Answer:
The intersecting point is (-3,-2).
Step-by-step explanation:
The given equations are :
2x−y+4=0
2x−y=-4 .....(1)
x+y=-5 .....(2)
Adding equations (1) and (2).
2x+x = -4-5
3x=-9
x = -3
Put the value of x in equation (2).
-3+y=-5
y = -5+3
y = -2
Hence, the intersecting point is (-3,-2).
Answer:
The answer is 31
Step-by-step explanation:
221 divided by 6 is 36-5=31
This is correct because if you divide 221 by 6 you get 36 the subtract 5 from 36 and get 31. To check this answer just do 31+5=36 times 6 which is 216 and 221 minus 5 is 216:)
Answer:
40
Step-by-step explanation:
Area of the triangle is 24
Area of rectangle is 16
16+24=40
Answer:
Jessie sold x DVDs for $<u>3</u> each and then sold a board game for $<u>12</u>. Jessie made (select) $27 in her sales. How many DVDs did she sell?
She sold 5 DVDs
Step-by-step explanation:
3x+12=27
3x=15
x=5
5 DVDS
Answer:
27 degrees
Step-by-step explanation:
First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.
We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees