Answer:
<h2>
y = -¹/₄x - 1</h2>
Step-by-step explanation:
If two lines are perpendicular then the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 4x - 2 ⇒ m₁=4
4×m₂ = -1 ⇒ m₂ = -¹/₄
The line y=-¹/₄x+b passes through point (4, -2) so the equation:
-2 = -¹/₄×4 + b must be true
-2 = -1 + b
b = -1
Therefore equation in slope-intercept form:
y = -¹/₄x - 1
Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
<h3>What are Similar Triangles?</h3>
- Similar triangles have corresponding side lengths that are proportional in length.
- Similar triangles have same shape but are of different sizes.
Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
Learn more about similar triangles on:
brainly.com/question/2644832
Answer:
A.72
Step-by-step explanation:
V=1
4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4
V=1
4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1
4·3·﹣64+2·(6·8)2+2·(6·10)2﹣84+2·(8·10)2﹣104=72
Answer:

Step-by-step explanation:

Multiply.

Hope this helps!