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3 years ago

What is the area of the rhombus?

Mathematics

1 answer:

Mrac [35]3 years ago

6 0

From the question we know that:
the first diagonal = 3 + 3 = 6 units length
the second diagonal = 4 + 4 = 8 units length

The area of a rhombus could be determined using
a = 1/2 × d₁ × d₂

Input the numbers to the formula
a = 1/2 × 6 × 8
a = 1/2 × 48
a = 24
The area is 24 units area

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Factor the GCF: −12x4y − 9x3y2 + 3x2y3 (5 points)

garri49 [273]

$-12x4y - 9x3y^2 + 3x^2y^3 = 3xy(-16 -9y + xy^2)$

8 0

2 years ago

Which function is the inverse of f(x)= B^X

Scrat [10]

Answer:

Step-by-step explanation:

Let's retype that as y = b^x. The inverse of this function is log y = x

which you could also write as y = ln x

If you had y = e^x, the inverse function would be y = ln x.

Note that if you let ln x be the input to y = e^x, the result would be just 'x,' which confirms that these two functions are inverses of one another.

8 0

3 years ago

Someone please help, its for a hw assignment I have due today. What is the equation of the line through (3, 7) that is perpendic

Brilliant_brown [7]

The required equation is:

$y=-\frac{6}{5}x+\frac{53}{5}$

Step-by-step explanation:

Let l_1 be the line through (-1, -2) and (5, 3)

and l_2 be the line we require which passes through (3,7)

We have to find the lope of l_1 first

$m_1=\frac{y_2-y_1}{x_2-x_1}\\=\frac{3-(-2)}{5-(-1)}\\=\frac{3+2}{5+1}\\=\frac{5}{6}$

we have to find the equation of line perpendicular to l1

The product of slopes of two perpendicular lines is -1

Let m_2 be the slope of l_2

Then

$\frac{5}{6}*m_2=-1\\m_2=-\frac{6}{5}$

The general slope-intercept form is:

y=mx+b

Putting the value of slope

$y=-\frac{6}{5}x+b$

To find the value of b, we will put (3,7) in the equation

$7=-\frac{6}{5}(3)+b\\7=-\frac{18}{5}+b\\b=7+\frac{18}{5}\\b=\frac{35+18}{5}\\b=\frac{53}{5}$

Putting the values of b and m in standard slope intercept form:

$y=-\frac{6}{5}x+\frac{53}{5}$

Hence,

The required equation is:

$y=-\frac{6}{5}x+\frac{53}{5}$

Keywords: Equation of line

Learn more about equation of line at:

#LearnwithBrainly

7 0

3 years ago

Any answers get 5 stars, Best answer gets brainliest!

Romashka [77]

B: Negative 9 and 3 over 6

4 0

3 years ago

Read 2 more answers

What is √101.6064 in to 1 decimal place and in standard form?<br>NEED ASAP

Dimas [21]

Note that

10² = 100

0.08² = 0.0064

and

101.6064 = 100 + 1.6 + 0.0064

It also happens that

1.6 = 2 • 10 • 0.08

which means

101.6064 = 100 + 1.6 + 0.0064

101.6064 = 10² + 2 • 10 • 0.08 + 0.08²

101.6064 = (10 + 0.08)²

101.6064 = 10.08²

which means

√101.6064 = 10.08

which, to one decimal place, is approximately 10.1.

3 0

2 years ago