Answer:
![\frac{p + 1}{p - 8}](https://tex.z-dn.net/?f=%5Cfrac%7Bp%20%2B%201%7D%7Bp%20-%208%7D%20%20)
Step-by-step explanation:
![The \: slope: \frac{2p + 1 - p}{p - 5 - 3} = \frac{p + 1}{p - 8}](https://tex.z-dn.net/?f=The%20%20%5C%3A%20slope%3A%20%5Cfrac%7B2p%20%2B%201%20-%20p%7D%7Bp%20-%205%20-%203%7D%20%20%3D%20%20%5Cfrac%7Bp%20%2B%201%7D%7Bp%20-%208%7D%20)
Answer:
x=7
Step-by-step explanation:
since the ray bisects we know <CAT and <TAR are equal
so we can set up the equation like this: <CAT + <CAT = <CAR
(5x)+(5x)=(9x+7)
calculate equation and you'll get x=7
Answer:
Range is [1, ∞)
Step-by-step explanation:
The values of x can be 1 up to infinity (the domain).
When x = 1 , f(x) = 1^2 = 1
when x = ∞, x^2 = ∞
So the range is [1, ∞)
Irrational numbers can be written as decimals but not as fractions.
0.144 is a decimal, but it can also be written as 18/125. So this is a rational number.
√0.144 is equal to 0.3794733192. It cannot be expressed into a fraction. So, this is an irrational number.
√0.0144 is equal to 3/25. So, this is a rational number.
I hope I was able to help you. Have a good day.
We have altitude h to side AB and AB=h, i.e. the altitude is congruent to the side it goes to.
That's all kinds of triangles. One way to see them is using two horizontal parallel lines h apart, the bottom one with a base AB=h somewhere on it. Then any C on the top line makes a triangle ABC with altitude h=AB.
Let's go through the choices.
I. ABC could be a right triangle. That's TRUE.
We could have the isoscleles right triangle, C directly above B, so AC is the leg and an altitude, AB=AC and B is the right angle.
II. Angle C cannot be a right angle. That's TRUE.
The biggest angle C can be is when it's over the midpoint of AB, so if AB=2, h=2, and
![AC=\sqrt{2^2+1^2}=\sqrt{5}](https://tex.z-dn.net/?f=AC%3D%5Csqrt%7B2%5E2%2B1%5E2%7D%3D%5Csqrt%7B5%7D)
so
![C_{\textrm{max}} = 2 \arctan(1/2) \approx 53.13^\circ](https://tex.z-dn.net/?f=C_%7B%5Ctextrm%7Bmax%7D%7D%20%3D%202%20%5Carctan%281%2F2%29%20%5Capprox%2053.13%5E%5Ccirc)
III. Angle C could be less than 45 degrees. That's TRUE.
As long as C stays on our top parallel, we can make it as acute as we like by going farther away from AB.
All true. Hmmm.