Which two known facts can be use to find 3×6

Work out radius of 1.43 x 10^5

Gennadij [26K]

Answer:

89

Step-by-step explanation:

4 0

3 years ago

Figure ABCD has vertices A(−4, 1), B(2, 1), C(2, −5), and D(−4, −3). What is the area of Figure ABCD?

Juliette [100K]

Check the picture below.

so, notice, the composite is just a 4x6 rectangle, and a triangle whose base is 6 and altitude is 2. So, we can simply get the area of each figure and sum them up.

$\bf \stackrel{\textit{area of rectangle}}{(4\cdot 6)}~~~~+~~~~\stackrel{\textit{area of triangle}}{\cfrac{1}{2}(6)(2)}$

5 0

3 years ago

Need help with this math problem

Shkiper50 [21]

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Step-by-step explanation:

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Taking a bottom-left corner of the graph as (0,0)

Given Line AB,

Point A is located as (4,9)

Point B is located as (16,1)

The slope of AB is

$=\frac{Y1-Y2}{X1-X2}$

$=\frac{9-1}{4-16}$

$=\frac{8}{-12}$

$=\frac{-2}{3}$

The question says " Draw a line passes through C(13,12) and parallel to Line AB "

Now, Let the equation of the target line is y=mx + c

Where m=slope and c is the y-intercept

The target line is parallel to the line AB

The slope of the Target line = The slope of the Line AB $=\frac{-2}{3}$

m= $=\frac{-2}{3}$

We can write, the equation of the target line is

$y=\frac{-2}{3}x + c$

Also, the Target line is passing through C(13,12)

Point C satisfies the equation

$y=\frac{-2}{3}x + c$

$12=\frac{-2}{3}13 + c$

$12=\frac{-26}{3} + c$

$12+\frac{26}{3}=c$

$c= 12+\frac{26}{3}$

$c= \frac{62}{3}$

Replacing the value

the equation of the target line is

$y=\frac{-2}{3}x + c$

$y=\frac{-2}{3}x + \frac{62}{3}$

$3y= -2x + 62$

It is also asked that if a line is extended , would it passes through the (18,-8)?

If a line passes through the point (18-,8) then, that point must satisfy the equation of a line

the equation of the target line is $3y= -2x + 62$

$3(-8)= -2(18) + 62$

$(-24)= (-36) + 62$

$(-24)= 26$

Left land side is not equal to right hand side.

Therefore. a line does not pass through the point (18,-8)

5 0

3 years ago

what is the value of y for the line that has a slope of 1 and goes through the points (-4,y) and(-2,8)

kozerog [31]

Answer:

Step-by-step explanation:

The formula of a slope:

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

We have the slope m = 1 and the points (-4, y) and (-2, 8). Substitute:

$1=\dfrac{8-y}{-2-(-4)}$

$1=\dfrac{8-y}{2}$ <em>multiply both sides by 2</em>

$2=8-y$ <em>subtract 8 from both sides</em>

$-6=-y$ <em>change the signs</em>

$6=y\to y=6$

7 0

3 years ago

11) V = tr2h solve for r2

Trava [24]

Answer:

$r^{2}=\frac{V}{\pi h}$

Step-by-step explanation:

To solve an equation for one of its variables do that:

Underline the variable
Separate it one side and the other terms on the other side
Make its coefficient equal to 1

Let us use these steps to solve our question

∵ V = πr²h

→ Underline r²

∴ V = π<u>r²</u>h

→ Take π and h to the other side by dividing both sides by πh

∵ $\frac{V}{\pi h}=\frac{\pi r^{2}h}{\pi h}$

∴ $\frac{V}{\pi h}=r^{2}$

→ The coefficient of r² is 1, so switch the two sides

∴ $r^{2}=\frac{V}{\pi h}$

8 0

4 years ago