Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse
<h3>Right angled triangle</h3>
A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.
For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.
Find the slopes of AB, BC and AC
Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5
Slope of BC = 0-5/7-1
Slope of BC = -5/6
Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11
Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1
Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse
Learn more on right angle triangle here: brainly.com/question/22790996
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16x + 21y = 555
Step-by-step explanation:
Let x be the no. of 18-hole course
And y be the no. of golf balls
16x + 21y = 555
To solve this question, we just need to insert 12 into the m position of each question and see if the equation holds true.
a. 4m = 40
4(12) = 40
48 = 40
48 obviously does not equal 40, so it is not choice A.
b. m + 20 = 42
12 + 20 = 42
32 = 42
Again, 32 isn't the same as 42, so not choice B either.
c. 4m = 48
4(12) = 48
48 = 48
It looks like this one is true, but let's solve D also just to make sure.
d. m - 4 = 9
12 - 4 = 9
8 = 9
This is false, since 8 does not equal 9.
Therefore, choice C (4m = 48) is the correct answer.
Hope that helped! =)
87. Juanita started with 40 dollars in her pocket.
Then she bought one CD for 7.99 dollars and 1 DVD for 8.99 dollars.
It has a sales tax of 7% on these items.
Plus she bought a lunch for 4.25 dollars including tax
Solve:
=> 7.99 dollars + 8.99 dollars = 16.98 dollars
=> 16.98 dollars * .07 = 1.2 dollars
=> 16.98 + 1.2 = 18.18 dollars
Plus the lunch
=> 18.18 + 4.25 = 22.43 dollars
=> 40 – 22.43 = 17.57 dollars
Answer:
8
Step-by-step explanation:
f(1)=7(1-1)+8
f(1)=7(0)+8
f(1)=0+8
f(1)=8
