2 years ago

Find the midpoint M of the line segment joining the points A = (3, 2) and B = (-1, -6).

Mathematics

1 answer:

ratelena [41]2 years ago

7 0

(-1,.5)
It simple all you have to do is go to Desmos and make your equation line

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Which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9? x + 2y = 21

max2010maxim [7]

Yes. x=3 and y =9 are the solutions.
Because if you change x=3 and y =9 ,you will have
3+2* 9 =21
3+18 =21
21 =21 (true)

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2 years ago

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Automobile mechanics conduct diagnostic tests on 150 new cars of a particular make and model to determine the extent to which th

Aleks04 [339]

Answer:

99% Confidence interval: (0.185,0.375)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 150

Number of cars that have faulty catalytic converters, x = 42

$\hat{p} = \dfrac{x}{n} = \dfrac{42}{150} = 0.28$

99% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58$

Putting the values, we get:

$0.28\pm 2.58(\sqrt{\frac{0.28(1-0.28)}{150}}) = 0.28\pm 0.095\\\\=(0.185,0.375)$

The 99% confidence interval for the true proportion of new cars with faulty catalytic converters is (0.185,0.375)

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2 years ago

ΔABC and ΔXYZ are similar triangles. If BC = x + 7, AC = x + 6, YZ = 4 − x, and XZ = 3 − x, find the value of x.

Montano1993 [528]

I believe the answer is B) -3/2 or -1.5.

Please give a heart and rating if this is right!

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2 years ago

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You are paying all eight of your monthly recurring bills free online now that you used to pay by "snail-mail". Stamps cost 47 ce

Ede4ka [16]

Answer:

$45.12

Step-by-step explanation:

($0.47 /stamp)×(8 stamps/mo)×(12 mo/yr) = $45.12 /yr

You will save $45.12 per year on stamps.

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2 years ago

Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter t

docker41 [41]

1m = 100cm

1cm → 0.5m

1cm → 0.5 · 100cm = 50cm

The scale: $\dfrac{50}{1}=50$

length = 26.8cm · 50 = 1,340cm = 13.40m

width = 12.2cm · 50 = 610cm = 6.10m

The area of the court:

A = 13.40 · 6.10 = 81.74 m²

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2 years ago