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zhenek [66]
3 years ago
13

The distance from Town A to Town B on a map is 6 inches. The actual distance from Town B to Town C is 12 miles. The scale on the

map is 1 in: 4 mi. Determine if each statement is True or False.
The actual distance from A to B is 24 mi.

The distance from B to C on the map is 36 in.

The actual distance from A to C is 4.5 mi.
Mathematics
1 answer:
Airida [17]3 years ago
7 0
True since each inch is 4 miles you time 6 by 4
false it says it is 12 miles so you divide that by 4 to get the inches
false if A to B is 24 and B to C is 12 miles there is clearly much more then 4 miles between A and C
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2x + 3y = 23<br> -1(2x + y = 13
vivado [14]

Answer:

2x +3y= 5xy

-1(2x+y= 2xy+-1 = -3xy

3 0
3 years ago
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Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id
Thepotemich [5.8K]

\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

Explanation

\frac{1}{a+bi}=c+di

Step 1

multiplicate by the conjugate

\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}

notice that

\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\  \end{gathered}\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

I hope this helsp you

6 0
1 year ago
Solve the equation <br>y=2x-4, 3x+y=11​
Ostrovityanka [42]

Answer:

(3, 2)

Step-by-step explanation:

Given the 2 equations

y = 2x - 4 → (1)

3x + y = 11 → (2)

Substitute y = 2x - 4 into (2)

3x + 2x - 4 = 11

5x - 4 = 11 ( add 4 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Substitute x = 3 into (1) for corresponding value of y

y = (2 × 3) - 4 = 6 - 4 = 2

Solution is (3, 2)

5 0
2 years ago
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Determine the discriminant of x2 = 4. <br><br> A. 17 <br> B. 16 <br> C. -15 <br> D. -10
tino4ka555 [31]
The discriminant is b<span>²-4ac
We can rewrite x</span>² = 4 to x<span>² + 0x - 4 = 0
So a = 1, b = 0, c = -4
</span>Δ = 0 - 4 * 1 * -4
Δ = 16
The answer is B
6 0
3 years ago
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Is this a function? plz help me i need help
LenaWriter [7]

Answer:

yes it is

Step-by-step explanation:

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