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slava [35]
3 years ago
8

What's the distance between (-9,2) and (5,-4)?

Mathematics
2 answers:
Reil [10]3 years ago
7 0

Answer: Exact Form: d= 2√58

Decimal Form: 15.23154621...

Step-by-step explanation:

Distance formula: d=√(x2-x1)^2 + (y2-y1)^2

d=√(5- -9)^2 + (-4 - 2)^2

Exact Form: d= 2√58

Decimal Form: 15.23154621...

Andreyy893 years ago
6 0

Answer:

2√58

Step-by-step explanation:

I believe the answer is 2√58.

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What would be the critical value for a two-tailed, one-sample t test with 26 degrees of freedom (df = 26) and an alpha level (p
Alika [10]

Answer: The critical value for a two-tailed t-test = 2.056

The critical value for a one-tailed t-test = 1.706

Step-by-step explanation:

Given : Degree of freedom : df= 26

Significance level : \alpha=0.05

Using student's t distribution table , the critical value for a two-tailed t-test will be :-

t_{\alpha/2, df}=t_{0.025,26}=2.056

The critical value for a two-tailed t-test = 2.056

Again, Using student's t distribution table , the critical value for a one-tailed t-test will be :-

t_{\alpha, df}=t_{0.05,26}=1.706

The critical value for a one-tailed t-test = 1.706

6 0
3 years ago
Triangles A C B and M Q R are shown. Sides A B and M R are congruent. Angles C A B and M R Q are 42 degrees. Angle C B A is 53 d
miss Akunina [59]

By ASA postulate it can be say that the triangle ABC and triangle MRQ are congruent

<h3>What is Angle Sum Property?</h3>

The sum of all three angles(interior) of a triangle is 180 degrees, and the exterior angle of a triangle measures the same as the sum of its two opposite interior angles.

Using Angle Sum Property, in ΔMRQ

<M + <R + <Q= 180

<M + 42 + 85 = 180

<M = 180 -42

<M= 53°

Now, In ΔMRQ and ΔABC  

<A= <R ,

<B = <M

AB = MR

Hence, By ASA criteria ΔMRQ ≅ ΔABC  

Learn more about this concept here:

brainly.com/question/3486366

#SPJ1

4 0
1 year ago
Factor completely 3x - 12. (1 point)
yarga [219]

Answer:

3(x - 4)

Step-by-step explanation:

Given

3x - 12 ← factor out 3 from each term

= 3(x - 4)

3 0
3 years ago
It takes 45 minutes to drive to the nearest bowling alley taking city streets going 30 miles per hour
zmey [24]

Answer:

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes

Step-by-step explanation:

The given parameters are;

The time it takes through the streets to drive to the nearest bowling alley = 45 minutes

The speed of driving through the streets = 30 miles per hour (mph)

The speed of driving through the freeway to the bowling alley = 65 mph

From the speed of driving through the streets and the time taken we have;

The formula for speed, S, is S = Distance/Time

Therefore, 30 mph = Distance/45 minutes

Where, 1 hour = 60 minutes, 45 minutes = 1/60×45 hour = 3/4 hour

30 mph = Distance/45 minutes = Distance/(3/4 hour)

30 mph = Distance/(3/4 hour)

Distance = 30 mph × 3/4 hour = 22.5 miles

Given that the distance through the freeway and through the streets are the same, we have from speed = Distance/Time;

Time = Distance/Speed

The speed through the freeway = 65 mph while the distance remain 22.5 miles

Therefore;

Time = 22.5 miles/(65 mph) ≈ 0.346 hour ≈ 20.8 minutes

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes.

8 0
3 years ago
A long-distance athlete can run 1212 kilometer in 3 minutes. How many kilometers can he run in an hour?
Fudgin [204]
He can run 24240 kilometers
4 0
3 years ago
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