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tigry1 [53]
3 years ago
14

The equation of the line y=

Mathematics
1 answer:
vovangra [49]3 years ago
3 0
8x - 3y = 7 ; (8, -6)
-3y = 7 - 8x
y = -7/3 + 8/3x
y = 8/3x - 7/3  original equation given in slope intercept form
(y + 6) = 8/3 (x - 8) new equation in point slope form
y + 6 = 8/3x - 21 1/3
y = 8/3x - 15 1/3 new equation in slope intercept form (answer)
y = 8/3x - 46/3 new equation in slope intercept form (answer)
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Two horses are ready to return to their barn after a long workout session at the track. The horses are at coordinates H(1,10) an
lana [24]
Distance between points \left(x_1,y_1\right) and \left( x_2,y_2 \right) is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Distance from H to B:

[tex]d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269}d=\sqrt{(1-(-3))^2+(10-(-9))^2}=\sqrt{16+361}=\sqrt{376}[/tex] units.

Distance from Z to B:

d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269} units.

Horse Z is closer to the barn.

(The conversion to meters is not required; the question does not ask for actual distances, so "units" is OK.)
6 0
4 years ago
Kelly has 50% more money than Luis. Luis has $40. If Luis gets $8 more, will Kelly still have more money than Luis? What percent
OverLord2011 [107]

Answer:

Kelly will still have more money than Luis

Kelly will have 25% more

Step-by-step explanation:

Let x represent the amount of money Kelly has and y, Luis

Luis has $40

and Kelly has 50% more money than Luis

Therefore, Kelly has;

50% of $40 + $40

= 0.5*40 + 40

= $60

If Luis gets $8 more, Luis will have;

$8 + $40 = $48

since Luis' $48 is less than Kelly's $60, Kelly will still have more money than Luis

Difference in their money = $60 - $48 = $12

Therefore, Kelly will have;

12/48 * 100 more than Luis

= 25% more

8 0
3 years ago
Show why the following statement is true:<br> 2^−1/2 = 1/2^1/2
Alik [6]

In order to solve a negative exponent, you have to consider the multiplicative inverse of the base:

a^{-m}=\dfrac{1}{a^m}=\left(\dfrac{1}{a}\right)^m

So, if we solve the negative exponent on the left hand side, we have

2^{-\frac{1}{2}}=\dfrac{1}{2^\frac{1}{2}}=\left(\dfrac{1}{2}\right)^{\frac{1}{2}}

which is the right hand side.

6 0
3 years ago
Please help I don’t get this at all
igor_vitrenko [27]

Answer:

11.82 kilometers in Luis's journey in total

Step-by-step explanation:

As per the statement:

To visit his grandmother

Distance Luis takes a train 6.37 kilometers

Distance  Luis takes a car 5.45 kilometers.

We have to find the total distance.

\text{Total distance} = \text{distance by train}+\text{distance by car}

Substitute the given values we have;

\text{Total distance Lui's journey} = 6.37+5.45 = 11.82 km

Therefore, 11.82 kilometers in Luis's journey in total


4 0
3 years ago
The total number of​ restaurant-purchased meals that the average person will eat in a​ restaurant, in a​ car, or at home in a ye
myrzilka [38]

Step-by-step explanation:

Below is an attachment containing the solution.

8 0
3 years ago
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