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Temka [501]
3 years ago
13

Find the distance between the two points. Round your solution to 2 decimal points.

Mathematics
1 answer:
VashaNatasha [74]3 years ago
6 0
Notice the grid, the points are (-5, -2) and (4, -1), thus

\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\ \quad \\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~{{ 4}} &,&{{ -1}}~) 
%  (c,d)
&&(~{{ -5}} &,&{{ -2}}~)
\end{array}~~
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[-5-4]^2+[-2-(-1)]^2}\implies d=\sqrt{(-5-4)^2+(-2+1)^2}
\\\\\\
d=\sqrt{(-9)^2+(-1)^2}\implies d=\sqrt{81+1}\implies d=\sqrt{82}
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(3,4) and (12,19) find the equation of the line that passes through it
harina [27]

Answer:

The equation of the line will be:

y=\frac{5}{3}x-1

Step-by-step explanation:

Given the points

  • (3, 4)
  • (12, 9)

Finding the slope between (3, 4) and (12, 9)

\left(x_1,\:y_1\right)=\left(3,\:4\right),\:\left(x_2,\:y_2\right)=\left(12,\:19\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

m=\frac{19-4}{12-3}

m=\frac{5}{3}

The equation of the line can be obtained using the point-slope form of the equation of the line

y-y_1=m\left(x-x_1\right)

substituting the values m = 5/9 and the point (3, 4)

y-4=\frac{5}{3}\left(x-3\right)

y-4+4=\frac{5}{3}\left(x-3\right)+4

y=\frac{5}{3}x-1

Therefore, the equation of the line will be:

y=\frac{5}{3}x-1

5 0
2 years ago
Enter a negative number that is greater than -8
Art [367]

Answer:

-7

Step-by-step explanation:

5 0
3 years ago
a mixture of peanuts and corn sells for P40 per kilo. The peanuts sell for P42 per kilo while the corn sells for P36 per kilo. h
Lelu [443]

Answer:

The weight of peanuts in the mixture   = 8  kg

The weight of corns in the given mixture = 4 kg

Step-by-step explanation:

Let us assume the weight of peanuts in the mixture   = x kg

The weight if corns in the given mixture = y kg

Total weight = (x + y) kg

The combined mixture weight = 12 kg

⇒ x  + y = 12  ..... (1)

Cost of per kg if mixture  = $ 40

So, the cost of (x + y) kg mixture  = (x+y) 40 = 40(x+ y)   ..... (2)

 

The cost of 1 kg of peanuts =  $ 42

So cost of x kg of peanuts  = 42 (x)  = 42 x

The cost of 1 kg of corns  = $ 36

So cost of y kg of corns  = 36 (y)  = 36 y

So, the total cost of x kg peanuts  + y kg corns =  42 x +  36 y  .... (3)

From (1) and (2), we get:

40(x+ y)  = 42 x +  36 y

x +  y = 12 ⇒ y = 12 -x

Put this in  40(x+ y)  = 42 x +  36 y

We get:

40(x+ 12 -x)  = 42 x +  36 (12 -x)

480 = 42 x + 432 - 36 x

or, 480 - 432 = 6 x

or, x  = 8

⇒ y = 12 -x = 12 - 8 = 4

⇒  y = 4

Hence, the weight of peanuts in the mixture   = 8  kg

The weight of corns in the given mixture = 4 kg

5 0
2 years ago
In a certain field, the ratio of pigs to sheep is 8 3 . If there are 165 pigs and sheep altogether in a field, how many sheep ar
SVEN [57.7K]

Answer:

8/3 is a real, rational number Here's the categories: I. Real : Includes all numbers except square roots of negative numbers and fractions with 0 in their denominator A. Rational : a real number expressible as a ratio of whole numbers, or as a decimal have a continuous repeating trend, like 0.3333333, which is the case in this situation a.

(I'm not sure this is the answer your looking for.. but if it is, yw! :)

6 0
3 years ago
Read 2 more answers
the perimeter of a parrallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Find the length
Papessa [141]
L+L+(L-4)+(L-4)=72

4L-8=72
4L=80
L= 20

so W= 20-4 or 16
7 0
3 years ago
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