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3 years ago

HELP I NEED HELP ASAP

Mathematics

1 answer:

Roman55 [17]3 years ago

7 0

9514 1404 393

Answer:

C. (10, 5), (5, 0), (0, 5)

Step-by-step explanation:

In order for the square to have an area of 50 square units, its side lengths must be √50 = 5√2 units long. The only way to get such a length with integer coordinates is for the sides of the square to be themselves the diagonals of a square 5 units on a side.

That is, two of the other vertices of the square must be among ...

(5±5, 10±5) ⇒ (10, 15), (0, 15), (10, 5), (0, 5)

Only choice C contains two of the vertices on this list.

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PLEASE HELP

poizon [28]

Part A
The given line passes through (-2,2) and it is parallel to the line

$4x - 3y - 7 = 0$

We need to determine the slope of this line by writing it in slope -intercept form.

$3y = 4x - 7$

$y = \frac{4}{3} x - \frac{7}{3}$
The slope of this line is
$\frac{4}{3}$

The line parallel to this line also has slope

$m = \frac{4}{3}$

The equation is

$y = \frac{4}{3} x + c$

We substitute (-2,2)

$2 = \frac{4}{3}( - 2) + c$

$c = 2 + \frac{8}{3} = \frac{14}{3}$

The required equation is

$y = \frac{4}{3} x + \frac{14}{3}$

PART B

The given line is

$4x - 3y - 7 = 0$

The slope of this line is
$\frac{4}{3}$

The slope of the line perpendicular to it is

$m = - \frac{3}{4}$

The equation of the line is

$y = - \frac{ 3}{4} x + c$

We substitute the point, (-2,2)

$2= - \frac{ 3}{4} ( - 2) + c$

$2= \frac{ 3}{2} + c$

$c = 2 - \frac{3}{2} = \frac{1}{2}$

The equation of the perpendicular line is

$y= - \frac{ 3}{4} x + \frac{1}{2}$

6 0

3 years ago

P equals 42. if the width of a rectangle is 8 inches what is the length of the rectangle

loris [4]

Perimeter = 2L + 2W
42= 2L + 2(8)
26 = 2L
13 = L

3 0

2 years ago

X is greater than or equal to 6 graph the inequality

Leni [432]

it is 0,6 if its 6x

8 0

3 years ago

Given the sum s20= 910 of an arithmetic sequence and A20 = 95, Find A1

Inessa05 [86]

Step-by-step explanation:

Sn=n/2(2a+(n-1)d)

910=n/2{2a+(n-1)d}

1820=n{2a+(n-1)d}

1820=20{2a+(20-1)d}

1820=20{2a+19d}

91=2a+19d

An=a+(n-1)d

95=a+(20-1)d

95=a+19d

91=2a+19d

---------------

4=-a

a=-4

91=2a+19d

91=2(-4)+19d

91=-8+19d

91+8=19d

99=19d

d=99/19

A=-4

5 0

2 years ago

How can I find the value of X?

BARSIC [14]

Answer:

Step-by-step explanation:

Remark

The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.

The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.

So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.

Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.

Proportion

AB / AC = AE/AD

Givens

AB = 10

AC = 18

AE = 8

AD = x + 8

Solution

Substitute the Givens into the Proportion.

10/18 = 8/(x + 8) Cross multiply

10(x + 8) = 8 * 18 Simplify both sides

10x + 80 = 144 Subtract 80 from both sides

10x + 80 - 80 = 144 - 80

10x = 64 Divide by 10

10x/10 = 64/10

Answer: x = 6.4

5 0

2 years ago