where x is the angle at that sharp point on the triangle
I want to use that 15° angle in one of the above formulas as it's Opposite of that side we want to know, and also adjcent to that side we know , so i'll pick TOA since it's got all of those in it. Opp = x for this triangle
Tan(15) = Opp / 15
15* Tan(15) = Opp
4.0192 = Opp
so that's x
x = 4.0162 units , what ever they are
8)
the angle is 43° and we know the adjacent side and we want the Hypotenuse , now i'll pic CAH since it's got those pieces in it
Cos(43)= 31 / Hyp
some algebra just to switch Hyp out of the denominator
Hyp = 31 / Cos(43)
some tapping on my calculator
Hyp = 41.714
That's x for the second triangle
x = 41.71 units , what ever they are
:)
