The expression is a perfect square trinomial if and only if c = 121.
<h3>
How to get the value of c?</h3>
A perfect square trinomial is written as:
(a + b)^2 = a^2 + b^2 + 2ab
In this case, we have:
t^2 - 22t + c
We can rewrite this as:
t^2 - 2*11*t + c
Then we have:
a = t
b = -11
And we will have that:
c = b^2 = (-11)^2 = 121
Then we have:
t^2 - 2*11*t + 121
Which is a perfect square trinomial:
(t - 11)^2 = t^2 - 22t + 121
Learn more about perfect squares:
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Answer:
-21/4 + 3s/4
Step-by-step explanation:
Hey there!
First, let's look at what perpendicular means. Imagine a cross, where there's all 90 degree angles. That's exactly what we're talking about when we say perpendicular. The given equation is in slope-intercept form, where we have:
y = mx + b
where m is the slope and b is the y-intercept.
When we're writing an equation with a perpendicular slope, we use the negative reciprocal of the given slope. Thus, we can make 0.3 1/3, and take the reciprocal to make 3, and make it negative 3 as it's the negative reciprocal. Now, we know we have a line with the slope of -3 and goes through (-3, 8). We can use the x and y values in this set of points, along with the slope, to create an equation to solve for b. That gives us:
8 = -3(-3) + b
8 = -9 + b
17 = b
Now, since we have slope and y-intercept, we can write our equation as:
y = -3x + 17
Hope this helps!
<u><em>Parallelogram </em></u>
If you need more help I would be glad to help!:D
~"AB84"~
Answer:
11 or -16
Step-by-step explanation:
The square of a number increased by 5 times the number is equal to 176.
Let the number be x
Then, x²+5x=176
x²+5x-176=0
We use splitting the middle term method
x²+16x-11x-176=0
x(x+16)-11(x+16)=0
(x-11)(x+16)=0
i.e. either x-11=0 or x+16=0
i.e. either x=11 or x=-16
Hence, the number is either 11 or -16
