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sammy [17]
3 years ago
6

Find the quadratic function that has a vertex at (−2,−4) and goes through the point (−1,−5).

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0

Answer:

y=-x^2-4x-8 or  y=-(x+2)^2-4

Step-by-step explanation:

First use the vertex form(because you have vertex point)

y=a(x+2)^2-4

Then, plug in the point(-1,-5) to find the equation

-5=a(-1+2)^2-4

-5=a-4

a=-1

y=-(x+2)^2-4 = -x^2-4x-4-4 = -x^2-4x-8

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Someone please answer this for me (Algebra 2)
Tema [17]

Using division of fractions, the equivalent expression is:

B. \frac{4}{d - 6}.

<h3>How to divide fractions?</h3>

To divide two fractions, we multiply the first by the inverse of the second.

In this problem, we have that:

  • The first fraction is: \frac{2d - 6}{d^2 + 2d - 48} = \frac{2(d - 3)}{(d + 8)(d - 6)}.
  • The second fraction is: \frac{d - 3}{2d + 16} = \frac{d - 3}{2(d + 8)}.

Applying the multiplication, we have that:

\frac{2(d - 3)}{(d + 8)(d - 6)} \times \frac{2(d + 8)}{d - 3} = \frac{4}{d - 6}.

Hence option B is correct.

More can be learned about division of fractions at brainly.com/question/8433134

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6 0
2 years ago
Find the area of this rhombus
Vikentia [17]
<h2>Hello!</h2>

The answer is:

The area of the rhombus is equal to 64 squared inches.

area=64in^{2}

<h2>Why?</h2>

Since we already know half of the length of the diagonals of the rhombus, we can calculate the area of the rhombus using the following formula:

area=\frac{diagonal_{1}*diagonal_{2}}{2}

From the image we can see that:

diagonal_{1}=8in+8in=16in

diagonal_{2}=4in+4in=8in

So, substituting, we have:

area=\frac{16in*8in}{2}=\frac{128in^{2} }{2}=64in^{2}

Hence, we have that the area of the rhombus is equal to 64 square inches.

Have a nice day!

7 0
4 years ago
Read 2 more answers
A circle has its center at the center of a square with 26-inch sides. Using 3.14 for pi, find the area of the square not covered
AlladinOne [14]
For squrae
area=side²
perimiter=4(side)

for circle
area=pir²
circumference=2pir

side=diameter, diameter/2=radius=side/2


find area not covered
that is areasquare-areacircle
areasquare=26²=676 sqauare inches
areaciecle, diameter=side, 26/2=13, area=pi13²=169*3.14=530.66 square inches

areanotcovered=676-530.66=145.34 square inches not coverd


ratio of perimiter to circumferece
perimiter=4*26=104
circumference=2pir=2pi13=26pi=26*3.14=81.64
circumference to perimiter is 81.64/104=0.785

7 0
3 years ago
Read 2 more answers
Find (18 × 10^6) + (5 × 10^4).
Tatiana [17]

Answer:

1.805 × 10^7

Step-by-step explanation:

7 0
3 years ago
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Which expression, when evaluated, has a result that is a natural number?
motikmotik

Answer:

option (C) and option (D)

√4 + 2

√256 · 0.125

Step-by-step explanation:

Natural numbers are positive integers

1)

√5 · 4

4√5

as √5 is not a perfect square

2)

√9 - 5

3 - 5

-2

3)

√4 + 2

2 + 2

4

4)

√256 · 0.125

16 (0.125)

16(125) {3 decimal places to left}

2000.0

2.0

2

4 0
3 years ago
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