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Effectus [21]
2 years ago
13

Latanya was asked to determine if (375,4) lies on the circle with radius 7 centered at (0.-2). what is her error?

Mathematics
1 answer:
Vilka [71]2 years ago
6 0

The point (3/5,4) would lie on the circle if it makes the equation of the circle to be true

Latansha's equation of the circle is wrong

<h3>How to determine her error?</h3>

The given parameters are:

Center = (a,b) = (0,-2)

Radius, r = 7

The equation of a circle is:

(x - a)^2 + (y - b)^2 = 0

This gives

(x - 0)^2 + (y + 2)^2 = 0

Rewrite as:

x^2 + (y + 2)^2 = 0

In Latanya's first step, we have:

x^2 + (y - 2)^2 = 0

By comparing her first step with x^2 + (y + 2)^2 = 0, we can see that her equation is wrong

Hence, Latansha's error is that she determine the equation of the circle, wrongly.

Read more about circle equations at:

brainly.com/question/1559324

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Lim t^4 - 6 / 2t^2 - 3t + 7
Harman [31]

I think you meant to say

\displaystyle \lim_{t\to2}\frac{t^4-6}{2t^2-3t+7}

(as opposed to <em>x</em> approaching 2)

Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)}

Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:

\displaystyle \lim_{t\to2} \frac{t^4 - 6}{2t^2 - 3t + 7} = \frac{\displaystyle \lim_{t\to2}(t^4-6)}{\displaystyle \lim_{t\to2}(2t^2-3t+7)} = \frac{2^4-6}{2\cdot2^2-3\cdot2+7} = \boxed{\frac{10}9}

6 0
3 years ago
A number line is divided into fifths. How many equal segments are there between the point at zero and the point 4/5?
ella [17]

Answer:

3?

Step-by-step explanation:

A little confused by the question but is it just

1/5 2/5 3/5 4/5

1     2     3     4

so theres 3 in between

7 0
3 years ago
Maria is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
Paha777 [63]
22 because you take the smallest and largest number and subtract them so you do 81-59=22
4 0
2 years ago
Please help me? _XYZ is translated 4 units up and 3 units left to yield _X_Y_Z_. What is the distance between any two correspond
natka813 [3]
<span>Every point went up 4 units and left 3 units.
</span><span>Point X on the triangle moved up 4 and left 3. That formed a right triangle with legs 4 and 3. The distance point X moved to point X', d, is the hypotenuse of the right triangle.
</span><span>Using the Pythagoras Theorem
</span><span><span>3^2</span>+<span>4^2</span>=<span>d^2
d = 5

</span></span>
7 0
3 years ago
Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The
maksim [4K]

Answer:

Option C.

Step-by-step explanation:

Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.

Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.

Using triangle proportionality theorem we get

\dfrac{SA}{SB}=\dfrac{CT}{BT}

\dfrac{SA}{10}=\dfrac{2.7}{9}

On cross multiplication we get

9\times SA=2.7\times 10

9SA=27

Divide both sides by 9.

SA=3

The length of SA is 3ft.

Therefore, the correct option is C.

8 0
3 years ago
Read 2 more answers
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