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2 years ago

Write the definition of Congruent Segmentsas a Biconditional Statement.

Mathematics

1 answer:

Anna35 [415]2 years ago

3 0

Answer:

A bi conditional statement is a combination of a conditional statement and its converse written in the if and only if form. Two line segments are congruent if and only if they are of equal length

Step-by-step explanation:

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Johnny was walking down the street and he found 20$ so he went into the shop and bout three ice cream cones boxes how much money

timofeeve [1]

Answer:

he has 1 $ left

Step-by-step explanation:

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2 years ago

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Matt Kaminsky bought a Volvo that is 33∕4 times as expensive as the car his parents bought. If his parents paid $8,000 for their

Mashutka [201]

33/4 is the same as 8 1/4

so that means that matt bought the Volvo for 8 1/4 times as much as the car his parents bought.

therefore... 8,000 times 8.25 = 66,000

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2 years ago

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If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))

julsineya [31]

Answer:

$f(g(-1))=4$

$g(f(3))=50$

Step-by-step explanation:

We know the definition of both functions: $f(x)=3x-2$ , and $g(x)=x^2+1$

A) In order to evaluate what $f(g(-1)) is$ , let's first investigate what g(-1) is using the definition for this function:

$g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2$

Now let's find what f(2) is using f(x) definition: $f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4$

B) In order to evaluate what $g(f(3)) is$ , let's first investigate what f(3) is using the definition for this function:

$f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7$

Now let's find what g(7) is using the definition for this function:

$g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50$

4 0

2 years ago

Simplify (Are all division) 2+4i 3i 3+2i 4+i 2i^11

Alla [95]

$We\ know:\ i=\sqrt{-1}\to i^2=-1$

$\dfrac{2+4i}{3i}=\dfrac{2+4i}{3i}\cdot\dfrac{3i}{3i}=\dfrac{6i+12i^2}{9i^2}=\dfrac{6i+12(-1)}{9(-1)}\\\\=\dfrac{6i-12}{-9}=\dfrac{2i-4}{-3}=\dfrac{4}{3}-\dfrac{2}{3}i$

$\dfrac{3+2i}{4+i}=\dfrac{3+2i}{4+i}\cdot\dfrac{4-i}{4-i}=\dfrac{(3+2i)(4-i)}{4^2-i^2}\\\\=\dfrac{(3)(4)+(3)(-i)+(2i)(4)+(2i)(-i)}{16-(-1)}=\dfrac{12-3i+8i-2i^2}{16+1}\\\\=\dfrac{12+5i-2(-1)}{17}=\dfrac{12+5i+2}{17}=\dfrac{14+5i}{17}=\dfrac{14}{17}+\dfrac{5}{17}i$

$2i^{11}=2i^{10+1}=2i^{10}i^1=2i^{2\cdot5}i=2i(i^2)^5=2i(-1)^5=2i(-1)=-2i$

$Used:\ (a+b)(a-b)=a^2-b^2$

6 0

2 years ago

What is the value of x in the equation 2(x – 3) + 9 = 3(x + 1) + x?

Lana71 [14]

Answer:

Given the equation: $2(x-3)+9=3(x+1)+x$

Distributive property of multiplication states that when a number is multiplied by the sum of the two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately i.e,

$a \cdot (b+c) = a\cdot b+a\cdot c$