Answer:
<h2>
The desired equation is y = (4/3)x - 14/3.</h2>
Step-by-step explanation:
This new line passes thru (-4, 8) and (0, 5).
As we move from (-4, 8) to (0, 5), x increases by 4 and y decreases by 3.
Thus, the slope of this line is m = rise / run = -3/4.
Thus, the slope of a line perpendicular to the given line is the negative reciprocal of -3/4: 4/3.
Thus, the equation of a line perpendicular to the given line is
y = (4/3)x + b.
This line passes thru the point (5, 2). Thus, the following is true:
2 = (4/3)(5) + b, or 2 = 20/3 + b
Mult. this 2 by 3/3, we get 6/3, so that 6/3 = 20/3 + b. b = -14/3.
<h2>
The desired equation is y = (4/3)x - 14/3.</h2>
Answer:
x - intercept = -4
Step-by-step explanation:
We are told the function f(x) has a slope of 3/2 and a y-intercept of 6.
From general line equation, the formula is; y = mx + c
Where m is the slope and c is the intercept.
Thus, the equation is;
f(x) = (3/2)x + 6
Now,to find the x-intercept on the graph, it will be at a point where f(x) = 0.
Thus let's put 0 for f(x) to find the x-intercept.
0 = (3/2)x + 6
(3/2)x = -6
x = -6 × 2/3
x = -4
Answer:
11.3°
Step-by-step explanation:
Refer the attached figure .
Height of building i.e. AB = 160 feet.
A helicopter takes off from the ground 800 feet from the base of a building i.e. BC = 800 ft.
We are required to find what angle did the helicopter take off from i.e. ∠ACB
We will use trigonometric ratio .
Thus the angle at which the helicopter take off from is 11.3°
The zeros of the potynomial y = 3(x + 4)(x + 1)(x - 3)
<h3>Answer: a) -4, -1, 3</h3>
Answer:
So it will only take a year for Orlando's investments be worth more than
Bernadette's investments
Step-by-step explanation:
Interest of Bernadette in a year
=( 1000*170*1)/100
= 1700
So amount at a year is$ 2700
For Orlando amount the end of the year with compound interest daily.
A = P(1+r/n)^nt
A = 1000(1+(17/365))^(365*1)
A = 1000(1+0.0466)^365
A = 1000(1.0466)^365
A= $1.659*10^10
So it will only take a year for Orlando's investments be worth more than
Bernadette's investments
