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4 years ago

What is the fourth vertex?

Mathematics

1 answer:

kirza4 [7]4 years ago

5 0

Answer:

The three vertices of the rectangle are A(2,-1), B(5,-3), and C(7,0). Determine the fourth vertex co-ordinates. I first plotted the three lines, Ellena, which pairs I joined in order to start a rectangle was clear from their location. There was a mistake. You can verify that they are at this point and then proceed.

Step-by-step explanation:

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Find the value of y.<br> PLS I NEED HELP WITH THIS FAST

Ugo [173]

Answer:

$y = \sqrt{6}$

$y = 2.4494897428$

Step-by-step explanation:

We know value of x is

$2 \sqrt{3}$

or 3.46410161

Using pythagorean theorem,

${a}^{2} + {b}^{2} = {c}^{2}$

${2 \sqrt{3} }^{2} + {y}^{2} = {4 \sqrt{3} }^{2}$

$6 + {y}^{2} = 12$

Subtract 6 from 12

${y}^{2} = 6$

Square root 6 to get value of y

$\sqrt{6}$

Answer:

$y = \sqrt{6}$

$y = 2.4494897428$

8 0

3 years ago

Problem: 2m+12=3m−31 2m+12=3m−31 (If there is no solution, type in "no solution") m= Answer

gogolik [260]

Answer:

M=43

Step by Step Explanation:

2m+12= 3m-31

2m+12-2m=3m-31-2m

12=1m-31

12+31=1m-31+31

43=1m

Check:

2(43)+12=3(43)-31

86+12=129-31

98=98

5 0

3 years ago

Susie has 8 pieces of string that measure a total of 58.4 inches. If each piece of string is the same length, how long is each p

quester [9]

Answer:

Step-by-step explanation: just multiply ur numbers together . Duh

3 0

3 years ago

Read 2 more answers

A parabola has its vertex at (2, 2), and the equation of its directrix is y = 2.5. The equation that represents the parabola is

Xelga [282]

Answer:

In vertex form the equation is $y=-\frac{1}{2}(x-2)^2+2$

In standard form the equation is $y=-\frac{1}{2}x^2+2x$

Step-by-step explanation:

The equation of the directrix tells us that this is an x-squared parabola. Because the directrix is above the vertex, the parabola will open downward. The vertex form of this equation is:

$4p(y-k)=-(x-h)^2$

where p is the number of units between the directrix and the vertex. The number of units here is .5 or 1/2. Filling in the coordinates of the vertex and the p value of 1/2:

$4(.5)(y-2)=-(x-2)^2$

Simplifying we have:

$2(y-2)=-(x-2)^2$

Divide both sides by 2 to get:

$y-2=-\frac{1}{2}(x-2)^2$

Add 2 to both sides to get the final vertex form:

$y=-\frac{1}{2}(x-2)^2+2$

If you want that in standard form, you first need to expand the squared term to get:

$y=-\frac{1}{2}(x^2-4x+4)+2$

Order of operations tells us that we have to distribute in the -1/2 first to get:

$y=-\frac{1}{2}x^2+2x+2-2$

which simplifies to the standard form:

$y=-\frac{1}{2}x^2+2x$

5 0

3 years ago

Directions: Factor completely. Show your work to receive full credit. (4.5 points each)

tia_tia [17]

Answer:

See below in bold.

Step-by-step explanation:

6x^2+42x The greatest common factor is 6x so we have:

6x(x + 7).

x^2 - 7x - 30

Note that: + 3 * -10 = -30 and + 3 - 10 = -7 so the factors are:

(x - 10)(x + 3).

x^2 + 9x + 20

Note that + 5 * +4 = +20 and +4 + 5 = + 9;

= (x + 5)(x + 4).

x^2 - 14x + 48

Note that -6 * -8 = 48 and -6 - 8 = -14 so:

= (x - 6)(x - 8).

2x^2 + 21x - 11

When the leading coefficient is greater than 1 we can use

the ac method:

2 * -11 = -22

Now we need 2 numbers whose sum is + 21 and whose product is -22.

They are +22 and -1. So we write:

2x^2 + 21x - 11

= 2x^2 + 22x - 1x - 11 Factor this by grouping:

= 2x(x + 11) - 1(x + 11)

The x + 11 is common so the answer is:

(2x - 1)(x + 11).

5a^2 - 125 The GCF is 5 so we have:

5(a^2 - 25) Now we have the difference of 2 squares in the parentheses so

this is 5(a - 5)(a + 5).

3 0

3 years ago