Answer:
Step-by-step explanation:
14x - y = -1
14x = y -1
14x +1 = y
Substitute into other problem:
3x + 2(14x +1) =13
3x + (28x + 2) = 13
31x + 2 = 13
31x = 11
x = 11/31
Answer:
Step-by-step explanation:
We are given:
And we want to solve this via completing the square.
First, we will subtract 3 from both sides. This yields:
Next, we will factor out the leading coefficient from the left.
In this case, the leading coefficient is simply 1 so we can leave it as is.
Next, we want to add a constant that is half of the b coefficient squared.
In this case, b = -5.
Half of that is -5/2.
Squaring yields 25/4.
So, we will add 25/4 to both sides. Since our leading coefficient is 1, we don't need to multiply by anything when we add it on the right. Hence:
The left side constitutes a perfect square trinomial as shown:
Factor and subtract:
Taking the square root of both sides gives:
Hence:
Approximate:
Answer:
9.2 ft
Step-by-step explanation:
The shape is a triangle, the 11 ft is your hypotenuse
You need to use the Pythagorean Theorem!
a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)
so --->
a^2 + (6^2) = 11^2
a^2 + 36 = 121
~subtract 36 to the right side~
a^2 = 85
now find the square root of 85:
a = 9.21954
round it to the nearest tenth:
a = 9.2
final answer: 9.2 ft
hope this helpsss
Answer:
45
Step-by-step explanation:
Decreasing by 25% means that there is 25% less of last years amount or 0.25x less. It also means that this year there is only 75% of what was last year actually in the lake or 0.75x. Since last year, there were 60 fish, this means this year there is 0.75(60) = 45. This year has 45 fish.
X=7
So...
7+6=13
Hope this helps!