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Ilya [14]
4 years ago
8

What is the relationship between the ratios? 10/24 and 5/12 Drag and drop to complete the statement. The ratios are proportional

Mathematics
1 answer:
Sunny_sXe [5.5K]4 years ago
3 0
5/12 multiplied by 2 equals 10/24 which when divided by 2 it equals 5/12
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The point slope form of the equation of the line that passes through (-5-1) and (10.-7) is
Natalka [10]

Answer:

The standard form of the equation for this line can be:

l: 2x + 5y = -15.

Step-by-step explanation:

Start by finding the slope of this line.

For a line that goes through the two points (x_0, y_0) and (x_1, y_1),

\displaystyle \text{Slope} = \frac{y_{1} - y_{0}}{x_{1} - x_{0}}.

For this line,

\displaystyle \text{Slope} = \frac{(-1) - (-7)}{(-5) - 10} = -\frac{2}{5}.

Find the slope-point form of this line's equation using

  • \displaystyle \text{Slope} = -\frac{2}{5}, and
  • The point (-5, -1) (using the point (10, -7) should also work.)

The slope-point form of the equation of a line

  • with slope m and
  • point (x_{0}, y_{0})

should be l:\; y - y_{0} = m(x - x_0).

For this line,

  • \displaystyle m = -\frac{2}{5}, and
  • x_0 = -5, and
  • y_0 = -1.

The equation in slope-point form will be

\displaystyle l:\; y - (-1) = -\frac{2}{5}(x - (-5)).

The standard form of the equation of a line in a cartesian plane is

l: \; ax + by = c

where

a, b, and c are integers. a \ge 0.

Multiply both sides of the slope-point form equation of this line by 5:

l:\; 5 y + 5 = -2x -10.

Add (2x-5) to both sides of the equation:

l: \; 2x + 5y = -15.

Therefore, the equation of this line in standard form is l: \; 2x + 5y = -15.

7 0
3 years ago
An object is launched from a platform.
tankabanditka [31]

Answer:

  10

Step-by-step explanation:

Ground level is where h = 0, so solve the equation ...

  h(x) = 0

  -5(x -4)^2 +180 = 0 . . . . substitute for h(x)

  (x -4)^2 = 36 . . . . . . . . . . divide by -5, add 36

  x -4 = 6 . . . . . . . . . . . . . . positive square root*

  x = 10 . . . . . . add 4

The object will hit the ground 10 seconds after launch.

_____

* The negative square root also gives an answer that satisfies the equation, but is not in the practical domain. That answer would be x = -2. The equation is only useful for time at and after the launch time: x ≥ 0.

8 0
3 years ago
X+2y=6<br> 2x+4y=12<br><br> I need to use substitution to solve, may anybody help?
lana66690 [7]

x + 2y = 6

x =  - 2y + 6
2( - 2y + 6) + 4y = 12
then find y and plug that y value into one of the original equations to find x

Hope this helps!
7 0
3 years ago
= 1 square foot<br> Find the area of the figure.<br> square feet
Alborosie
Is there more to this question?
6 0
4 years ago
Read 2 more answers
Answer the question in the picture. If its right I’ll mark brainliest
Kisachek [45]

Answer:

The answer is c!

Step-by-step explanation:

5 0
3 years ago
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