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babymother [125]
3 years ago
5

1. -12 x -9 = *

Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0
1) 108
2) -192
3) 128
4) 135
5) -200
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Y = x² – 4 y = 2r + 4​<br><br>Solve algebraicallu for the solutions of equations below.
oksano4ka [1.4K]

Step-by-step explanation:

Okay, the first step is to rewrite this equation in "vertex form." You can search that up but it's basically just (h/k).

y = ( x − 1) 2 + 3

Now, we are going to use the vertex form, "y = a (x - h)2 + k, to get the values of a, h, and k.

By using the form we get 1 for the value a, 1 for the value h, and 3 for the value k.

1 = a

1 = h

3 = k

Becuse the value of a is positive, the parabola opens up!  (A parabola is the U shaped line in a graph, so that opens up.)

Now, we find the vertex (h,k)

which is (1,3)

Now we find the p from the vertex to the focus.  (vertext the top, focus one of the points.)

Follow this formula to find the distance from the vertex to a focus by using this formula

1/4a.

Now we just gonna substitue 1 for a, since we know that 1 equals a above ^

1/4 * 1

Solving that, we got a nice little 1/4.

Next we find the focus

"Find the focus.

The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

(h,k+p)

Substitute the known values of h, p, and k into the formula and simplify.

(1,134)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x=1

Find the directrix.

y=114

Use the properties of the parabola to analyze and graph the parabola.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.

xy−1704132437

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

xy−17041324"

(Sorry if this is long! But I hope you understand it better now! Thanks for the points!)

3 0
3 years ago
13. Find the range of the function on the graph<br> below.
aliina [53]

Range is ] -20 , -10 [

both points are disclude according to the empty circle

4 0
2 years ago
Answers please ? I need help on all of them.
Allushta [10]
Well to answer question 43, you would have to multiply the radius but 2 so 8*2= 16 and 16* 3.14= 50.24
ANSWER: 50.24
5 0
3 years ago
In exercises 1 and 2, Find the value of x.
Kruka [31]

From the given picture, we can see that 2 sides are congruen, then the given triangle is an isosceles triangle. In this triangle the base angles are congruent, so we can draw the following picture:

Now, since interior angles of any triangle add up to 180 degrees, we have

x+\frac{x}{2}+\frac{x}{2}=180

By combining similar terms, we get

\begin{gathered} \frac{4}{2}x=180 \\ 2x=180 \end{gathered}

Then, x is given as

\begin{gathered} x=\frac{180}{2} \\ x=90 \end{gathered}

Therefore, the answer is x=90 degrees

4 0
1 year ago
A company that produces cranberries knows that about 7%7\%7%7, percent of its cranberries are bruised in the bagging process. Th
lozanna [386]

Answer:

B. Yes, because 0.004<0.010.004<0.010, point, 004, is less than, 0, point, 01.

Step-by-step explanation:

Khan Academy

3 0
3 years ago
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