Answer:
Answer: <u> </u><u>y</u><u> </u><u>=</u><u> </u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u> </u>
Step-by-step explanation:

» At point of intersection:

» Point of intersection is (1, 2)
• General equation of a line:

- m is slope
- c is y-intercept
» Consider point (1, 2);

Equation:

The resulting equation after substitution is
5x + 4(-2x + 6) = 3
quite literally you replaced y with what it equals (as said in the second equation)
you then distribute the 4 within the parenthesis
5x + -8x + 24 = 3
You make it easier
5x - 8x +24 = 3
you combine like terms
-3x + 24 = 3
you subtract 24 from both sides
-3x = -21
you divide both sides by -3
meaning x = 7
you then use that value x = 7 and substitude it for the x in the other equation.
That makes the y equation
y = -2(7) + 6
you then solve
y = -14+6
y = 6 - 14
y = -8
Answer:
-29
Step-by-step explanation:
-3(10)+1
-30+1
-29
Answer:
1 balloon
Step-by-step explanation: if we take 53 divided by 4, we get 13 so each child gets 13 balloons leaving one behind
answer is C. 252 ft^2
split the figure into two pieces and first figure out the rectangle (shown in turquoise).
If you multiply the width and length (18*6) you should get 108.
Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.