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pochemuha
2 years ago
7

I attached a problem i have to write the equation in standard form using integers

Mathematics
1 answer:
maksim [4K]2 years ago
6 0

9514 1404 393

Answer:

  7x +9y = -1

Step-by-step explanation:

The standard form of the equation for a line is ...

  ax +by = c

where a, b, c are mutually prime integers and a > 0.

We can get this form by multiplying the equation by 9, adding 7x+27.

  y - 3 = -7/9(x +4)

  9y -27 = -7x -28 . . . . . multiply by 9, eliminate parentheses

  7x +9y = -1 . . . . . . . . . add 7x+27 to both sides

_____

The attached graph shows both equations. They are in different colors and textures so you can see they are the same line.

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The perimeter of rectangle is 48 cm. Find the sides of the rectangle if one of the sides is 12 cm longer than the other.
muminat

Answer:

Width is 4cm, length is 12 cm.

Step-by-step explanation:

Write the problem as an equation.

(x+12)*(x)=48

Where x is the length of the shorter side.

Solve.

(x^2)+12x=48

x=4

7 0
2 years ago
Read 2 more answers
A kayaker can paddle 12 mi in 2 h moving with the river current. Paddling at the same pace, the trip back against takes 4 h. Ass
Firdavs [7]
Downstream DATA:
distance = 12 miles 
time = 2 hours 
rate = 12/2 = 6 mph
----------------
Upstream DATA:
distance = 12 miles 
time = 4 hrs 
rate = 12/4 = 3 mph
----
Equations:
Downstream: b + c = 6
Upstream::: b - c = 3
------
Add to get:
2b = 9
b = 4.5 mph (speed of the boat in still water.)
-----
Solve for "c":
b + c = 6
4.5 + c = 6
c = 1.5 mph (speed of the current)
The answer is 1.5 mph
7 0
3 years ago
7x+2-5+8<br><br><br> Combining alike term
Murljashka [212]
Combine terms alike .
7 0
2 years ago
Read 2 more answers
According to a recent​ study, 9.3​% of high school dropouts are​ 16- to​ 17-year-olds. In​ addition, 6.4​% of high school dropou
Finger [1]

Answer:

0.688 or 68.8%

Step-by-step explanation:

Percentage of high school dropouts = P(D) = 9.3% = 0.093

Percentage of high school dropouts who are white = P(D \cap W) = 6.4% = 0.064

We need to find the probability that a randomly selected dropout is​ white, given that he or she is 16 to 17 years​ old. This is conditional probability which can be expressed as: P(W | D)

Using the formula of conditional probability, we ca write:

P(W | D)=\frac{P(W \cap D)}{P(D)}

Using the values, we get:

P( W | D) = \frac{0.064}{0.093} = 0.688

Therefore, the probability that a randomly selected dropout is​ white, given that he or she is 16 to 17 years​ old is 0.688 or 68.8%

4 0
3 years ago
February 2, the temperature at 11 AM was 5°F. At
marusya05 [52]

Answer: x = 2 degrees Fahrenheit

Step-by-step explanation:

5-3= 2 it’s a pretty simple equation

5 0
3 years ago
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