All categories

3 years ago

Find the equation of the line that is perpendicular to y=-1/5x-3 and contains the point (1,2).

Mathematics

1 answer:

Nat2105 [25]3 years ago

5 0

For perpendicular the way you find it is by flipping the fraction. and adding a negative. remember that whole number are fractions divided by 1.

so what you would get is

y=5x+a

then we put in the points into our x and y.

2=5(1)+a
now solve

2-5=a

a=-3

Now you will put into standard form

y=5x-3

You might be interested in

How to find what points intersect x axis on a circle?

Alchen [17]

To find points, we use the graphing technique or analytic algebra.

3 0

3 years ago

The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is

Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

$f(x)=-0.05x^2+2.5x+5.2$

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

$-\infty$

Factorize the given function.

$f(x)=-0.05(x^2-50x-104)$

$f(x)=-0.05(x^2-52x+2x-104)$

$f(x)=-0.05(x(x-52)+2(x-52))$

$f(x) = -0.05 (x - 52) (x + 2)$

Put f(x)=0 to find the x intercepts.

$0 = -0.05 (x - 52) (x + 2)$

Equate each factor equal to 0.

$x=52,-2$

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

$0\leq x\leq 52$

Therefore the reasonable domain is $0\leq x\leq 52$ and option 4 is correct.

6 0

2 years ago

Ethan opens a new savings account.

Musya8 [376]

Answer:

$2070

Step-by-step explanation:

$= 2000 \times (1 + \frac{3.5}{100})^{2}$

$= 2070$

6 0

2 years ago

A number cube is labeled 1-6 is rolled 200 times. Numbers 1-4 are rolled 137 times and numbers 5 and 6 are rolled the rest of th

Ainat [17]

No matter the number of times you rolled the dice, the probability of getting a number is always 1/6. But here we can choose 4 numbers ( 1 to 4) hence the probability P( 1 or 2 or 3 or 4) = 4/6 2/3 = 0.6667 = 66.67% (A)

5 0

3 years ago

The expression below represents the profit, in dollars, a movie theater makes when n customers attend a movie

aleksklad [387]

Answer:

Step-by-step explanation:

8 0

3 years ago