All categories

3 years ago

In the coordinate plane three vertices of rectangle ABCD are A(0,0), B(0,a) and D(b,0). What are the coordinates of point C?

Mathematics

1 answer:

ElenaW [278]3 years ago

3 0

Answer:

C (a, b) is the cordinates of point c.

You might be interested in

Find the area of the figure.

Anettt [7]

Answer: 28.5 square units.

Step-by-step explanation: Separate the figure into a rectangle and a triangle. Count the length and width of the rectangle. The length of the rectangle is 8 units and the width is 3 units. To find the area use the formula l*w. 8*3=24.

Next find the area of the triangle section. The triangle is 3 units tall and 3 units wide. To find the area use the formula 1/2(l*w). 3*3=9. 9/2=4.5.

Finally add the areas of the rectangular section and the triangular section. 24+4.5=28.5.

4 0

3 years ago

(−5)3x7(yz)4 / (3)2x2y8z2

g100num [7]

Answer:

$\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}$

Step-by-step explanation:

Given:

The expression to simplify is given as:

$\frac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}$

In order to simplify this, we have to use the law of indices.

1. $(ab)^m=a^mb^m$

So, $(yz)^4=y^4z^4$

Substitute this value in the above expression. This gives,

$=\dfrac{(-5)3x^7y^4z^4}{(3)2x^2y^8z^2}\\\\\\=\dfrac{-15x^7y^4z^4}{6x^2y^8z^2}......(-5\times 3=15\ and\ 3\times 2=6)$

Now, we use another law of indices.

2. $\frac{a^m}{a^n}=a^{m-n}$

So, $\frac{x^7}{x^2}=x^{7-2}=x^5,\frac{y^4}{y^8}=y^{4-8}=y^{-4}, \frac{z^4}{z^2}=z^{4-2}=z^2$

Substitute these values in the above expression. This gives,

$=\frac{-15}{6}\times x^5\times y^{-4}\times z^2\\\\=\frac{-5x^5y^{-4}z^2}{2}$

Finally, we further simplify it using the law $a^{-m}=\frac{1}{a^m}$

So, $y^{-4}=\frac{1}{y^4}$

Therefore, the given expression is simplified as:

$\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}$

5 0

3 years ago

Find a linear function g, in slope intercept form, given g(-2)=-3 and g(2)=1

Zigmanuir [339]

G(x)= x-1

Hope this helps!

8 0

3 years ago

Write a formula for a line that passes through the point (x,y) = (-3,5) and has an undefinedslopes.

Vladimir [108]

A line with undefined slope has an equation x=a.

So, for a line that passes through the point (x,y) = (-3,5) ,

has the equation x= - 3.

5 0

4 years ago

A company has actual unit demand for four consecutive years of 100, 105, 135, and 150. The respective forecasts were 120 for all

Lubov Fominskaja [6]

Answer:

c. 20

Step-by-step explanation:

Calculation to determine Which of the following is the resulting MAD value that can be computed from this data

Using this formula

MAD= [ABS( Year 1 actual unit demand - Forecast) + ABS (Year 2 actual unit demand - Forecast) + ABS (Year 3 actual unit demand - Forecast) + ABS (Year 4 actual unit demand - Forecast)]/ Number of years

Let plug in the formula

MAD = [ABS(100 - 120) + ABS (105 - 120) + ABS (135 - 120) + ABS (150 - 120)]/4

MAD =(ABS 20) + (ABS 15) + (ABS 15) + (ABS 30)/4

MAD= 80/4

MAD=20

Therefore the resulting MAD value that can be computed from this data is 20

8 0

3 years ago