Répondre:
r <27
Explication étape par étape:
Compte tenu de l'inégalité 5r + 9> 10r - 126
Nous devons trouver l'ensemble de solutions
5r + 9> 10r - 126
Ajouter 126 des deux côtés
5r + 9 + 126> 10r - 126 + 126
5r + 135> 10r
5r-10r> -135
-5r> -135
Divisez les deux côtés par -5 (notez que le signe changera)
-5r / -6 <-135 / -5
r <27
Par conséquent, les ensembles de solutions sont des valeurs inférieures à 27
Answer:
y = 7x - 4
just as it says in words
The distance between any 2 points P(a,b) and
Q(c,d) in the coordinate plane, is given by the formula:<span>
<span>
</span></span>
Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.
![|PA|= \sqrt{ (-2-2)^{2} + (-2-1)^{2}}= \sqrt{16+9}= \sqrt{25}=5](https://tex.z-dn.net/?f=%7CPA%7C%3D%20%5Csqrt%7B%20%28-2-2%29%5E%7B2%7D%20%2B%20%28-2-1%29%5E%7B2%7D%7D%3D%20%5Csqrt%7B16%2B9%7D%3D%20%5Csqrt%7B25%7D%3D5%20%20)
![|PB|= \sqrt{ (-2-4)^{2} + (-2+1)^{2}}= \sqrt{36+1}= \sqrt{37} \approx 6](https://tex.z-dn.net/?f=%7CPB%7C%3D%20%5Csqrt%7B%20%28-2-4%29%5E%7B2%7D%20%2B%20%28-2%2B1%29%5E%7B2%7D%7D%3D%20%5Csqrt%7B36%2B1%7D%3D%20%5Csqrt%7B37%7D%20%5Capprox%206%20)
![|PC|= \sqrt{ (-2-2)^{2} + (-2+3)^{2}}= \sqrt{16+1}= \sqrt{17}\approx4](https://tex.z-dn.net/?f=%7CPC%7C%3D%20%5Csqrt%7B%20%28-2-2%29%5E%7B2%7D%20%2B%20%28-2%2B3%29%5E%7B2%7D%7D%3D%20%5Csqrt%7B16%2B1%7D%3D%20%5Csqrt%7B17%7D%5Capprox4%20)
![|PD|= \sqrt{ (-2+6)^{2} + (-2+6)^{2}}= \sqrt{16+16}= \sqrt{32}\ \textgreater \ \sqrt{25}=5](https://tex.z-dn.net/?f=%7CPD%7C%3D%20%5Csqrt%7B%20%28-2%2B6%29%5E%7B2%7D%20%2B%20%28-2%2B6%29%5E%7B2%7D%7D%3D%20%5Csqrt%7B16%2B16%7D%3D%20%5Csqrt%7B32%7D%5C%20%5Ctextgreater%20%5C%20%20%5Csqrt%7B25%7D%3D5%20%20)
![|PE|= \sqrt{ (-2+5)^{2} + (-2-1)^{2}}= \sqrt{9+9}= \sqrt{16}=4](https://tex.z-dn.net/?f=%7CPE%7C%3D%20%5Csqrt%7B%20%28-2%2B5%29%5E%7B2%7D%20%2B%20%28-2-1%29%5E%7B2%7D%7D%3D%20%5Csqrt%7B9%2B9%7D%3D%20%5Csqrt%7B16%7D%3D4%20)
Answer: B and D
Divide -10 in 15 = -0.666666666
Where's the "triangle with alt. BD?" This problem can be solved without the diagram, but the solution would be easier with it.
BD is the altitude. Find the length of BD by finding the dist. between (-1,4) and (2,4); it is 2-(-1), or 3. |BD| = 3.
I've graphed the triangle myself and have found that the "base" of the triangle is the vertical line thru (2,1) and (2,6); its length is 6-1, or 5.
Thus, the area of this triangle is A = (b)(h) / 2, or A = (5)(3) / 2 = 10/3 square inches.