Answer:
34 and 19.
Step-by-step explanation:
Since the sum of the two numbers is 53, x+y=53. Since the difference is 15, x-y=15.
Adding x+y=53
and x-y=15,
The ys cancel, leaving 2x=68, or x=34. Therefore, 34-y=15, or y=19.
Since you haven't provided the data to answer the problem, I have my notes here that might guide you solve the problem on your own:
Now, consider a triangle that’s graphed in the coordinate plane. You can always use the distance formula, find the lengths of the three sides, and then apply Heron’s formula. But there’s an even better choice, based on the determinant of a matrix.
Here’s a formula to use, based on the counterclockwise entry of the coordinates of the vertices of the triangle
(x1<span>, </span>y1), (x2<span>, </span>y2), (x3<span>, </span>y3<span>) or (2, 1), (8, 9), (1, 8): </span>A<span> = </span>x1y2<span> + </span>x2y3<span> + </span>x3y1<span> – </span>x1y3<span> – </span>x2y1<span> – </span>x3y2<span>.</span>
Answer:
b
Step-by-step explanation:
(3, -3/2)
Δ ABC is an isosceles right triangle:∠ ABC =∠BCA = V45°
Δ ACE is also a right triangle (inscribed in half a circle.
The sum of its angles = 180° and ∠CAE + ∠ACE = 90 ;
∠ CAE + 57° *given) = 90°, then ∠ CAE = 33°
CALCULATE ∠ BAE:
∠ BAE = ∠BAC + ∠CAE
∠BAE = 45° + 33° = 78°
Answer:
Step-by-step explanation:
Given:
Original price of the ticket is
Price after using the coupon is
Coupon discount is 85% of
Therefore, the price after applying coupon is given as the difference of the original price and the coupon discount. That is,
The graph is shown below. The graph passes through the origin as the above relationship is a proportional relationship.
The line strictly remains in the first quadrant as both and can't be negative as they represent price of tickets and price can never have negative values. Hence, only the first quadrant has both the values of and positive.