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nata0808 [166]
3 years ago
14

Using a suitable identity solve the following (7a-9b)(7a-9b)

Mathematics
1 answer:
yuradex [85]3 years ago
4 0

Answer:

49a^2 - 126ab + 81 ^2

Step-by-step explanation:

Suitable identity = (a-b)(a-b) = a^2 - 2ab + b^2

So, to solve this.

(7a-9b)(7a-9b) = 49a^2 - 126ab + 81b^2

Hope this helps

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In △ABC, point D∈AC
Maslowich
<h3>Answer:</h3>
  • ABDC = 6 in²
  • AABD = 8 in²
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<h3>Explanation:</h3>

A diagram can be helpful.

When triangles have the same altitude, their areas are proportional to their base lengths.

The altitude from D to line BC is the same for triangles BDC and EDC. The base lengths of these triangles have the ratio ...

... BC : EC = (1+5) : 5 = 6 : 5

so ABDC will be 6/5 times AEDC.

... ABDC = (6/5)×(5 in²)

... ABDC = 6 in²

_____

The altitude from B to line AC is the same for triangles BDC and BDA, so their areas are proportional to their base lengths. That is ...

... AABD : ABDC = AD : DC = 4 : 3

so AABD will be 4/3 times ABDC.

... AABD = (4/3)×(6 in²)

... AABD = 8 in²

_____

Of course, AABC is the sum of the areas of the triangles that make it up:

... AABC = AABD + ABDC = 8 in² + 6 in²

... AABC = 14 in²

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Please help<br><br>problem 1, 2 and 3​
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Answer:

See attached

Step-by-step explanation:

When there is a lot of repetitive calculation to do, I like to let a spreadsheet or graphing calculator do it. The attached shows a spreadsheet that computes all the values you're asked to find.

For a linear equation in standard form, ax +by = c

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Of course, the slope-intercept form of the equation is ...

  y = (slope)·x + (y-intercept)

and the values of the various points on the graph can be computed from that equation.

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You will note that the last two equations describe the same line.

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<em>Note on spreadsheet formulas</em>

When you put the formulas into the spreadsheet, make sure to fix the column number or row number of the values you're computing, as appropriate. For example, the y-values in the different columns always use the slope from the slope column (fixed), the y-intercept from that column (fixed), and the x-value from the top row (fixed). If you make the cell references relative instead of fixed, you will get wrong answers.

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