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e-lub [12.9K]
3 years ago
10

Write the equation of the line that's passes through (2,-3) and a slope of -5 I standard form

Mathematics
1 answer:
sashaice [31]3 years ago
7 0
Y= - 5x + 7 

Use the point and slope to solve for b, which is 7. 
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A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cook
Nina [5.8K]

Answer:

1 cup of flour(x)=16 cookies(y)

Step-by-step explanation:

3 cups of flour=48 cookies

3/3=48/3

1 cup of flour=16 cookies

4 0
3 years ago
8x over 8 to the power of 5 = 8 to the power of 7
neonofarm [45]
Ok so if the equation is this
8x/8( 5 exponent) = 8 (7 exponent) the answer should be 8( 11 exponent)
My work is attached below.
Sorry for my awful handwriting!

6 0
3 years ago
A Wooden board is leaning against the house the base of the board is 10 feet from the base of the house and the base of the boar
astra-53 [7]

Answer: 12.20 feet.

Step-by-step explanation:

Observe in the figure attached that a right triangle is formed.

Then, you  need to remember the identity:

cos\alpha=\frac{adjacent}{hypotenuse}

In this case you can identify that:

adjacent=10\\hypotenuse=x

\alpha=35\°

Then, to find the length of the wooden board (x), you need to substitute values and solve for x.

Therefore, you get:

cos(35\°)=\frac{10}{x}\\\\(x)(cos(35\°))=10\\\\x=\frac{10}{cos(35\°)}\\\\x=12.20

The length of the wooden board is: 12.20 feet.

5 0
4 years ago
6(4x+2)=3(8x+4) ??<br> please help asap
nasty-shy [4]
6(4x + 2) = 3(8x + 4)

Reorder the terms:
6(2 + 4x) = 3(8x + 4)
(2 * 6 + 4x * 6) = 3(8x + 4)
(12 + 24x) = 3(8x + 4)

Reorder the terms:
12 + 24x = 3(4 + 8x)
12 + 24x = (4 * 3 + 8x * 3)
12 + 24x = (12 + 24x)

Add '-12' to each side of the equation.
12 + -12 + 24x = 12 + -12 + 24x

Combine like terms: 12 + -12 = 0
0 + 24x = 12 + -12 + 24x
24x = 12 + -12 + 24x

Combine like terms: 12 + -12 = 0
24x = 0 + 24x
24x = 24x

Add '-24x' to each side of the equation.
24x + -24x = 24x + -24x

Combine like terms: 24x + -24x = 0
0 = 24x + -24x

Combine like terms: 24x + -24x = 0
0 = 0

Solving
0 = 0
4 0
3 years ago
Read 2 more answers
Find the distance between the points.<br> (r, s) and (0, 0)
zhenek [66]

Answer:  \sqrt{r^2+s^2

=====================================================

Reason:

Plot the points (0,0) and (r,s). You can place (r,s) anywhere you want.

Connect the two points mentioned and form a right triangle such that the segment from (0,0) to (r,s) is the hypotenuse of said right triangle.

The horizontal leg has a length of r-0 = r units, while the vertical leg will be 's' units.

Check out the diagram below.

We then apply the pythagorean theorem to say r^2+s^2 = h^2 where h is the hypotenuse. Solving for h gets us h = \sqrt{r^2+s^2}. We only focus on the positive square root since a negative hypotenuse makes no sense.

Since we made the hypotenuse the segment with endpoints (r,s) and (0,0), this means the hypotenuse length and the distance are the same thing.

Therefore, the distance from (r,s) to (0,0) is \sqrt{r^2+s^2}

As an alternative, you can use the distance formula to get the same answer. The distance formula is effectively the pythagorean theorem phrased a different way.

5 0
2 years ago
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