How do I do this? I don't understand how to do this.

What is the zero of the function h(x)=3/4x-9

vlada-n [284]

Answer:

Step-by-step explanation:

6 0

4 years ago

What is an equation of the line that is perpendicular to y= −3/4x +6 and passes through the point (3, 9) ?

olga2289 [7]

Perpendicular lines have opposite reciprocals from the original line.

Original line: y=-3/4x+6

Perpendicular line: y=4/3x+b

Solve for b by plugging in the given coordinates (3,9) for x and y respectively.

9=4/3(3)+b

Multiply 4/3*3.

9=4+b

Subtract 4 from both sides.

5=b

Now, with b and the slope, you can write the equation:

y=4/3x+5

I hope this helps :)

8 0

4 years ago

Choose all situations that correctly state the ratio. A neighborhood has 27 cats and 12 dogs. The ratio of cats to dogs in the n

Anastaziya [24]

Answer: The answers are given below.

Step-by-step explanation: All the given situations are -

* * * A neighbourhood has 27 cats and 12 dogs. So, the ratio of cats to dogs is

= 27 : 12 = 9 : 4. That is, for every 9 cats, there are 4 dogs.

Thus, the situation correctly states the ratio.

* * * In a class of 30 students, there are 16 boys and 14 girls. So, the ratio of girls to boys is = 14 : 16 = 7 : 8, because there are 7 girls for every 8 boys.

Thus, the situation does not state the ratio correctly.

* * * The won-lost ratio for a baseball team is 36 : 18 = 2 : 1. That is, the team won 2 games for each game lost.

Thus, the ratio does not state the situation correctly.

* * * The number of horses in a kingdom is 100, and the number of knights is 50. The ratio of knights to horses is = 50 : 100 = 1 :2. That is, There is one knight for every two horses.

Thus, the ratio states the situation correctly.

* * * Fifty-two out of the 88 keys on a piano are white, so ratio of white to black piano is = 52 : (88-52) = 52 : 36 = 13 : 9. That is, for every 13 white keys, there are 9 black keys.

Thus, the ratio does not state the situation correctly.

Hence, all are done.

3 0

4 years ago

Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2.

krok68 [10]

Answer:

$y^2=\frac{1}{8}x$

Step-by-step explanation:

The focus lies on the x axis and the directrix is a vertical line through x = 2. The parabola, by nature, wraps around the focus, or "forms" its shape about the focus. That means that this is a "sideways" parabola, a "y^2" type instead of an "x^2" type. The standard form for this type is

$(x-h)=4p(y-k)^2$

where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (that distance is the same; we only need to find one). That means that the vertex has to be equidistant from the focus and the directrix. If the focus is at x = -2 y = 0 and the directrix is at x = 2, midway between them is the origin (0, 0). So h = 0 and k = 0. p is the number of units from the vertex to the focus (or directrix). That means that p=2. We fill in our equation now with the info we have:

$(x-0)=4(2)(y-0)^2$

Simplify that a bit:

$x=8y^2$

Solving for y^2:

$y^2=\frac{1}{8}x$

3 0

3 years ago

Find what theses are ,SSS ect

svp [43]

Answer:

Step-by-step explanation:

look at each picture to see what they are stating is the same in each of the triangles... the marks thur the lines means they are the same length, or the double or triple arcs in the angles means those are the same. so if there are two sides that are the same... you can say SSS , if there are two angles that are the same you can say ASA . the one where there is one side and one angle the same you can say SAS .... hmmm kinda get it?

6 0

3 years ago