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3 years ago

6. What is the midpoint of the line segment whose endpoints (7,-4) and (-3, -2)? are

Mathematics

1 answer:

quester [9]3 years ago

6 0

Answer: (2, -3)

Step-by-step explanation:

To find the the answer, you will need to use the midpoint formula, which is as following:

(x₁+x₂/2, y₁+y₂/2)

Since we have two coordinates, let's substitute them into the equation.

(7 + (-3 )/ 2, (-4) + (-2)/2)

We should first add 7 and -3 together, as well as -4 and -2.

(4/2, -6/2)

We then divide 4 and -6 by 2. This would give us our midpoint coordinate.

(2, -3)

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Mario is walking away from a motion detector at a rate of 1.5 feet per second. He started recording his distance from the motion

kipiarov [429]

Answer:

6 seconds

Step-by-step explanation:

Initial distance of Mario from motion detector = 2 ft

Speed of Mario = 1.5 ft/sec

Total distance of Mario from motion detector = 11 ft

Total distance moved by Mario while walking at the rate of 1.5 ft/sec = 11 - 2 = 9 ft

Given that:

Distance = 9 ft

Speed = 1.5 ft/sec

<em>Formula:</em>

$Distance = Speed \times Time$

$\Rightarrow 9 =1.5 \times Time\\\Rightarrow Time = \dfrac{9}{1.5}\\\Rightarrow Time = \bold{6\ sec}$

So, at <em>6 seconds</em>, Mario will be 11 ft from the motion detector.

6 0

3 years ago

A football coach is trying to decide: When a team is ahead late in the game,

brilliants [131]

Answer:

I play football and my coach will do this: Play a "prevent* defense that guards against long gains but makes short

gains easier.

Step-by-step explanation:

8 0

2 years ago

A bag had 7 orange rocks , 6 green rock , 1 white rock ,7 black rocks , and 2 yellow you randomly pull a rock from the bag ,keep

daser333 [38]

Answer:

$Probability = \frac{7}{253}$

Step-by-step explanation:

Given

$Orange = 7$

$Green = 6$

$White = 1$

$Black = 7$

$Yellow = 2$

Required

Probability of selecting a yellow then orange rock

From the question, we understand that the probability is that of without replacement.

Since the yellow, is first picked.

We need to determine the probability of picking a yellow rock, first.

$P(Yellow) = \frac{n(Yellow)}{Total}$

$P(Yellow) = \frac{2}{7 + 6 + 1 + 7 + 2}$

$P(Yellow) = \frac{2}{23}$

The rock has reduced by 1;

Next is to determine the probability of picking an orange rock

$P(Orange) = \frac{n(Orange)}{Total - 1}$

$P(Orange) = \frac{7}{7 + 6 + 1 + 7 + 2- 1}$

$P(Orange) = \frac{7}{22}$

The required probability is calculated as thus:

$Probability = P(Yellow) * P(Orange)$

$Probability = \frac{2}{23} * \frac{7}{22}$

$Probability = \frac{14}{506}$

$Probability = \frac{7}{253}$

4 0

3 years ago

Can someone help me with this problem please? Thank you!

Olenka [21]

Answer:

Step-by-step explanation:

since the Pythagorean theorem is

$c=$ √ $a^2+b^2$

b is the bottom line (48)

a is the right line (14)

c is the top line (c)

plug that in

$c =$ √ $14^2 + 48^2$

then do the exponets

$14^2$ = 14 * 14 = 196

$48^2$ = 48 * 48 = 2304

then add them together

196 + 2304 = 2500

$c =$ √2500

the sqrt of 2500 is 50 (50 * 50 = 2500)

c = 50

your answer is 50

hope this helps:)

6 0

2 years ago

Read 2 more answers

Solve this question

love history [14]

Answer:

$\frac{4x - 11}{2} \leqslant 3x - 3 < 4 \\ \\ = > \frac{4x - 11}{2} \leqslant 3x - 3 \: and \: 3x - 3 < 4 \\ \\ < = > 4x - 11 \leqslant 6x - 6 \: \: and \: \: 3x < 7 \\ \\ < = > 2x \geqslant - 5 \: \: and \: \: x < \frac{7}{3} \\ \\ < = > \frac{ - 5}{2} \leqslant x < \frac{7}{3}$

=> the greatest integer is 2

the smallest integer is -2

3 0

3 years ago