Answer:
11. O = (-1, 5/2); 12. H = (1,4)
Step-by-step explanation:
11. Circumcentre
Your points form the vertices of a right triangle (see image below).
The circumcentre (O) of a right triangle must be at the midpoint of the hypotenuse.
Your hypotenuse has the ends at (-3,4) and (1,1), so
O = ((-3 + 1)/2),(4 + 1)/2))
O = (-2/2,5/2)
O = (-1, 5/2)
===============
12. Orthocentre
The orthocentre (H) of a right triangle is the vertex at the right angle.
Your right angle is at (1, 4), so
H= (1,4)
Answer:
It costs $795
Step-by-step explanation:
$30 more than one half so you have to subtract 30 from 295 then that's 265 which is 1/3 of the acual price. So then you have to multiply 265 by 3 then you get $795.
Answer:
The expression that matches the situation is 90.00 - 3x ⇒ 1st answer
Step-by-step explanation:
Let us solve the question
∵ You went to the mall with $90.00
→ That means the total money with you = $90.00
∴ The total money = 90.00 dollars
∵ You bought three shirts that cost x dollars each
∴ The cost of a shirt = $x
∴ The number of shirts = 3
→ Find the total cost of the three shirts
∴ The cost of the shirts = 3 × x
∴ The cost of the shirts = 3x dollars
∵ The money left = the total money - the cost of the shirts
→ Substitute the value of total money and the cost of the shirts
∴ The amount of money left = 90.00 - 3x
∴ You have left with 90.00 - 3x dollars
∴ The expression matches the situation is 90.00 - 3x dollars
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The answer would be 169.
Hope this helps.
-Benjamin
A linear function means you’re working with a line. Lines can be stated in slope-intercept form: y=mx+b.
To make it a linear function, you simply replace “y” with “f(x)” notation: f(x) = mx + b
The information you gave told you m=2 and b=6, since (0,b) is the y-intercept.
Putting that all together you have:
f(x) = 2x + 6