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3 years ago

Question please help me

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

9514 1404 393

Answer:

3x -y -30 = 0

Step-by-step explanation:

The reference line for the intercept can be written in standard form as ...

2x +5y = 20

Setting y=0 and solving for x, we find the x-intercept to be ...

2x = 20

x = 20/2 = 10

The line perpendicular to the first reference line can use the same x- and y-coordinates, but swapped, with one of them negated. If the line is right-shifted from the origin to the x-intercept point, its equation will be ...

3(x -10) -y = 0

In general form, this is ...

3x -y -30 = 0

_____

Additional comments

Perpendicular lines have slopes that are opposite reciprocals of each other. The slope of a line in general form is ...

m = -(coefficient of x)/(coefficient of y)

The opposite reciprocal of this can be had by swapping the coefficients and negating one of them.

In general form, we like to have the first coefficient positive, so we choose to negate the (new) y-coefficient in this problem.

The general form equation ax+by=0 would define a line through the origin. Using the usual methods for translating functions, we can make the line go through point (h, k) by writing the equation as a(x-h)+b(y-k) = 0. This is the method we used to make the line have the desired x-intercept.

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A video game has 25 levels. At level one, a player has 5 points. Each additional level increases the player's points by 10. If

ozzi

Answer:

B. (3,25)

Step-by-step explanation:

x = level of the video game

y = number of points

At level 1, a player has 5 points.

At level 2, the player has 5 + 10 = 15 points

Therefore, we can use the function notation this way:

f(x) = 5x + 10

The only ordered pair given that is from this function is:

B. (3,25)

f(3) = 5 * 3 + 10

f(3) = 15 + 10 = 25

The remaining three don't represent this function.

3 0

3 years ago

What's the sum of 5 feet 9 inches in 12 ft and 3 in

galben [10]

First convert everything into inches.

1 foot = 12 in
5 feet = 5*12 = 60 in
12 feet = 12*12 = 144 in

Now add them together

60 + 9 + 144 + 3 = 216 in

or

18 feet

Hope this helps :)

4 0

3 years ago

The given information were that Robi has run the first 4 miles of a race in 30 minutes and she reached the 6 mile point after 45

strojnjashka [21]

Answer:

Positive

Step-by-step explanation:

Slope: (6-4)/(45-30)

= 2/15

6 0

3 years ago

Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (2, 3)

lozanna [386]

Standard equation of a circle: (x-h)² + (y-k)² = r² where (h, k) is the center and r is the radius. In the case of our equation here, (x-5)² + (y+3)² = 25, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.

We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.

Distance = $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Distance = $\sqrt{(-3-3)^2+(5-2)^2}$

Distance = $\sqrt{(-6)^2+3^2}$

Distance = $\sqrt{36+9}$

Distance = $\sqrt{45}\approx6.7082$

$6.7082>5,\ so\ (2,3)\ is\ on\ the\ \boxed{exterior}$

8 0

3 years ago

Can someone help me with this question please

Ne4ueva [31]

Start with the given equation.

P1V1=P2V2

To solve for P2, move anything else on that side to the other side so that P2 is alone.

P1V1=P2V2
P2=P1V1/V2

8 0

3 years ago