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Sedaia [141]
3 years ago
12

Ng an algebraic procedure, as shown below.

Mathematics
1 answer:
Anastaziya [24]3 years ago
5 0

Answer:

can you make it more clear

Step-by-step explanation:

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HELP ME PLS I NEED THIS NOW
Lyrx [107]

r = radius

Arc length = 2(3.14)r

7.9 cm = r

Plug our values in

Arc length = 2(3.14)(7.9 cm)

Arc length = 49.6 cm

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3 years ago
Which are the coordinates of the x-intercept in the equation −4x+5y=20 ?
elena-14-01-66 [18.8K]

Answer: (-5,0)

Step-by-step explanation:

-4x + 5y = 20   the x intercept is when y is zero so input zero into the equation and solve for x.

-4x + 5(0) = 20

-4x = 20

x = -5  

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3 years ago
Which point represents the unit rate?
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Pretty sure the answer is C since the point is at 1 on the c-axis
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3 years ago
Read 2 more answers
Find the center that eliminates the linear terms in the translation of 4x^2 - y^2 + 24x + 4y + 28 = 0.(-3, 2)(-3,- 2)(4, 0)
baherus [9]

Step 1

Given;

4x^2-y^2+24x+4y+28=0

Required; To find the center that eliminates the linear terms

Step 2

\begin{gathered} 4x^2-y^2+24x+4y=-28 \\ 4x^2+24x-y^2+4y=-28 \\ Complete\text{ the square }; \\ 4x^2+24x \\ \text{use the form ax}^2+bx\text{ +c} \\ \text{where} \\ a=4 \\ b=24 \\ c=0 \end{gathered}\begin{gathered} consider\text{ the vertex }form\text{ of a }parabola \\ a(x+d)^2+e \\ d=\frac{b}{2a} \\ d=\frac{24}{2\times4} \\ d=\frac{24}{8} \\ d=3 \end{gathered}\begin{gathered} Find\text{ the value of e using }e=c-\frac{b^2}{4a} \\ e=0-\frac{24^2}{4\times4} \\ e=0-\frac{576}{16}=-36 \end{gathered}

Step 3

Substitute a,d,e into the vertex form

\begin{gathered} a(x+d)^2+e \\ 4(x+_{}3)^2-36 \end{gathered}\begin{gathered} 4(x+3)^2-36-y^2+4y=-28 \\ 4(x+3)^2-y^2+4y=\text{ -28+36} \\  \\  \end{gathered}

Step 4

Completing the square for -y²+4y

\begin{gathered} \text{use the form ax}^2+bx\text{ +c} \\ \text{where} \\ a=-1 \\ b=4 \\ c=0 \end{gathered}\begin{gathered} consider\text{ the vertex }form\text{ of a }parabola \\ a(x+d)^2+e \\ d=\frac{b}{2a} \\ d=\text{ }\frac{4}{2\times-1} \\ d=\frac{4}{-2} \\ d=-2 \end{gathered}\begin{gathered} Find\text{ the value of e using }e=c-\frac{b^2}{4a} \\ e=0-\frac{4^2}{4\times(-1)} \\  \\ e=0-\frac{16}{-4} \\ e=4 \end{gathered}

Step 5

Substitute a,d,e into the vertex form

\begin{gathered} a(y+d)^2+e \\ =-1(y+(-2))^2+4 \\ =-(y-2)^2+4 \end{gathered}

Step 6

\begin{gathered} 4(x+3)^2-y^2+4y=\text{ -28+36} \\ 4(x+3)^2-(y-2)^2+4=-28+36 \\ 4(x+3)^2-(y-2)^2=-28+36-4 \\ 4(x+3)^2-(y-2)^2=4 \\ \frac{4(x+3)^2}{4}-\frac{(y-2)^2}{4}=\frac{4}{4} \\ (x+3)^2-\frac{(y-2)^2}{2^2}=1 \end{gathered}

Step 7

\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1 \\ \text{This is the }form\text{ of a hyperbola.} \\ \text{From here } \\ a=1 \\ b=2 \\ k=2 \\ h=-3 \end{gathered}

Hence the answer is (-3,2)

4 0
1 year ago
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