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vova2212 [387]
3 years ago
13

Find the distance between the pair of points. E(9,-4) F(-3,5)

Mathematics
1 answer:
White raven [17]3 years ago
5 0

Answer:

5

Step-by-step explanation:

√

(

−

3

−

9

)

2

+

(

5

−

−

4

)

2

 

=  

√

(

−

12

)

2

+

9

2

=  

√

144

+

81

=  

√

225

= 15

Distance between points (9, -4) and (-3, 5) is 15

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What is the range for this data set?<br> 22, 7, 14, 13, 38, 12, 19, <br> 17, 49, 13, 9, 18, 36​
Degger [83]

Answer:

from 7 to 49 or (7, 49)

Step-by-step explanation:

Range means the limit of the data set. Basically, the low part of the range is the lowest number in the set and the high part of range is the highest part.

5 0
3 years ago
What is 572 rounded to the nearest 10 and 100
Liula [17]
572 rounded to the nearest 10 is 570 and 572 rounded to nearest 100 is 600.
5 0
3 years ago
Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels
GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}

Cross multiply

350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200

Divide both sides by 210

\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph

4 0
3 years ago
Solve the system of equations by using the addition method
Paha777 [63]
How do you solve this system of equations using the addition method:
4
x
−
y
=
−
4
;
5
x
+
2
y
=
−
18
?
Algebra
1 Answer


IDKwhatName
Jun 30, 2017
x
=
−
2
,
y
=
−
4
Explanation:
Right now, you have:
4
x
−
y
=
−
4

5
x
+
2
y
=
−
18
To make this easier, you must get rid of one variable, in this case I will remove
y
, to do this you must make the y-values in both equations the same.
To do this, I will multiply the whole of
4
x
−
y
=
−
4
by 2 to give
8
x
−
2
y
=
−
8
We now have:
8
x
−
2
y
=
−
8

5
z
+
2
y
=
−
18
All we need to do now is
(
8
x
−
2
y
+
5
x
+
2
y
)
=
(
−
18
−
8
)
≡
13
x
=
−
26
.
Divide both sides by 13 to find
x
:
13
x
=
−
26

13
x
13
=
−
26
13

x
=
−
2
Now put your value for
x
into either equation:
4
(
−
2
)
−
y
=
−
4

−
8
−
y
=
−
4

y
=
−
8
+
4

y
=
−
4
x
=
−
2
;
y
=
−
4
Answer link
7 0
3 years ago
What is the volume in cubic centimeters of a rectangular prism with a height of 8 centimeters a width of 6 centimeters and a len
IrinaK [193]

Answer:

288 cubic centimeters.

Step-by-step explanation:

The equation to find the volume of a rectangular prism is length x height x width. In this problem, there are all three measurements provided.

Using the equation l x h x w and plugging with in what you offered, it would be 8 x 6 x 6, which equals 288.

5 0
3 years ago
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