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3 years ago

The graph below represents two varying sized triangles plotted in the coordinate plane.

1 answer:

4 0

A. triangle is isosceles in several ways. We will show that |AC|=|BC|. We can use the Pythagorean Theorem to check that these both have length 22+32−−−−−−√. In the calculations below M=(3,1) is the midpoint of AB¯¯¯¯¯¯¯¯.

|AC|2|BC|2=|AM|2+|MC|2=22+32=|BM|2+|MC|2=22+32.

We can also observe that to get from A to C we go over (to the right) by two units and then up three units. To get from B to C we go over (to the left) by two units and then up three units. We travel the same distance to get from A or B to C so A and B are equidistant from C. Finally, we can draw the horizontal line of symmetry for △ABC:

hope this helps.....

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3 .. 4) through: (-2,5), slope 2.

ArbitrLikvidat [17]

Answer:

y - 5 = 2(x + 2)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Step-by-step explanation:

Step 1: Define

Slope m = 2

Point (-2, 5)

Step 2: Create equation

y - 5 = 2(x + 2)

8 0

3 years ago

Which of the following expressions does not represent "four more than one-third x"? x + 4 + 4 x + 3

Scilla [17]

1/3x +4 should be your answer

i dont know what the x + 4 + 4x + 3 means...

but by the words, it should be 1/3x + 4

hope this helps

4 0

3 years ago

Read 2 more answers

Determine whether or not the two triangles are congruent. If they are state by what postulate.

avanturin [10]

Congruent
SSS (because of Pythagoras)

8 0

3 years ago

if you subtract the least integer from the greatest integer and divide the difference by 3 the quotient is 5

vodomira [7]

Let a and b be integers and b>a, then we can say:

(b-a)/3=5 now multiply both sides by 3

b-a=15

b=15+a

So there are infinitely many pairs of integers that satisfy the conditions given in the problem. For any value a, b will be 15 units greater.

7 0

3 years ago

-4x-2y=30 1/3y=7/3x+5/3 we are supposed to use substitution when solving

seropon [69]

Answer:

The solution set is (-20/9, -95/9)

Step-by-step explanation:

To solve using the substitution method, start by solving the second equation for y.

1/3y = 7/3x + 5/3

y = 7x + 5

Now that we have this, we can plug it in for y in the first equation. Then we can solve for x.

-4x - 2(7x + 5) = 30

-4x - 14x - 10 = 30

-18x - 10 = 30

-18x = 40

x = -20/9

Now that we have the value of x, we can solve for y by inputting the x value into either equation.

-4x - 2y = 30

-4(-20/9) - 2y = 30

80/9 - 2y = 30

80/9 - 2y = 270/9

-2y = 190/9

y = -95/9

4 0

3 years ago