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Luda [366]
3 years ago
10

Match each item with the correct statement below. (4 KU)

Mathematics
1 answer:
viva [34]3 years ago
8 0

Answer:

1. F

2. G

3. H

4. E

5. C

6. B

7. A

8. D

Step-by-step explanation:

1. For a horizontal line, this is zero. F. Slope

2. These lines have the same slope.  G Parallel Lines

3. These lines meet at 90°. H Perpendicular Lines

4. This is where two lines meet.  E. Point of Intersection

5. For the line 3 2 6 x y   , this is −3. C. Y-intercept

6. The numbers 10 and 1 /10 are examples.  B Reciprocals

7. This is the name for an equation of a line  in the form Ax By C    0. A. Standard Form

8. For a vertical line, the value of x is constant  and equal to this D. x-intercept

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Using a directrix of y = −2 and a focus of (1, 6), what quadratic function is created? Question 3 options:
deff fn [24]

If your directrix is a "y=" line, that means that the parabola opens either upwards or downwards (as opposed to the left or the right). Because it is in the character of a parabola to "hug" the focus, our parabola opens upwards. The vertex of a parabola sits exactly halfway between the directrix and the focus. Since our directrix is at y = -2 and the focus is at (1, 6) AND the parabola opens upward, the vertex is going to sit on the main transversal, which is also the "line" the focus sits on. The focus is on the line x = 1, so the vertex will also have that x coordinate. Halfway between the y points of the directrix and the focus, -2 and 6, respectively, is the y value of 2. So the vertex sits at (1, 2). The formula for this type of parabola is (x-h)^2=4p(y-k) where h and k are the coordinates of the vertex and p is the DISTANCE that the focus is from the vertex. Our focus is 4 units from the vertex, so p = 4. Filling in our h, k, and p: (x-1)^2=4(4)(y-2). Simplifying a bit gives us (x-1)^2=16(y-2). We can begin to isolate the y by dividing both sides by 16 to get \frac{1}{16}(x-1)^2=y-2. Then we can add 2 to both sides to get the final equation f(x)=\frac{1}{16}(x-1)^2+2, choice 4 from above.

7 0
3 years ago
PLEASE HELP I GIVE 29 POINTS TO WHOEVER GETS THIS RIGHT
-Dominant- [34]

Direction: Isolate the variable by dividing each side by factors that don't contain the variable.

Here are the answers for all 15 questions:

1)  x < - 2

2) x < 4

3) x > - 15/7

4) y < 28/5

5) x > 6

6) y > - 10/9

7) 0 < 333

8) x > 2

9) x > - 10

10) y > - 3

11) y > - 4

12) x > 3

13) x < 9/8

14) x > - 2

15) h < 7/2

4 0
2 years ago
Read 2 more answers
Write the equation in vertex form for the parabola with focus (7, –27/4) and directrix y= – 13/4
Nataliya [291]

Answer:

x2 +8x +4y +4 = 0

4y= -x2 -8x -4y = -.25*x^2 -2x -1

a = -.25b = -2c = -1

x position of vertex:

h = -b / 2a

h = 2 / 2*-.25h = 2 / -.5h = -4

y position of vertex:

k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3

VERTEX = (-4, 3)*

x value of focus =x value of vertex = -4

y value of focus =(1 (-b^2 -4ac)) / 4a

a = -.25 b = -2 c =-1

y value = (1 (-4 -4*-.25*-1)) / 4*-.25

y value = (1 (-4 -4*-.25*-1)) / -1

y value = (1 -4 +1) / -1y value = (-2 / -1)y value = 2

focus value = (-4, 2)

Answer is the last one.

7 0
2 years ago
Evaluate the expression<br> 7^0
Marysya12 [62]

Answer:

1

Step-by-step explanation:

Any number put to the 0 power is equal to 1.

Does that help?

3 0
3 years ago
What explicit formula matches the arithmetic sequence -2, 1, 4, 7, 10, ...?
Ray Of Light [21]
a_1=-2\\&#10;d=3\\&#10;a_n=a_1+(n-1)d=-2+(n-1)\cdot3=-2+3n-3=3n-5
5 0
3 years ago
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