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3 years ago

A right triangle's height is 3 times the length of its base. if the area of the triangle is 600, what is the height?

1 answer:

3 0

a = 1/2 x b x h

h = 3b

so 1/2 x b x 3b = (1/2)(3b^2) = 150

(150 x 2)/3 = b^2

100 = b^2

b = square root of 100 = 10

h = 3b = 3 x 10 = 30

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Friend of mine needs an explanation of this problem.

horsena [70]

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8 0

2 years ago

Look for a pattern for the decimal 0.555, the value of the digit in the tenths place is how many times as munch as the value of

Galina-37 [17]

the value of the digit in the tenths place is 5/10 or 0.5

the value of the digit in the thousandth place is 5/1000 = 0.005

0.5 = 100 x 0.005

Therefore, the value of the digit in the tenths place is 100 times as much as the value of the digit in the thousandth place

3 0

3 years ago

If f(x) = 4(3x - 5), find f-1(x)

deff fn [24]

Answer:

$f^{-1}(x) = \frac{1}{12}(x+20)$

Step-by-step explanation:

Given: f(x) = 4(3x - 5)

Is required to find f⁻¹(x)

f(x) = y = 4(3x - 5)

∴ y = 4 * 3x - 4 * 5

∴ y = 12x - 20 ⇒ add 20 to both sides

∴ y + 20 = 12x ⇒ divide both sides by 12

∴ $\frac{1}{12} (y+20) = x$

Replace the places of x and y.

∴ $y=\frac{1}{12} (x+20)$

∴ $f^{-1}(x) = \frac{1}{12}(x+20)$

7 0

3 years ago

Simplify the expression -2x^2(4x − 3). -8x3 − 6x2 -8x3 + 6x2 8x3 − 6x2 8x3 + 6x2

Digiron [165]

To simplify the expression we are going to use the distributive property of multiplication: $a(b+c)=ab+ac$ .
We can infer from our problem that $a=-2x^2$ , $b=4x$ , and $c=-3$ . So lets apply the property to simplify our expression:
$-2x^2(4x-3)=(-2x^2)(4x)+(-2x^2)(-3)$
$(-2x^2)(4x)+(-2x^2)(-3)=-8x^3+6x^2$

We can conclude that the correct answer is -8x3 + 6x2

8 0

3 years ago

Graph the line that passes through the points (6, 4)and (8, 8) and determine the equation of the line.

Lesechka [4]

Wow, what a coincidence, I just learned this at school today!
1. Slope
M= yb-ya/xb-xa
M= 8-4/8-6
M= 4/2
M= 2

2. Y-intercept
Y= mx + b
4 = (2)(6) + b
4 = 12 + b
4 = 12 + b
-12 = - 12 + b
-8 = b

Therefore, the equation is Y = 2x - 8

6 0

3 years ago