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:
Step-by-step explanation:
Use math-way go quick and easy answers without step by step explanations, and use math-soup-calculator for step by step explanation
Solving 
we get 
Step-by-step explanation:
We need to find the value of a. We are given:
Solving:
So, Solving we get
Keywords: Solving Expressions
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Answer:
The correct answer is the sales tax charged is $5.61 for $66 dinner at 8.5% tax rate.
Step-by-step explanation:
Cost of the dinner is $22. Tax levied on it is $1.87
Let x% is the rate of tax in the city.
Therefore, x% of 22 = 1.87
⇒ x = 1.87 × 
= 8.5
Therefore 8.5% is the tax rate in the city on foods.
Now another dinner costs $66.
Tax levied on it at the same percentage is given by 8.5% of 66 = $5.61.
Thus $5.61 as sales tax would be charged for a $66 dinner.
Answer:
The dimension of the frame are 
Step-by-step explanation:
Let
x-----> the width of the frame
we know that
----> equation that represent the situation
Using a graphing tool to solve the quadratic equation
The solution is 
see the attached figure
therefore
The dimension of the frame are
