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Alchen [17]
3 years ago
11

Graph y ≥ (x + 2)2 Click on the graph until the correct graph appears.

Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0

We plug in the values of x and y as shown below:

the given equation is y\geq (x+2)^2

As we can see the equation is of the form of a parabola . The equation of parabola is given as y\geq (x-h)^2 + k

in the equation h = -2 and k =0

On plotting the above parabola on graph is as shown on the sheet

The vertex is (h,k) = (-2,0)

The y intercept is (0+2)^2 = 4. So, y intercept is (0,4)

The x intercept in this case is the same as vertex = (-2,0)

Now, we graph the parabola as shown in the attachment



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For triangle ABC, angle A=110, angle B=43, and side b=15. Find side c.
vredina [299]

Answer: 10

<u>Step-by-step explanation:</u>

First, find m∠C by using the Triangle Sum Theorem:

∠A + ∠B + ∠C = 180°

110 + 43 + ∠C = 180°

     153   + ∠C = 180°

                ∠C = 27°

Next, Use the Law of Sines to solve for c:

\dfrac{b}{sin\ B}= \dfrac{c}{sin\ C}

\dfrac{15}{sin\ 43}= \dfrac{c}{sin\ 27}

\dfrac{15\ sin\ 27}{sin\ 43}= c

10 = c


8 0
3 years ago
Find the Mean, Median, Mode and Range of each series. Mean: 126 ÷ 9 = 14 1) 6 , 12 , 8 , 4 , 16 , 16 , 6 , 16 , 9 93 ÷ 9 2) 13 ,
Nadya [2.5K]

Answer:

129-14 is 115 than minus 6 than add 12

Step-by-step explanation:

7 0
3 years ago
12.Divide. (x^2+2x+1/x^2-8x+16)/(x+1/x^2-16
lina2011 [118]
For this case we have the following expression:
 (x ^ 2 + 2x + 1 / x ^ 2-8x + 16) / (x + 1 / x ^ 2-16)
 Rewriting we have:
 (((x + 1) (x + 1)) / ((x-4) (x-4))) / (x + 1 / ((x + 4) (x-4)))
 Then, we cancel similar terms:
 ((x + 1) / (x-4)) / (1 / (x + 4))
 Rewriting:
 ((x + 1) (x + 4)) / (x-4)
 Answer:
 
((x + 1) (x + 4)) / (x-4)
3 0
3 years ago
A rectangular fish tank has a base that is 8 inches by 7 inches. How much water will it take to fill the tank to a depth of 5 in
Blizzard [7]
V=LWH
L=8
W=7
H=5

V=8*7*5=280 in^3

you need 280 in^3 of water
5 0
3 years ago
The point A has co-ordinates (-4,6) and the point B has co-ordinates (7,-2).
Serhud [2]

Answer:

√185 or 13.60 units to the nearest hundredth.

Step-by-step explanation:

For the points (x1,y1) and (x2,y2) the length between the points is given by:

L = √ [ (x2-x1)^2 + (y2-y1)^]

So here we have:

Length of AB  √ [ (7- - 4)^2 + (-2 - 6)^2]

=  √ (121 + 64)

= √185.

3 0
3 years ago
Read 2 more answers
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