1) MB=1/2AM; MB=1/2*26=13 катет , лежащий пртив угла 30градусв равен половине гипотенузы)
2)∠A+∠M=90 (cсумма острых углов прям-ого тр-ка)
∠А=90-∠В; ∠А=90-60=30град
МВ=1/2 *АМ; МВ=1/2*30=15
3)∠А=90-45=45градусов
ΔАМВ-прямоугольный, равнобедренный; МВ=АВ=10
<span>5(х-3)-3(3-х)²=5(х-3)-(х-3)²=(х-3)(5-3(х-3)=</span><span>(х-3)(5-3х+9)=(х-3)(14-3х)</span>
1) - 6x + 1 = 5x + 9
- 6x - 5x = 9 - 1
- 11x = 8
x = 8 : ( - 11) =
![- \frac{8}{11}](https://tex.z-dn.net/?f=-+%5Cfrac%7B8%7D%7B11%7D+)
y = 5* (
![- \frac{8}{11}](https://tex.z-dn.net/?f=-+%5Cfrac%7B8%7D%7B11%7D+)
)+9 =
![- \frac{40}{11}+9 = - 3 \frac{7}{11}+9](https://tex.z-dn.net/?f=-+%5Cfrac%7B40%7D%7B11%7D%2B9+%3D+-+3+%5Cfrac%7B7%7D%7B11%7D%2B9+)
=
![5 \frac{4}{11}](https://tex.z-dn.net/?f=5+%5Cfrac%7B4%7D%7B11%7D+)
Координаты точки пересечения графиков
![(- \frac{8}{11}; 5 \frac{4}{11} )](https://tex.z-dn.net/?f=%28-++%5Cfrac%7B8%7D%7B11%7D%3B+5+%5Cfrac%7B4%7D%7B11%7D+%29+)
2) - 17 + 3,4x = - 1,2x + 69
3,4x + 1,2x = 69 + 17
4,6x = 86
x =
![\frac{430}{23} = 18 \frac{16}{23}](https://tex.z-dn.net/?f=+%5Cfrac%7B430%7D%7B23%7D+%3D+18+%5Cfrac%7B16%7D%7B23%7D+)
y = - 1,2 *
![18 \frac{16}{23}](https://tex.z-dn.net/?f=18+%5Cfrac%7B16%7D%7B23%7D+)
+ 69 =
![- \frac{516}{23} +69 = - 22 \frac{10}{23} +69 = 46 \frac{13}{23}](https://tex.z-dn.net/?f=-+%5Cfrac%7B516%7D%7B23%7D+%2B69+%3D+-+22+%5Cfrac%7B10%7D%7B23%7D+%2B69+%3D+46+%5Cfrac%7B13%7D%7B23%7D+)
Координаты точки пересечения графиков
![(18 \frac{16}{23} ; 46 \frac{13}{23})](https://tex.z-dn.net/?f=%2818+%5Cfrac%7B16%7D%7B23%7D+%3B+46+%5Cfrac%7B13%7D%7B23%7D%29+)