Answer:
Line M - neither
Line N - parallel
Line P - perpendicular
Line Q - neither
Step-by-step explanation:
If a line is perpendicular to another, the slope will be the opposite, e.g. -6, opposite slope, -6.
If a line is parallel to another, the slope will be the exact same, e.g. -6, same slope, 1/6.
The measures of the angles ABCD are the same as the measures of the angles that is corresponding based on the reflected images.
<h3>How to show that the angles are equal</h3>
Based on the fact that this is a reflection, the angles would be equal measures.
What this means is that there is a preservation of the of the reflected image. This is the same logic for the length of the sides.
The reflection is known to be a rigid type of transformation that is known to have its angles and sides preserved.
Read more on reflection in mathematics here:
brainly.com/question/1908648
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Gradient:3
Y intercept:(0,2)
Answer:
1. spends $80
2. Each garlic bread costs the same
3. Orders a pizza for 25.50 and two garlic breads
Step-by-step explanation:
Answer with explanation:
→→→Function 1
f(x)= - x²+ 8 x -15
Differentiating once , to obtain Maximum or minimum of the function
f'(x)= - 2 x + 8
Put,f'(x)=0
-2 x+ 8=0
2 x=8
Dividing both sides by , 2, we get
x=4
Double differentiating the function
f"(x)= -2, which is negative.
Showing that function attains maximum at ,x=4.
Now,f(4)=-4²+ 8× 4-15
= -16 +32 -15
= -31 +32
=1
→→→Function 2:
f(x) = −x² + 2 x − 3
Differentiating once , to obtain Maximum or minimum of the function
f'(x)= -2 x +2
Put,f'(x)=0
-2 x +2=0
2 x=2
Dividing both sides by , 2, we get
x=1
Double differentiating the function,gives
f"(x)= -2 ,which is negative.
Showing that function attains maximum at ,x=1.
f(1)= -1²+2 ×1 -3
= -1 +2 -3
= -4 +2
= -2
⇒⇒⇒Function 1 has the larger maximum.
