Answer:
X= -34
Step-by-step explanation:
Answer:
y=-2x-12
Step-by-step explanation:
first, putt 3x-6y=2 in standard form:
subtract 3x from both sides: -6y=-3x+2
divide both sides by -6 to isolate y: y=1/2x-1/3
if the other line is perpendicular to this, you must find the slope by finding the opposite reciprocal of 1/2x: -2
now we have 2 points a slope, so we use the point-slope formula: y-y1=m(x-x1)
y+2=-2(x+5)
Use the distributive property: y+2=-2x-10
subtract 2 for both sides to isolate y: y=-2x-12
What do you need help on. I may be able to help
Area of the composite shape = 292 yd²
Solution:
The shape is splitted into two rectangles.
The reference image of the answer is attached below.
Length of the top rectangle = 21 yd
Width of the top rectangle = 29 yd – 22 yd = 7 yd
Length of the side rectangle = 29 yd
Width of the side rectangle = 26 yd – 21 yd = 5 yd
Area of the figure = Area of the top rectangle + Area of the side rectangle
= (length × width) + (length × width)
= (21 × 7) + (29 × 5)
= 147 + 145
= 292
Area of the composite shape = 292 yd²
Write the equation
popcorn, x
drinks, y
51.25 = 5x + 5y
122.25 = 15x + 8y
<span>Multiply the 1st row by 3
</span><span>15x+15y=153.75</span>
<span><span><span>15x+8y=122.25</span>1
</span></span><span>Subtract the 2nd row from the 1st row
</span>7y=31.<span>5
</span>Divide both sides by <span><span>7
</span></span>y=<span><span><span>31.5</span></span><span>/7
simplify
y = 4.5
</span></span>Substitute <span>y=4.5</span><span> into any of the two equations above
Let's pick the first equation
</span><span><span><span>15x+15y=153.75
</span></span></span>15x+15(4.5)=153.75
<span>Simplify
</span>15x+67.5=153.7<span>5
</span>Subtract <span>67.5</span> from both sides
15x=153.75−67.<span>5
</span><span>Simplify
</span><span>15x=86.25</span>
Divide both sides by <span><span><span>15
</span></span></span><span>x=<span><span><span>86.25</span></span><span>/15
Simplify
</span></span></span><span><span>x=5.75
Therefore,
</span></span><span>x=5.75</span>
<span><span><span>y=4.5
Follow along on a piece of paper, it'll help you get it.</span></span></span>
