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3 years ago

I got to have some help on this question...

Mathematics

2 answers:

dimaraw [331]3 years ago

4 0

12 inches is the length of the larger square's side

a_sh-v [17]3 years ago

4 0

I was going to try to do it some fancy equation way, but i couldn't seem to manipulate any of my equations just the right way.

But.....I did come across the answer by chance while testing something in my calculator.

so, if y is the length of the original side of the square and x is the new length:
x+2=y

4x=perimeter of original square
4x=10+y
or
4x=10+(x+2)

I plugged 4 into this by chance and look what we have from that:
4x=10+(x+2)
4•4=10+(4+2)
16=10+6
16=16
Bingo!!! it's a match!

so the new length of one side is 6 inches.

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9. Plot the points A (-2,3), B(2,-3), C(2,3) ,D(-2,3) join the points and find the distance between each point.

pav-90 [236]

Answer:

AB=7.21 unit

BC=6 unit

CD=7.21 unit

AD= 6 unit

AC=4 unit

BD=4 unit

Step-by-step explanation:

Coordinates of A =(-2,3)

Coordinates of B = (2,-3)

Coordinates of C = (2,3)

Coordinates of D =(-2,-3)

Distance formula : $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$A=(x_1,y_1)=(-2,3)\\B=(x_2,y_2)=(2,-3)\\AB = \sqrt{(2+2)^2+(-3-3)^2}$

AB=7.21 unit

$B=(x_1,y_1)=(2,-3)\\C=(x_2,y_2)=(2,3)\\BC=\sqrt{(2-2)^2+(3+3)^2}$

BC=6

$C=(x_1,y_1)=(2,3)\\D=(x_2,y_2)=(-2,-3)\\CD=\sqrt{(-2-2)^2+(-3-3)^2}$

CD=7.21

$A=(x_1,y_1)=(-2,3)\\D=(x_2,y_2)=(-2,-3)\\AD=\sqrt{(-2+2)^2+(-3-3)^2}$

AD=6

$A=(x_1,y_1)=(-2,3)\\C=(x_2,y_2)=(2,3)$

$AC=\sqrt{(2+2)^2+(3-3)^2}$

AC=4

$B=(x_1,y_1)=(2,-3)\\D=(x_2,y_2)=(-2,-3)$

BD= $\sqrt{(-2-2)^2+(-3+3)^2}$

BD=4

4 0

2 years ago

14. The diagonals of square ABCD intersect at E. If AE = 2, find the perimeter of ABCD.

lutik1710 [3]

Answer:

B, $8\sqrt{2}$

Step-by-step explanation:

Diagonals of a square are congruent so AC= 4

using pythagorean theorem we can then do $x^{2} +x^{2}$ = $4^{2}$

$2x^{2} = 16\\x^{2} =8\\x=\sqrt{8} \\x=2\sqrt{2}$

Then for perimeter we times the $2\sqrt{2}$ by 4 and get

$8\sqrt{2}$

Hope this helps and please mark brainliest!!

8 0

2 years ago

Wou help video

iragen [17]

Answer:

The image is (-18,0)

Step-by-step explanation:

Here, we want to find the image of the given point after dilation by the given scale factor

Mathematically, given a point with the pre-image (x,y) going under the dilation of scale factor k, centered at the origin, the coordinates of the image will be;

(kx , ky)

Applying this in the given scenario, we have

(2(-9) , 2(0))

= (-18,0)

8 0

2 years ago

Pls help I’ll brainlest ASAP

Volgvan

Answer:

Step-by-step explanation:

5 0

2 years ago