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elena-s [515]
3 years ago
8

Write an equation for the translation of x^2+y^2=49 by 3 units left and 4 units up

Mathematics
2 answers:
amm18123 years ago
8 0

The answer is:

(x+3)^2+(y-4)^2=49

ludmilkaskok [199]3 years ago
5 0
\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{ k}})\qquad 
radius=&{{ r}}
\end{array}\\\\
-----------------------------\\\\
x^2+y^2=49\iff (x-0)^2+(y-0)^2=7^2\quad 
\begin{cases}
h=0\\
k=0
\end{cases}
\\\\\\
(x-\underline{(-3)})^2+(y-\underline{(+4)})^2=7^2\quad 
\begin{cases}
h=-3\\
k=4
\end{cases}
\\\\\\
\boxed{(x+3)^2+(y-4)^2=49}
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A used car dealer sells SUVs and cars. Of all the vehicles, 90% are cars. Of all the vehicles 40% are red cars. What is the prob
AleksAgata [21]

Answer:

44.4%

Step-by-step explanation:

To calculate this, we proceed as follows.

we use the probability equation below;

P(A|B) = P(A and B) / P(B)

Applying the above to the scenario at hand;

P(red | car) = P(red and car) / P(car)

P(red and car) = 40% or simply 40/100 = 0.4

P(car) = 90% = 90/100 = 0.9

P(red | car) = 0.4/0.9

P(red | car) = 0.4444 which is = 44.44% ; to the nearest tenth of a percent = 44.4%

4 0
3 years ago
On the first math test, Keiko answered 19 out of 25 questions correctly. On the second test she got 17 out of 20 correct. On whi
jenyasd209 [6]

Answer:

shegot a better score on the second test

50 is double of 25

75is 3 times 25

100 is 4 times 25

Step-by-step explanation:

19 times 4= 76

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7 0
3 years ago
Y is directly proportional to x^2. It is known that y=10 for a particular value of x. Find the value of y when the value of x is
Mandarinka [93]
<span>Y is directly proportional to x^2. It could be represented by the expression:

y </span>α x^2

We can make it into an equality by inserting the proportionality constant, k.

y = kx^2

k would be constant for any value of y with a corresponding value of x. We solve the problem by this concept as follows:

y1/(x1)^2 = y2/(x2)^2
10/(x1)^2 = y2/(x1/2)^2
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Therefore, when the value of x is halved, y is equal to 10/4.
3 0
4 years ago
What fractions are the common denominators for 1/2 and 7/8
Orlov [11]

Answer:

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Step-by-step explanation:

3 0
2 years ago
After the expression (X^10)^3/5 is simplified as much as possible, x is raised to what exponent? a0
erica [24]

Answer:

6

Step-by-step explanation:

(x^10)^3/5

=x^(10×3/5)

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7 0
3 years ago
Read 2 more answers
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