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Bezzdna [24]
3 years ago
13

Whats the distance between (-8,-7) (8,-4)

Mathematics
1 answer:
balandron [24]3 years ago
8 0
To find the distance between points, use the distance formula.

Distance formula: \sqrt{ (x_{2} -  x_{1})^{2} + ( y_{2} -  y_{1})^{2} }

Plug in your values for x_{2},  x_{1},  y_{2},  y_{1} using (-8, -7) and (8, -4) and solve.

\sqrt{(8 - (-8))^{2}+(-4 - (-7))^{2}}
\sqrt{(8+8)^{2}+(-4+7)^{2}}
\sqrt{(16)^{2}+(3)^{2}}
\sqrt{256+9}
\sqrt{265} ≈ 16.28

Answer:
Approximately 16.28 units.
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Mr Ruiz drove 305 miles in 5 hours on Saturday and 190 miles in 4 hours on Sunday what is his average speed in miles per hour fo
Snezhnost [94]

Add the mileage together to find total miles.

Add the hours together.

Divide total miles by total hours.

305 + 190 = 495 miles

5 + 4 = 9 hours.

495 / 9 = 55 miles per hour.

The average speed was 55 miles per hour.

4 0
3 years ago
A baby weighed 7.25 pounds at birth. At the end of 8 months, the baby weighed 212
Vinil7 [7]

Answer:

1537pounds

Step-by-step explanation:

Given parameters:

  Weight of baby at birth  = 7.25 pounds

   

Unknown:

Weight at the end of 8months = ?

Solution:

 From the second sentence;

    Weight at the end of the eighth month = 212 x weight at birth.

Input the parameters and solve;

  Weight at the end of eighth month = 212 x  7.25  = 1537pounds

7 0
4 years ago
Is 3:4 equivalent to 12:24
Nuetrik [128]
No because 3 times 4 is 12 but 4 times four is 16 and TO get from 4 to 24 you multiply 6 but 6 times 3 is 18 so no I think
3 0
4 years ago
Read 2 more answers
What is the focus of the parabola given the equation y=x^2+4x-1
IrinaK [193]
Let's first rewrite it in vertex form.
Start by completing the square.
y = x² + 4x + 4 - 4 - 1
y = (x + 2)² - 5
(x + 2)² = y + 5

Now, 4a = 1; a = \frac{1}{4}

So, the vertex form is (x + 2)² = 4(\frac{1}{4})(y + 5)
So, we know that the vertex is at (-2, -5).
Since it's a concave up parabola, we just have to change the y-value to find the focus.

∴ F(-2, -5 + \frac{1}{4})
F(-2, \frac{-19}{4})
3 0
3 years ago
Y=5x+2 <br> 4x-y=0<br> is (2,12) a solution of the system?
Svetach [21]

Answer:

The point (2,12) is not a solution of the system

see the explanation

Step-by-step explanation:

we have

y=5x+2 ----> equation A

4x-y=0 ----> equation B

Solve the system by elimination

Adds equation A and equation B

y=5x+2\\4x-y=0\\------\\y+4x-y=5x+2+0\\4x=5x+2\\5x-4x=-2\\x=-2

Find the value of y

substitute the value of x in the equation A

y=5(-2)+2=-8

The solution of the system is the point (-2,-8)

The system has only one solution, because the intersection point both lines is only one point

therefore

The point (2,12) is not a solution of the system

6 0
3 years ago
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