Answer:
x - y = 4
x + y = 4
Step-by-step explanation:
Substitute x=4 and y=0 in every equation. If both sides of the equal sign are equal, (LS=RS, left side equals right side) then the graph intersects at (4,0).
- x - y = 4
- (4) - 0 = 4
-4 = 4
LS≠RS
x - y = 4
4 - 0 = 4
4 = 4
LS=RS
2 x + y = 7
2(4) + 0 = 7
8 = 7
LS≠RS
2 x + y = -7
2(4) + 0 = -7
8 = -7
LS≠RS
x + y = 4
4 + 0 = 4
4 = 4
LS=RS
2 x - y = 7
2(4) - 0 = 7
8 - 0 = 7
8 = 7
LS≠RS
Only x - y = 4 and x + y = 4 intersect at (4, 0).
<span> <span>two numbers are related in this way:
the number 1 is subtracted from the first number, the difference is squared, then doubled;the result is equal to the second number. the number 1 is added to the first number, and the sum is squared;the result is equal to 4 minus the second number. determine the numbers. </span></span>
The answer is 11.2
The Pythagorean Theorem says
a^2+b^2=c^2
From the picture, we know one side, and the hypotenuse.
10^2+b^2=15^2
100+b^2=225
b^2=225
Sqrtb^2=sqrt225
b=11.18
Rounded to the nearest tenth it is 11.2
Answer:
- 45 large candles
- 53 small candles
Step-by-step explanation:
Let c represent the number of large candles Jane sold. Then 98-c is the number of small candles. Her revenue is ...
8c +5(98-c) = 625
3c + 490 = 625 . . . . . . eliminate parentheses, collect terms
3c = 135 . . . . . . . . . . . . subtract 490
c = 45 . . . . . . . . . . . . . . divide by 3
Jane sold 45 large candles and 98-45 = 53 small candles.
