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ddd [48]
2 years ago
11

Determine if S could lie on the perpendicular bisector of QR with the given coordinates

Mathematics
1 answer:
Alex2 years ago
5 0

Step-by-step explanation:

The distance between two points, and is given by:

The endpoints are: Q(-5, -1), R(3, 7)

Point S is (4,-2).

The distance of S to Q is:

The distance of S to R is:

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Which form of a quadratic function is easiest to use when finding the maximum or minimum value of the function?
alexandr402 [8]

Answer:

ax² + bx + c

Step-by-step explanation:

The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.

Suppose a quadratic function:

f(x) = 2x² - 8x + 9

Use ( -b/2a ,  f(-b/2a) ).

-b/2a

a = 2

b = -8

-(-8)/2(2)

8/4

= 2

f(2) = 2(2)² - 8(2) + 9

f(2) = 2(4) - 8(2) + 9

f(2) = 8 - 16 + 9

f(2) = 1

The minimum value of this quadratic function is (2, 1).

It represents a minimum value because a > 0.

4 0
3 years ago
Read 2 more answers
URGENT!!!! Find the m<2.
Leto [7]

Answer:

Hello! :) I hope I’m correct!!

Step-by-step explanation:

<em>I think the answer should be the second one.</em>

<u><em>the angle with the square at the corner is obviously a right angle, 90°. opposite angles have the same angle so opposite to it, angle 3 is also 90°. then add the angle 3 and the given angle (23°). 90°+23°=113° then subtract it to 180° (since a straight line is 180°). 180°-113°=67°</em></u>

<em />

<em>The steps:</em>

<em>To solve m< 2,</em>

<em />m< 2 = 180 - (90 + 23)<em />

<em />m< 2 = 180 - 113<em />

<em />m< 2 = 67<em />

<em />

<h3><em>Therefore, I think the answer should be 67 (second choice)</em></h3>

<em>i’m not really sure if this is the answer, but I hope this was helpful!! :)</em>

<em>if you have any questions about these steps, feel free to ask!</em>

<em>by: BrainlyAnime! ^-^</em>

<em>~Thank you!! Have a great day! ~</em>

5 0
3 years ago
Find two different planes whose intersection is theline:x = 6 + 3ty = -8 - 3tz = -1 - tWrite equations for each plane in the for
alina1380 [7]

Answer:

x+y=-2 and 3z-y=5 are two such planes.

Step-by-step explanation:

To find the two planes whose intersection is the line

x=6+3t\\ y=-8-3t\\ z=-1-t

You can say that <em>t</em> is equal to this expression

t=\frac{x-6}{3} =\frac{y+8}{-3}=-z-1

Next,

\frac{x-6}{3} =\frac{y+8}{-3}\\ \frac{y+8}{-3}=-z-1

Then,

x+y=-2 and 3z-y=5 are two such planes.

You can see in the image attached that the intersection of this planes is the line

x=6+3t\\ y=-8-3t\\ z=-1-t

7 0
3 years ago
M is the midpoint of CD. Given the coordinates of one endpoint C(10,-5) and the midpoint M(4, 0), find the coordinates of the ot
mash [69]

Answer:

D(-2, 5).

Step-by-step explanation:

We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).

And we want to determine the coordinates of D.

Recall that the midpoint is given by:

\displaystyle M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)

Let C(10, -5) be (<em>x</em>₁<em>, y</em>₁) and Point D be (<em>x</em>₂<em>, y</em>₂). The midpoint M is (4, 0). Hence:

\displaystyle (4, 0) = \left(\frac{10+x_2}{2} , \frac{-5+y_2}{2}\right)

This yields two equations:

\displaystyle \frac{x_2 + 10}{2} = 4\text{ and } \frac{y_2 - 5}{2} = 0

Solve for each:

\displaystyle \begin{aligned}x_2 + 10 &= 8 \\ x_2 &= -2 \end{aligned}

And:

\displaystyle \begin{aligned} y_2 -5 &= 0 \\ y_2 &= 5\end{aligned}

In conclusion, Point<em> </em>D = (-2, 5).

5 0
3 years ago
Suppose a company claims that its jars of pickles weigh 68 ounces on average. It took many large samples, and about half the tim
Annette [7]

Step-by-step explanation:

The company's jars of pickles weigh fewer than 68 ounces on average. C. The company's jars of pickles weigh more than 68 ounces on average. D. The company's jars of pickles do not weigh 68 ounces on average.

This is the Answer

4 0
3 years ago
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