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pav-90 [236]
3 years ago
10

Find the distance between the points (-7, 5) and (4, 1).

Mathematics
2 answers:
Alla [95]3 years ago
8 0
2 because the square root is 12 and the distance is 12 units
anygoal [31]3 years ago
7 0
\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ -7}}\quad ,&{{ 5}})\quad 
%  (c,d)
&({{ 4}}\quad ,&{{ 1}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ 4}}-{{ (-7)}})^2 + ({{ 1}}-{{ 5}})^2}
\\\\\\
d=\sqrt{(4+7)^2+(1-5)^2}
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3 0
4 years ago
carmel can drive 320 miles on one tank of gas, and one tankful costs $39. how many tanks of gas will she need to drive 2,240 mil
BARSIC [14]

Answer:

She will need 7 tanks of gas. It will cost $273.

Step-by-step explanation:

First, we divide the amount of miles that she needs to go by the amount she can drive on one tank.

2240/320 = 7

She will need 7 tanks. Multiply the cost of one tank by 7.

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It will cost $273 total.

4 0
4 years ago
Solve the absolute value equation, if possible. If there is no solution, explain why.
kipiarov [429]

Answer:

the equation | 5x + 10| = -7 has no solution for x ∈ R.

Step-by-step explanation:

Given the absolute value equation

| 5x + 10| = -7

  • We know that absolute value is always positive.

Reason:

The reason is that the absolute value is the distance from the number 0. Hence, it can not be less than or equal to a negative number.

Conclusion:

Therefore, we conclude that the absolute value of any number would be either 0 or positive as it can not less than or equal to a negative number.

Therefore, the equation | 5x + 10| = -7 has NO SOLUTION for x ∈ R.

7 0
3 years ago
Solve formula for V B=3 V/h
Rudiy27

Answer: V=\frac{hB}{3}

Step-by-step explanation:

We are given the equation B=\frac{3V}{h}. We want to isolate V.

B=\frac{3V}{h}            [multiply both sides by h]

hB=3V          [divide both sides by 3]

V=\frac{hB}{3}

Now we know V=\frac{hB}{3}.

5 0
3 years ago
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