What is 107 divided by 15
2 answers:
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Answer:
S(-2, -3)
Step-by-step explanation:
Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;
S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;
x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1
Substitute the values into the formula;
X = ax2+bx1/a+b
X = 3(-1)+1(-5)/3+1
X = -3-5/4
X = -8/4
X = -2
Similarly;
Y = ay2+by1/a+b
Y = 3(-5)+1(3)/3+1
Y = -15+3/4
Y = -12/4
Y = -3
Hence the coordinate of the point (X, Y) is (-2, -3)
Answer:
- The value of PR is 21 ft.
Step-by-step explanation:
<u>We know that:</u>
- 3(PQ + QT + TP) = PR + RS + SP
- PQ = 7 ft.
- QT = 4 ft
- RS = 12 ft.
<u>Work:</u>
- 3(PQ + QT + TP) = PR + RS + SP
- => 3(7 + 4 + TP) = PR + 12 + SP
- => 21 + 12 + 3TP = PR + 12 + SP
- => 21 + 3TP = PR + SP
- => 21 + SP = PR + SP [3TP = SP]
- => 21 = PR
Hence, <u>the value of PR is 21 ft.</u>
Hoped this helped.