Let the numbers be x and y. Then xy = -30 and x+y = -3.
Solve xy = -30 for y: y = -30/x
subst. -30/x for y in x+y= -3: x - 30/x = -3
Multiply all 3 terms by x: x^2 - 30 = -3x, so x^2 + 3x - 10 = 0
Solve this quadratic equation for x. x: {-5, 2}
If x = -5, then x+y = -3 becomes -5 + y = -3, and y = 2.
You should check to determine whether x=2 is also correct. If it is, what is the corresponding y value?
Answer: B
You can find slope by using the slope formula. Because we are already given two coordinate points, we can use that to find our slope. The slope formula is
. This also refers to
or 10/-4 or -5/2. Any coordinate with the x-value as 0 means that that coordinate is the y-intercept. Because (0,5) has 0 as its x-value, the y-intercept is 5.
Answer:
you answer will be D. 52 cm.
Step-by-step explanation:
Hope it helps
Answer:
16
Step-by-step explanation:
1/2 ^(-1)=2
8×2=16
Hope that helped.
A
We can't really do this without seeing 28, but I can give you an educated guess. The best way for me to proceed is to solve c.
The conjecture is that x = a + b. You should always find that to be true. C is the clincher.
Here's how you do that.
x + c = 180o That's true because all straight lines have 180o. If two angles make up the straight line that means that they are always equal to 180o So x + c = 180o
Now we move to the next step. All triangles also have 180o. That means that a + b + c = 180o
So we have two conditions that equal 180o. Equalities can be equated to one another.
a + b + c = x + c Subtract c from both sides.
a + b = x.
Study what has happened. Put in mathese, the two remote interior angles equal the exterior angle, which is what you are trying to prove.
Summary
a cannot be solved without 28
b you should say that the two remote angles (a and b) will always total x
c The proof is provided for you.