Answer:
1 inch = 82 miles
Step-by-step explanation:
You can divide each of the terms of this ratio by 14 to get the ratio for 1 inch:
14 in : 1148 mi
= (14 in)/14 : (1148 mi)/14
= 1 in : 82 mi
Y=2/3x -5/2
Slope is equal to the parallel line (2/3)
Find y intercept by setting y and x equal the given coordinates and solve.
Given:
QSR is a right triangle.
QT = 10
TR = 4
To find:
The value of q.
Solution:
Hypotenuse of QSR = QT + TR
= 10 + 4
= 14
Geometric mean of similar right triangle formula:
Do cross multiplication.
Switch the sides.
Taking square root on both sides.
The value of q is 
.
Answer:
Discount selling price= $172.5
Step-by-step explanation:
Giving the following information:
Selling price= $230
Discount rate= 25%
<u>To calculate the discount selling price, we need to use the following formula:</u>
Discount selling price= selling price*(1 - discount rate)
Discount selling price= 230* (1-0.25)
Discount selling price= $172.5
The vertex of this parabola is at (3,-2). When the x-value is 4, the y-value is 3: (4,3) is a point on the parabola. Let's use the standard equation of a parabola in vertex form:
y-k = a(x-h)^2, where (h,k) is the vertex (here (3,-2)) and (x,y): (4,3) is another point on the parabola. Since (3,-2) is the lowest point of the parabola, and (4,3) is thus higher up, we know that the parabola opens up.
Substituting the given info into the equation y-k = a(x-h)^2, we get:
3-[-2] = a(4-3)^2, or 5 = a(1)^2. Thus, a = 5, and the equation of the parabola is
y+2 = 5(x-3)^2 The coefficient of the x^2 term is thus 5.
