(4, ?) is on 8x - 3y = -10
The ? is the missing y coordinate. (4, y) satisfies 8x - 3y = -10
8x - 3y = -10. From point (4, y), we would replace x = 4 in the equation below. y remains the unknown.
8*4 - 3y = -10
32 - 3y = -10
-3y = -10 - 32
-3y = - 42
y = -42/-3
y = 14
So the coordinate is (4, 14)
Answer:
1). The constant of variation is 7
2). w = 6 for the given values of x and y
Step-by-step explanation:
"Varies jointly" tells us that y is a direct result of a mathematic operation involving x and w. We will assume y is directly prorportional to x and w, in the sense that we can find a multiplicative relationship of the form y=Kxw, where K is the constant of variation.
We are given one data point: y=-42 where x is 2 and w is -3. Let's put those values into our trrial expression:
y=Kxw
-42=K(2)(-3)
-42 = -6K
K = 7
<h2>The expression becames <u>
y = 7xw</u></h2>
The constant of variation is 7.
The value of w for y=3 and x=(1/14) would be:
y=7xw
3 = 7*(1/14)*w
3 = (1/2)*w
<h2><u>
w = 6</u></h2>
68% will be 1 standrd deviation either side of the mean so a reasonable estimate will be (25*0.68) / 2 = 8.5
Answer:
The trigonometric ratio that I would use to find the distance from the base of the tower to the keys is the tangent; tan (86°) = height / distance.
Step-by-step explanation:
You can draw a right triangle with angle 86°, opposite leg equal to the height (50 meter) and adjacent leg equal to the distance from the base of the tower to the keys: tan (86°) = 50 m / x
=> x = 50 m / tan(86°)
x = 50 m / 14.30 = 0.98 m
Yes, it is reasonable. If a painter paints a fourth of a room in a fourth of a day, well that means in two-fourths of a day he would paint two-fourths of a room. Same for three fourths and four fourths, which is equal to one day. If he or she can paint one room in one day, it'd be reasonable to say that he can paint 7 rooms in 7 days.
