9514 1404 393
Answer:
y = -x -12
Step-by-step explanation:
The slope of the line you want is the same as the slope of the line you have: -1. Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . . . line of slope m through point (h, k)
y -(-7) = -1(x -(-5))
y = -x -5 -7 . . . . subtract 7, eliminate parentheses
y = -x -12 . . . slope-intercept equation
Rachel says that when she ran 115 yards she went farther than Beth who only ran 227 ft. Rachel is correct
<u>Solution:</u>
Given that , Rachel says that when she ran 115 yards she went farther than Beth who only ran 227 ft.
We have to remember that when 1 yard equals 3 ft.
Yes, what Rachel said is correct, let us see how it became correct
In normal view, 115 < 227 but here units are different.
Remember that, for any comparison between two things, we have to take the things in same units.
<em><u>Let us convert 115 yards to feet:</u></em>
![\begin{array}{l}{115 \text { yards }=115 \times 1 \text { yard }} \\\\ {115 \text { yards }=115 \times 3 \text { feet }=345 \text { feet }}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B115%20%5Ctext%20%7B%20yards%20%7D%3D115%20%5Ctimes%201%20%5Ctext%20%7B%20yard%20%7D%7D%20%5C%5C%5C%5C%20%7B115%20%5Ctext%20%7B%20yards%20%7D%3D115%20%5Ctimes%203%20%5Ctext%20%7B%20feet%20%7D%3D345%20%5Ctext%20%7B%20feet%20%7D%7D%5Cend%7Barray%7D)
Now, 345 feet > 227 feet
Which means, Distance covered by Rachel > Distance covered by Beth
Thus Rachel ran more than Beth. Hence, Rachel is correct.
Answer:
20 = viente
Step-by-step explanation: plz mark brainliest
Subtract any term from the next term.
The difference is always 2.4.
8.7 + 2.4 = 11.1
11.1 + 2.4 = 13.5
The next two terms are 11.1 and 13.5.
Answer:
6. x = 15
7. JL = 78
Step-by-step explanation:
6. 8x - 23 = ½(10x + 44) (midsegment theorem)
Multiply both sides by 2
2(8x - 23) = 10x + 44
16x - 46 = 10x + 44
Collect like terms
16x - 10x = 46 + 44
6x = 90
Divide both sides by 6
x = 90/6
x = 15
7. MN = 5x - 16
JL = 4x + 34
MN = ½(JL) (midsegment theorem)
5x - 16 = ½(4x + 34) (substitution)
2(5x - 16) = 4x + 34
10x - 32 = 4x + 34
Collect like terms
10x - 4x = 32 + 34
6x = 66
x = 66/6
x = 11
JL = 4x + 34
Plug in the value of x
JL = 4(11) + 34 = 44 + 34
JL = 78