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2 years ago

A triangle has vertices atA(-7,6) B(4,9) C(-2,-3)What are the coordinates of each vertex if the triangle is

Mathematics

1 answer:

nexus9112 [7]2 years ago

5 0

Answer:

Step-by-step explanation:

A translation 4 units right means add 4 to the original x- coordinate.

A translation 6 units down means subtract 6 from the original y- coordinate.

The translation rule is (x, y ) → (x + 4, y - 6), thus

A(- 7, 6 ) → A'(- 7 + 4, 6 - 6 ) → A'(- 3, 0 )

B(4, 9 ) → B'(4 + 4, 9 - 6 ) → B'(8, 3 )

C(- 2, - 3 ) → C'(- 2 + 4, - 3 - 6 ) → C'(2, - 9 )

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Simplify. Assume that no denominator is equal to zero.

nikklg [1K]

$\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{(2a^7b)^2}{32b^6}\implies \cfrac{(2^2a^{7\cdot 2}b^2)}{32b^6}\implies \cfrac{4a^{14}b^2}{32b^6}\implies \cfrac{a^{14}}{8b^6b^{-2}}\implies \cfrac{a^{14}}{8b^{6-2}}\implies \cfrac{a^{14}}{8b^4}$

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2 years ago

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X-4=10;4x+1=57<br>i need to change the first equation into to the second equation.

cestrela7 [59]

Is this what you mean this is what i understood.

X-4=10;4x+1=57

First equation solve for x.

X-4=10

Add 4 both sides

X=10+4

X=14

Second equation substitute your x answer into second equation to make both sides equal.

4x+1=57

4(14)+1=57

56+1=57

57=57

4 0

2 years ago

Need help due tonight!!

Luba_88 [7]

Answer:

Step-by-step explanation:

Each side length is being multiplied by 8

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2 years ago

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What is the rate of decay for the function f(x) =2(0.95)^x ( x is on top of the parentheses)

SIZIF [17.4K]

Answer:

The decay rate is 5%.

Step-by-step explanation:

Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function

$f(t) = P(1 - \frac{r}{100})^{t}$ ........... (1)

Comparing this equation with the original equation given as

$f(x) = 2(0.95)^{x}$ ............ (2) we get,

$(1 - \frac{r}{100}) = 0.95$

⇒ $\frac{r}{100} = 0.05$

⇒ r = 5%.

Therefore, the decay rate is 5%. (Answer)

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3 years ago

A field is to be fertilized at a cost of $0.08 per square yard. The rectangular part of the field is 95 yards long and the diame

dem82 [27]

this gives
total area of the field = 4655 sqyrd + 1884.79 sqyrd = 6539.79 sqyrd
cost of fertilising 1 sqyrd = $ 0.08
so cost of fertilising 6539.79 sqyrd = 6539.79 * $ 0.08 = $ 523.18

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3 years ago