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1 year ago

What is the slope intercept form of (3,3) (7,-1)

1 answer:

5 0

Slope intercept form follows this general equation...
$y=mx+b$
With this information you have posted, all you can do is find slope, your m. To calculate for slope, you need to use this following equation...
$m= \frac{y_2-y_1}{x_2-x_1}$
Then, you pick one of your coordinate pairs to be 1 and the other to be 2. I will choose the first coordinate pair as 1, so...
$m=\frac{-1-3}{7-3} =-1$
You plug in -1 into your slope formula...
$y=-1x+b$
Now, to find your y-intercept, or b, you must plug in one of your coordinate pairs. In that equation, you may plug in the values (3,3), so you'll have...
$3=-1(3)+b$
Just solve for b and you will be done

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Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged

Over [174]

The area of a square is expressed as the length of the side to the power of two, A = s^2. We were given the area of the enlarged photo which is 256 in^2. Also, it was stated that the length of the enlarged photo is the length of the original photo plus ten inches. So, from these statements we can make an equation to solve for x which represents the length of the original photo.

A = s^2
where s = (x+10)
A = (x+10)^2 = 256
Solving for x,
x= 6 in.

The dimensions of the original photo is 6 x 6.

8 0

1 year ago

Read 2 more answers

RS=2x-8, ST= 11, RT= x+10

swat32

Answer:

X=7 ST=11 RT=17

Step-by-step explanation:

RT=RS+ST. RS= 2(7)-8. ST=11

X+10=2x-8+11. =14-8=6. RT= x+10

X+10=2x+3. RS=6. 7+10=17

10=x+3. RT=17

X=7

4 0

1 year ago

What is the sum of StartRoot negative 2 EndRoot and StartRoot negative 18 EndRoot?

Darya [45]

Answer:

$4 \sqrt{2} i$

Step-by-step explanation:

We want to find the sum of

$\sqrt{ - 2} + \sqrt{ - 18}$

We can rewrite this as

$\sqrt{ 2 \times - 1} + \sqrt{ 18 \times - 1}$

This becomes;

$\sqrt{2} \times \sqrt{ - 1} + \sqrt{18} \times \sqrt{ - 1}$

Recall that;

$i = \sqrt{ - 1}$

This implies that;

$\sqrt{2} i + 3 \sqrt{2} i$

Combine like terms:

$4 \sqrt{2} i$

3 0

1 year ago

The following table shows last year's revenue for each Herman's Hoagies location.

SOVA2 [1]

Answer:

The revenue for Granton location is 175 thousand dollars

Step-by-step explanation:

Given

Cedarton 121

Rimber 189

Linton 147

Mean = 158

Required

Revenue for Granton location.

To calculate the revenue for Granton location, we make use of mean formula.

Mean is calculated by Summation of Observation divided by number of observations.

Since Granton location is unknown; Let it be represented by letter G.

So, the summation of observation becomes 121 + 189 + 147 + G

Summation = 457 + G

The number of observations = 4

Recall that Mean = Summation ÷ Number

By substituting 158 for mean, 457 + G for summation and 4 for number, we have

158 = (457 + G) ÷ 4

158 = ¼(457 + G)

Multiply both sides by 4

4 * 158 = = 4 * ¼(457 + G)

632 = 457 + G

Make G the subject of formula

G = 632 - 457

G = 175

Hence, the revenue for Granton location is 175 thousand dollars

8 0

1 year ago

Read 2 more answers

On a piece of paper, graph y< x-3. Then determine which answer matches<br> the graph you drew

Aneli [31]

Answer:

The graph is shown below.

Step-by-step explanation:

Given:

The inequality of a line to graph is given as:

$y$

In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,

$y=x-3$

Now, we plot this line on a graph. The given line is of the form:

$y=mx+b$ Where, 'm' is the slope and 'b' is the y-intercept.

So, for the line $y=x-3$ , $m=1,b=-3$

The y-intercept is at (0, -3).

In order to draw the line correctly we find another point. Let the 'y' value be 0.

Now, $0=x-3\\x=3$

So, the point is (3, 0).

Now, we mark these points and draw a line passing through these two points.

Now, consider the line inequality $y$ . The 'y' value is less than $x-3$ . So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.

The graph is shown below.

5 0

2 years ago