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Viefleur [7K]
3 years ago
14

What are the slope between (-5,-2) and (8,13)​

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0

Answer:

The slope:

m = \frac{15}{13}

Step-by-step explanation:

-To determine the slope of the following points shown, you need this formula:

m = \frac{y_{2} - y{1}}{x_{2} - x_{1}}

(m represents the slope, (x_{1}, y_{1}) represents the first coordinate and (x_{2},y_{2}) represents the second coordinate)

-Apply the following points to the formula:

m = \frac{13 + 2}{8 + 5}

Then, solve:

m = \frac{13 + 2}{8 + 5}

m = \frac{15}{13}

So, the slope is \frac{15}{13}.

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...........................
cupoosta [38]

Answer:

3/5 or 0.6

Step-by-step explanation:

Here, given the value of tan theta , we want to find the value of sine theta

Mathematically;

tan theta = 0pposite/adjacent

Sine theta = opposite/hypotenuse

Firstly we need the length of the hypotenuse

This can be obtained using the Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.

Let’s call the hypotenuse h

h^2 = 3^2 + 4^2

h^2 = 9 + 16

h^2 = 25

h = √(25)

h = 5

Now from the tan theta, we know that the opposite is 3

Thus, the value of the sine theta = 3/5 or simply 0.6

5 0
4 years ago
What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?
Ahat [919]
<span>3x + y = 9 (I)
</span><span>y = –4x + 10 (II)
------------------------
</span>\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.

Pass the incognito "4x" to the first term, changing the signal when changing sides.
<span>-------------------------
simplify by (-1)
</span>\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.<span>

-------------------------
</span>\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right.     &#10;
<span>
-------------------------
</span>\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.<span>

-----------
</span>\boxed{x = 1}<span><span>

</span></span><span>Substitute in equation (I) to find the value of "Y".

</span>3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
\boxed{y = 6}

Answer:
\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}

6 0
3 years ago
What is the value of the expression below
spayn [35]

Answer:

10

Step-by-step explanation:

For this you just have to plug 2 into a and 4 into b. You come to this expression:

3(2) + 4

This gives you 10

4 0
3 years ago
Read 2 more answers
PLEASE HELP I WILL MARK YOU BRAINLIEST<br><br> FIND THE AREA OF NUMBER 3 AND 4
scoray [572]

Answer:

3. 112.2 yd

4. 30m

Step-by-step explanation:

Number 3:

  1. L × W (length × width) = A
  2. 18.7 × 6 = 112.2 yd

Number 4:

  1. B × H (base × height) = A
  2. 6 × 5 = 30 m

I hope this helps!

8 0
3 years ago
Read 2 more answers
he table represents a linear function. A two column table with six rows. The first column, x, has the entries, negative 2, negat
zmey [24]

Answer:

3

Step-by-step explanation:

Use the formula:

The slope equation using the equation of line is given as, y = mx + b, here, m is the slope and b is the y-intercept.

choose any 2 rows and plot them into the formula.

(-2)-1/(-2)-(-1) = 3

6 0
2 years ago
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