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2 years ago

Triangle abc is translated 5 units to the right and 4 units up to create triangle A’B’C .

Mathematics

1 answer:

eimsori [14]2 years ago

8 0

Answer:

This cannot be solved unless I have the coordinate for triangle "abc"

Step-by-step explanation:

Once I have the coordinates for triangle "abc", I can solve to find out where triangle "A'B'C" is

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given that 8-sqrt(18) over sqrt(2) = a + b sqrt(2) where a and b are integers find the value of a and b

Novay_Z [31]

Answer:

a = - 3 and b = 4

Step-by-step explanation:

Given

$\frac{8-\sqrt{18} }{\sqrt{2} }$

Simplify $\sqrt{18}$

= $\sqrt{9(2)}$ = $\sqrt{9}$ × $\sqrt{2}$ = 3 $\sqrt{2}$

Thus expression can be written as

$\frac{8-3\sqrt{2} }{\sqrt{2} }$

Multiply numerator/denominator by $\sqrt{2}$

noting that $\sqrt{2}$ × $\sqrt{2}$ = 2

= $\frac{\sqrt{2}(8-3\sqrt{2}) }{\sqrt{2}(\sqrt{2}) }$

= $\frac{8\sqrt{2}-6 }{2}$

Dividing each term on the numerator by 2

= 4 $\sqrt{2}$ - 3

= - 3 + 4 $\sqrt{2}$

with a = - 3 and b = 4

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3 years ago

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If the following system of equations was written as a matrix equation in the form AX = C, and matrix A was expressed in the form

IrinaVladis [17]

Answer: a-b+c+d =4

Step-by-step explanation:

The given system of equation is

$2x+8y=7\\4x-2y=9$

from this we have the following matrices

$A_1 =\begin{bmatrix}\\2 &8 \\ \\4&2 \\\end{bmatrix}\ ,X=\begin{bmatrix}\\x\\ \\y\\\end{bmatrix}\text{and}\ C=\begin{bmatrix}\\7\\ \\9\\\end{bmatrix}$

the given matrix A = $\begin{bmatrix}\\a &c \\ \\b &d \\\end{bmatrix}$

On comparing Matrix $A_1$ with Matrix A

$\begin{bmatrix}\\a &c \\ \\b &d \\\end{bmatrix}=\begin{bmatrix}\\2&8 \\ \\4 &-2 \\\end{bmatrix}$

we have the following values

a=2 ,b=4,c=8,d=-2

Thus a-b+c+d =2-4+8+(-2)=4

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3 years ago

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There are 95 children at sports camp. 1/5 of children want to play basketball. How many children want to play basketball?

GalinKa [24]

95/5=19 so 19 children wanted to play basketball

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3 years ago

What are the next three terms in the sequence3,6,9,12,...?

Vinil7 [7]

Answer:

15, 18, 21

Step-by-step explanation:

3, 6, 9, 12, 15, 18, 21...

3 x 5 = 15

3 x 6 = 18

3 x 7 = 21

Hope this helps! :)

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3 years ago

Danny wants to put a circular fence in his backyard. He measured from the center of his space and got 12 how much fencing does d

Umnica [9.8K]

Answer: 75.4

Steps:
Circumference = 2πr
π = pi
r = radius

2π(12) = 75.39822

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3 years ago