Heather bought a new shirt for $17.46. She paid with a $20 bill. How much change did she get back?

Compare and contrast XY with XY.

mojhsa [17]

Answer:

${}$ XY $\overline {XY}$

Represent a distance ${}$ √

Represent a segment ${}$ √

Represent a numerical value ${}$ √

Represent a geometric figure √

Can be found by applying the ruler postulate ${}$ √

Can be be duplicated with a compass and a straight edge √

Step-by-step explanation:

The difference between XY and $\overline {XY}$ are that the points XY represents the distance between two points having a numerical value whose value can be found by using a ruler to find difference in the numbers on the ruler that coincides with the points, while

4 0

2 years ago

Write the equation of the line fully simplified slope-intercept form.

FinnZ [79.3K]

Answer:

y=-4/10x+ 5 or y=-0.4x+5

Step-by-step explanation:

The formula for slope is y=mx+b. The "m" is the slope, the "x" is constant, and "b" is your y-intercept.

1. Figure out your slope:

Easiest way to do this is by using rise/run. You. take your point to the left and count how many spaces up or down it is from the second point, and then repeat that across the x-axis.

2. Determine whether it is positive or negative

A line with a positive slope is going to be angled upward and a line with a negative slope will be angled downward

3. Find the y-intercept

Simply look at the graph and find where the line crosses the y-axis

4. Plug everything into the equation

Once you do Steps 1-3, just plug everything in and you're done! If you have any questions, feel free to ask!

7 0

1 year ago

Compute the integral (a) int sin (pi x) dx by letting u = pi x. (b) int e^(x/2) dx by letting u = x/2. Show that you got the cor

Maslowich

Answer:

(a) $\int sin(\pi x) dx$ $=-\frac {cos \pi x}{\pi}+c$

(b) $\int e^\frac{x}{2} dx$ $=2e^\frac{x}{2}+c$

Step-by-step explanation:

(a)

$\int sin(\pi x) dx$

Let u = π x

differentiating with respect to x

du = π dx

$\Rightarrow dx=\frac{du}{\pi}$

Putting the value of x and dx

$=\int sin u \frac{du}{\pi}$

$=\frac{-cos u}{\pi}+c$ [ c is an arbitrary constant]

Now putting the value of u

$=-\frac {cos \pi x}{\pi}+c$

(b)

$\int e^\frac{x}{2} dx$

Let $u=\frac{x}{2}$

differentiating with respect to x

$du= \frac{1}{2} dx$

2du = dx

Putting the value of x and dx

= $\int e^u.2.du$

= $2e^u +c$

Now putting the value of u

$=2e^\frac{x}{2}+c$ [ c is an arbitrary constant]

3 0

1 year ago

Perform the indicated operation. (y4 - 1) ÷ (y + 1)

Valentin [98]

$The\ domain:\\D:y\neq-1\\\\(y^4-1)\div(y+1)=\dfrac{(y^2)^2-1^2}{y+1}=\dfrac{(y^2-1)(y^2+1)}{y+1}\\\\=\dfrac{(y-1)(y+1)(y^2+1)}{y+1}=(y+1)(y^2+1)=y^3+y^2+y+1\\\\Used:\\(a^n)^m=a^{nm}\\\\a^2-b^2=(a-b)(a+b)$

7 0

2 years ago

Read 2 more answers

By what percentages are Spain’s high category and medium category less than the United States’ categories (to the nearest tenth

Alex73 [517]

Answer:

i doing the same problem like this, i was too lazy to do it but since there is no answer on the internet, here you are :

High category : 58%

Medium category : 61.0%

Step-by-step explanation:

Explain : like i said, i have a same question :D

4 0

2 years ago