Answer: (x 1 ,y 1)=(2,3) and (x 2,y 2)=(4,7)by midpoint formula, coordinates of mid point =( 2x 1+x 2, 2y 1 +y 2)=( 22+4, 23+7 )=( 26 , 210)=(3,5).
Step-by-step explanation: Hope this helps
Answer:
The sum of two numbers is 14 and their difference is 10
Step-by-step explanation:
"2 numbers (x and y)
x+y = 14
and x-y + 10
If you each equation by positive 2, one gets 2x+2y = 28 and 2x-2y = 20
The 'y-terms' cancel out or equal zero when adding, so 4x = 48, divide by 4 on each side and x or the first number equals 12.
Plug 12 back into the equation for 'x' and subtract 12 on both sides so that y=2
The difference of 12-2=10 and the addition of 12 and 2 equals 14"
hopes this helps
Answer:
No
Step-by-step explanation:
In this particular scenario, based on the numbers I would say that it does not make sense to represent this with a constant rate. That is because in a span of three years the change between each year is completely different, for example, between the first and second year there was a change of
9.75 - 8.50 = 1.25 dollar change
1.25 / 8.50 = 0.147 or a 14.7% increase
Between the second and third year, there was a change of
12 - 9.75 = 2.25 dollar change
2.25 / 9.75 = 0.23 or 23% increase
Therefore, each year the percent and dollar value increase is increasing more and more which would not be a constant rate.
Answer: The largest angle formed during his trip is at the mall between his home and the library.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.
The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.
So, the largest angle formed during his trip is at the mall between his home and the library.
Feel free to ask for more if needed or if you did not understand something.
Answer:
<u>AP = 13</u>
Step-by-step explanation:
See the attached figure.
CD = 10 and XY = 24
Line XY bisects and is perpendicular to AB and CD
∴ XY bisects at Y
∴ CY = 0.5 CD = 0.5 * 10 = 5
And from the geometry of the shape
P is the midpoint of XY
∴ XP = YP = 0.5 XY = 0.5 * 24 = 12
XY is perpendicular to CD
∴ ΔPYC is a right triangle at Y
∴ PC (hypotenuse) = 
From the figure AP = PC = 13
