Please help on this i dont get it at all!
1 answer:
I hope this helps you out!!
We start off by drawing out the triangle on a graph! Placing points (x ,y) at
(-3, 5), (-5, -2) and (2, -2). I've included a screenshot of how the triangle should look to help you out visually!
From there, to find the area we use the equation, area = b • h.
To find the base, we subtract: -5 - 2 = -7, meaning that the base equals 7.
And to find the height, we subtract: 5 - (-2) = 7, also meaning that the height equals 7 as well.
Plugging those two numbers in the equation for area, we get:
area = 7 • 7
area = 49
area = 24.5 or 24 1/2, in this case your answer should be B.
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Answer:
Step-by-step explanation:
The quadratic formula for a equation of form
ax²+bx + c = 0 is
For the first equation,
x²+3x-4=0,
we can match that up with the form
ax²+bx + c = 0
to get that
ax² = x²
divide both sides by x²
a=1
3x = bx
divide both sides by x
3 = b
-4 = c
. We can match this up because no constant multiplied by x could equal x² and no constant multiplied by another constant could equal x, so corresponding terms must match up.
Plugging our values into the equation, we get
as our possible solutions
Plugging our values back into the equation, x²+3x-4=0, we see that both f(-4) and f(1) are equal to 0. Therefore, this has 2 real solutions.
Next, we have
x²+3x+4=0
Matching coefficients up, we can see that a = 1, b=3, and c=4. The quadratic equation is thus
Because √-7 is not a real number, this has no real solutions. However,
(-3 + √-7)/2 and (-3 - √-7)/2 are both possible complex solutions, so this has two complex solutions
Finally, for
4x² + 1= 4x,
we can start by subtracting 4x from both sides to maintain the desired form, resulting in
4x²-4x+1=0
Then, a=4, b=-4, and c=1, making our equation
Plugging 1/2 into 4x²+1=4x, this works as the only solution. This equation has one real solution