Katrina saved $300 last summer. Of that amount , 12% how much Came from her allowance

Find the coordinates for the midpoint of the segment with endpoints give (3,5) and (-2,0)

Leto [7]

Answer:

The coordinates of the mid-point are :

$(\frac{1}{2}, \frac{5}{2})$

Step-by-step explanation:

We know that, the coordinates of the mid-point (x, y) of a line segment joining the points (x₁, y₁) and (x₂, y₂) is given by

$(x, y) = (\frac{x_{1} +x_{2} }{2},\frac{y_{1}+y_{2} }{2} )$

Now, we have the given points as (3, 5) and (-2, 0).

By using the above formula, coordinates of the mid-point (x, y) of the line-segment joining the points (3, 5) and (-2, 0) is given by,

$x = \frac{3+(-2)}{2} = \frac{3-2}{2} = \frac{1}{2}$

$y = \frac{5+0}{2} = \frac{5}{2}$

∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is $(\frac{1}{2}, \frac{5}{2})$ .

8 0

2 years ago

Simply the product -7x/5y * 5x/-7

ch4aika [34]

We are asked to simplify the expression $\frac{-7x}{5y} \cdot \frac{5x}{-7}$ ,

what we do is, we form a single fraction where the numerator is the product of the numerators, and the denominator is the product of the denominators, that is:

$\frac{-7x}{5y} \cdot \frac{5x}{-7}= \frac{-7\cdot5 \cdot x \cdot x}{5 \cdot(-7) \cdot y}$

simplify the common numbers and terms in the numerator and denominator:

$\frac{-7\cdot5 \cdot x \cdot x}{5 \cdot(-7) \cdot y}=\frac{5 \cdot x \cdot x}{5 \cdot y}=\frac{x \cdot x}{y}= \frac{ x^{2} }{y}$

Answer: $\frac{ x^{2} }{y}$

5 0

2 years ago

Read 2 more answers

102 + 7y = 16 15x + 8y 29 Is this consistent or inconsistent

mel-nik [20]

Answer:

Step-by-step explanation:

18y

6 0

2 years ago

Read 2 more answers

Regular admission price for a family to enter an amusement park is $345.80. The Patel family used a discount coupon that gave th

mylen [45]

100-35=65
65 over 100 x 345.80
=224.77
345.80-224.77=121.03

3 0

2 years ago

Find the length of the diameter of circle 0

r-ruslan [8.4K]

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

5 0

1 year ago