y=x²-10x-7
a>0 so we will be looking for minimum
x=-b/2a=10/2=5
y=25-50-7=-32
Answer: (5;32)
y=-4x²-8x+1
а<0 so we will be looking for maximum
х=-b/2a=8/-8=-1
у=4+8+1=13
Maximum point (-1;13)
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Answer:
1.If you are to check the figure you will find that it is a rectangles. You should know the properties of a rectangle.
- we are goin to use the property: Each vertex of a rectangle has angle equal to 90 degrees
- meaning since m∠SUT and m∠ RUS form the vertex when added they give 90°
3x+6+(5x-4)=90°
3x+5x+6°-4°=90°
8x+2°=90°
8x=90°-2°
8x=8°
2.m ∠SUT is donated by 3x+6
and now we know the value of x=11°
m∠SUT=3(11°)+6
m∠SUT=33°+6°
m∠SUT=39°
Applying the triangle proportionality theorem, the missing segment length is: 3.
<h3>What is the Triangle Proportionality Theorem?</h3>
The triangle proportionality theorem states that if a line that is parallel to a third side intersects the other two sides of a triangle, it divides them proportionally.
Let x represent the given segment length. Using the triangle proportionality theorem, we would have:
(12 - 2)/2 = 15/x
10/2 = 15/x
5 = 15/x
5x = 15
x = 15/5
x = 3
The missing segment length is: 3.
Learn more about the triangle proportionality theorem on:
brainly.com/question/25855270
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