What do rigid motions preserve

Joe wants to carpet the floor of a bedroom. A floor plan is shown. Find the area of parts A + C. Be sure to include units?

jeyben [28]

Answer:

20*30 + 10*10 = $700 ft^2$

4 0

3 years ago

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what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?

Deffense [45]

Answer:

1

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = $y-y_1 = m(x-x_1)$

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation $y=-\frac{3}{4}x+5$

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is $-\frac{1}{3}$ .

So, since the given slope is -3/4, the negative reciprocal is $\frac{4}{3}$ .

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

$y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)$

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

$y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1$

The y-intercept of the line is 1.

3 0

2 years ago

What is 22 pt =______ qt

Dahasolnce [82]

Answer:

13.2104

hope this helps

8 0

3 years ago

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The sum of two numers is 52 . The difference of the two numbers is 38 . What are the two numbers? Write the two numbers separate

Ray Of Light [21]

Let the first number be 'x' and the second number is 'y'

Equation 1: x + y = 52
Equation 2: x - y = 38

Rearranging equation 2 to make either x or y the subject
x = 38 + y

Substituting x = 38 + y into equation 1

x + y = 52
(38+y) + y = 52
38 + 2y = 52
2y = 52 - 38
2y = 14
y = 7

Substitute y = 7 into either equation 1 or equation 2 to find x

x + y = 52
x + 7 = 52
x = 52 - 7
x = 45

x = 45
y = 7

8 0

3 years ago

The graph below shows a quadratic function f(x) and an absolute value function g(x)

Sophie [7]

Answer:

The x-values that are approximate solution of the equation $f(x) = g(x)$ are $x_{1} \approx -3.5$ and $x_{2}\approx 5$ , respectively.

Step-by-step explanation:

From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for $f(x) = g(x)$ , which are described below:

$x_{1} \approx -3.5$ and $x_{2}\approx 5$

The x-values that are approximate solution of the equation $f(x) = g(x)$ are $x_{1} \approx -3.5$ and $x_{2}\approx 5$ , respectively.

6 0

3 years ago