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2 years ago

In the length of each leg of an isosceles triangle is 13 and the base is 24, the length of the altitude to the base is

Mathematics

1 answer:

Likurg_2 [28]2 years ago

6 0

Answer:

<h2>altitude = 5</h2>

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

$a^2+12^2=13^2$

$a^2+144=169$ <em>subtract 144 from both sides</em>

$a^2=25\to a=\sqrt{25}\\\\a=5$

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Solve equation <br> 9x^2+7x=3

Nonamiya [84]

I’m not for sure but if I had to guess I would say 115

3 0

2 years ago

Please help FAST:

Alex_Xolod [135]

Answer:

car a, car b

Step-by-step explanation:

car a 2x + 2= 4x

car b 3x + 3= 9x

both cars 13x

8 0

2 years ago

What is this answer???

wlad13 [49]

Answer:

∠ ABC = 116°

Step-by-step explanation:

Since the angles are supplementary, they sum to 180° , that is

8x - 36 + 4x - 12 = 180

12x - 48 = 180 ( add 48 to both sides )

12x = 228 ( divide both sides by 12 )

x = 19

Then

∠ ABC = 8x - 36 = 8(19) - 36 = 152 - 36 = 116°

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2 years ago

The initial cost of an office fax machine is $100. After 1 year, its value becomes $80. Which is the correct linear depreciation

Elis [28]

Answer:

$y=100-20x$

Step-by-step explanation:

Let the x-axis be the time (in years) and the y-axis the value of the fax machine (in dollars).

We know that the initial value of the fax machine is $100; in other words, when the time is zero years, the value is $100, or as an ordered pair (0, 100). We also know that after 1 year the value decreases to $80, so (1, 80).

Now we can find the slope of the line passing through those two points using the slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

where

$m$ is the slope

$(x_1,y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

Replacing values:

$m=\frac{80-100}{1-0}$

$m=-20$

Now, to complete our model we are using the point slope formula

$y-y_1=m(x-x_1)$

where

$m$ is the slope

$(x_1,y_1)$ are the coordinates of the first point

Replacing values:

$y-100=-20(x-0)$

$y-100=-20x$

$y=-20x+100$

$y=100-20x$

We can conclude that the correct linear depreciation model is $y=100-20x$

7 0

2 years ago

Solve by Substitution -8x-10y=12 -7x-10y=3

Harlamova29_29 [7]

Answer:

Point Form:

(−9,6)

Equation Form:

x=−9,y=6

Step-by-step explanation:

3 0

2 years ago