Yo bros I been sick the past few weeks of school and missed a lot. I am swamped with hw and If any yall have time to please help me out? My teacher is adding 10 more assignments if I can't finish this one by 3. Please even if its just part of the page help a person out? I'll be your friend :(

9514 1404 393

  see below

Step-by-step explanation:

When calculations are repetitive, I find a spreadsheet to be useful. Here, once the formula is entered, the rest is data entry and matching results with offered choices. (You have to do those steps no matter how you do the calculations.)

The 2-point formula for a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Then the coefficient of x, which is the slope, or "m" is ...

  m = (y2 -y1)/(x2 -x1)

and the y-intercept is found by comparing the forms ...

  y = m(x -x1) +y1

  y = mx + b

Expanding the first form gives ...

  y = mx -m·x1 +y1

  y = mx +(y1 -m·x1)

so, the y-intercept is ...

  b = y1 -m·x1

__

The two bolded formulas above were used to fill the columns for m and b in the spreadsheet. You need to know your decimal/fraction equivalents to make use of the results:

  0.333 = 1/3

  0.5 = 1/2

  0.75 = 3/4

  0.67 = 2/3

(Of course, some are not exact conversions, but represent the way the spreadsheet numbers need to be interpreted.)

__

Other advice on strategy

The 'b' numbers are mostly integers, so it can be faster to find the answer by looking for a match for that.

If you don't know how to use a spreadsheet, it is worth your time to figure it out. For the kind of work shown here, it is not rocket science. Most computer platforms come with a spreadsheet program. If not, Google Sheets is available for free, and has on-line help.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.