Answer:
Step-by-step explanation:
x²+7x-11=-5x+6
x²+7x+5x-11-6=0
x²+12x-17=0

Answer:
Angle A = Angle T
Angle B = Angle U
Angle C = Angle V
Step-by-step explanation:
The order that the angles are listed above shows you which angle in the first triangle corresponds to which angle in the other triangle. It tells you triangle ABC = triangle TUV. Since A and T are both listed first, they are equivalent. Angles B and U are both listed second, so they correspond to each other. And angles C and V are listed last, so they correspond to each other.
We have that
A(-2,-4) B(8,1) <span>
let
M-------> </span><span>the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3
we know that
A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
</span>distance MB is equal to (3/5) AB
<span>so
step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
</span>Mx=-2+(2/5)*10-----> Mx=2
step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2
the coordinates of point M is (2,-2)
see the attached figure
Answer:
<h2><u><em>
288 cm³</em></u></h2>
Step-by-step explanation:
find the volume of one and multiply by six
6 * 2 * 2 * 12 =
288 cm³