Answer:
I would like to say A because Diagonals of a rectangle Bisect each other at a right angle.
This seems likely
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Answer:
(6.8, 1.3)
Step-by-step explanation:
<u>Given</u>:
A(-3, -5), B(11, 4)
<u>Find</u>:
P such that AP/AB = 7/10
<u>Solution</u>:
Using the desired relation, we have ...
(P -A)/(B -A) = 7/10
10(P -A) = 7(B -A) . . . . . multiply by 10(B-A)
10P = 7B +3A . . . . . . . . add 10A to both sides
10P = 7(11, 4) +3(-3, -5) = (77 -9, 28 -15) = (68, 13)
P = (68, 13)/10 = (6.8, 1.3)
The point 7/10 of the way from A to B is (6.8, 1.3).
Answer:
No
Step-by-step explanation:
If the lines are perpendicular then they will be the negative reciprocals of each other.
Calculate the slope using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = P(- 8, - 10) and (x₂, y₂ ) = Q(- 5, - 12)
= 
= - 
Repeat the process with
(x₁, y₁ ) = R(9, - 6) and (x₂, y₂ ) = S(17, - 5)
= 
= 
The slopes are not the negative reciprocal of each other, thus they are not perpendicular.
The ordered pair is included in the solution set to the following system is (0,2)
<h3>Set of inequalities</h3>
Given the set of inequalities
y > x2 + 1
y < x2 – x + 1
Equate both expressions to have:
x^2 + 1 = x^2 - x +1
1 = -x + 1
x = 0
Substitute x = 0 into any of the function
y = x^2 + 1
y = 1
This shows that the ordered pair is included in the solution set to the following system is (0,2)
Learn more on inequality here: brainly.com/question/24372553
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Answer:
The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = 1/5|h - 240| - 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet).
Step-by-step explanation:
