School to mall - 16 miles
mall to library - 30 miles
16²+30²=X²
256+900=X²
X²=1156
X=34
16+30=46
hypotenuse = 34
46-34=12
So Mike travel 12 miles more.
The pyramid has a greater volume.
The volume of the cone is 1436.7 ( to 5 sf )
The volume of the pyramid is 1437.3 ( to 5 sf )
Both of them is 1440 when rounded off to 3 sf. However , the volume of the pyramid is greater.
( so sorry I can’t explain well but I hope it helps )
The solution is in the picture:) hope you understand better!! Sorry if It’s confusing
<span>1. For the data in the table, does y vary directly with X? If it does write an equation for the direct variation.(X,y) (8,11) (16,22) (24,33)
</span><span>
Yes y=1.375x
</span><span>2.for the data in the table, does y vary directly with X? If it does write an equation for the direct variation. (X,y) (16,4) (32,16) (48,36)
</span>No y does not very directly with x*** <span>
</span><span>3. (Time/hour,distance/miles)(4,233) (6,348) (8,464) (10, 580)
Express the relationship between distance and time in a simplified form as a unit rate. Determine which statement correctly interprets this relationship.
</span><span>58/1 your car travels 58 miles in 1 hour
</span><span>4.what is the slope of the line that passes through the pair of points (2,5) and (8,3)
</span>-1/3
<span>4.what is the slope of the line that passes through the pair of points (-5.2,8.7) and (-3.2,2.7)
</span>
-3
<span>5. What is the slope of the line that passes through the pair of points (3/2,-2) and (-3,7/3)
-26/27
</span><span>6.write an equation in point slope from for the line through the given point with the given slope (5,2) m=3
Y-2=3(X-5)
7. Write an equation in point slope form for the line through the given point with the given slope (-3,-5) m=-2/5
Y+5=-2/5(X+3)
</span><span>8. Write an equation in point slope from for the line through the given point with the given slope. (4,-7) m=-0.54
Y+7=-0.54(x-4)
9. The table shows the height of a plant as it grows. Which equation in point slope from gives the plants height (time,plant height) (2,16)(4,32)(6,48)(8,64)
Y-16=8(X-2)***
</span>
<span>10. Write y=-2/3x+7 in standard form
2x+3y=21
11. Write y=-1/2x+1 in standard form using integers
X+2y=2
</span>
<h3><u>
Answer:</u></h3>
D
<h3><u>
Step-by-step explanation:</u></h3>
let's rewrite this
x + y = 11 <em>- equation 1</em>
- x = - y - 9 <em>- equation 2</em>
solve the first equation for x
x + y = 11 (add -y to both sides to get x by itself)
x = -y + 11 <em> - equation 3</em>
now substitute -y + 11 for x in the second equation
y - 11 = - y - 9 (2 negative signs next to each other equals positive)
2y - 11 = -9 (add y to both sides)
2y = 2 (add 11 to both sides)
y = 1 (divide both sides by 2)
now substitute y = 1 into equation 3
x = -1 + 11
x = 10
therefore, x = 10 and y = 1. in coordinates, x goes before y
therefore, the coordinates are (10, 1)
therefore the answer is D
good luck my friend! hope this helped a lot! also, i found a website if you don't fully understand this, its called MathPapa, i didn't use it to work this out so my working might be different but it definitely helps me sometimes. for an equation like this, type it likes this: x+y=11; -x=-y-9
-cheesetoasty
