Expand and simplify 2(a+3)+3(2a-1)

PLS HELP THIS IS DUE TODAY

Anastasy [175]

Answer:

Draw a C plane and plot the dots if the coordinates

4 0

3 years ago

Read 2 more answers

(1 point) consider the function f(t)=⎧⎩⎨⎪⎪⎪⎪0,−5,−6,6,t<00≤t<11≤t<7t≥7;f(t)={0,t<0−5,0≤t<1−6,1≤t<76,t≥7; 1. wr

sergij07 [2.7K]

$f(t)=\begin{cases}0&\text{for }t$

Recall that

$u(t)=\begin{cases}0&\text{for }t$

Take it one piece at a time. For $t\ge0$ , we can scale $u(t)$ by -5:

$-5u(t)=\begin{cases}0&\text{for }t$

If we shift the argument by 1 and scale by -5, we have

$-5u(t-1)=\begin{cases}0&\text{for }t$

so if we subtract this from $-5u(t)$ , we'll end up with

$-5u(t)+5u(t-1)=\begin{cases}0&\text{for }t$

For the next piece, we can add another scaled and shifted step like

$-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t$

so that

$-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t$

For the last piece, we add one more term:

$6u(t-7)=\begin{cases}0&\text{for }t$

and so putting everything together, we get $f(t)$ :

$f(t)\equiv-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)+6u(t-7)$
$f(t)\equiv-5u(t)-u(t-1)+12u(t-7)$

5 0

3 years ago

Find the area of the rhombus. A= square units

Olin [163]

The answer should be 24 square units.

5 is the hypotenuse and the one we need is the base and the height. They gave us the height, which was 6 in total but 3 for the triangle. But we needed to find the base.

In order to do that, we need to use the Pythagorean Theorem.

a^2+b^2=c^2

3^2+b^2=5^2

9+b^2=25

Subtract 9 from both sides

b^2=16

Then square root both sides.

b=4.

Now that we have the base, you can then find the area of the triangle.

BH/2
4*3/2
12/2
6

So one triangle equals to 6. Then multiply that by 4 to find the area of the rhombus. Which would be 24 square units.

7 0

4 years ago

What is the equation of the line that passes through the point (4,3) and has a slope of 1?

Mamont248 [21]

Answer (assuming it can be in point-slope form):

$y-3 = 1(x-4)$

Step-by-step explanation:

Use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line. Substitute real values for $m$ , $x_1$ , and $y_1$ in the formula.

Since $m$ represents the slope, substitute 1 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, substitute the x and y values of (4,3) in its place. Substitute 4 for $x_1$ and 3 for $y_1$ . This gives the following equation and answer in point-slope form:

$y-3 = 1(x-4)$

5 0

3 years ago

One of the legs of a right triangle measures 17 cm and its hypotenuse measures 18 cm. Find the measure of the other leg. If nece

Keith_Richards [23]

Answer:

h² = p² + b²

Step-by-step explanation:

324 = 289 + x²

x² = 35

x = 6 is your nearest ten answer

7 0

2 years ago