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2 years ago

2. Luanne read the same number of pages in

Mathematics

1 answer:

neonofarm [45]2 years ago

6 0

Answer:

48 pages

Step-by-step explanation:

Total no of pages = 196 pages

No of pages read on last day = 52 pages

Subtract the amount she read on the fourth day from the total no of pages.

196 pages - 52 pages = 144 pages

No of pages on the first three days = 144 pages

No of pages read each day = 144/3 = 48 pages

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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

Evaluate each expression for g = -7 and h = 3 and match it to its value.

Leno4ka [110]

I got 4 but i’m not 100% correct

4 0

2 years ago

Kate, Alexia, and Trina just completed the 400-meter dash at the track meet. Kate finished the race 6 seconds faster than Alexia

Digiron [165]

Answer:

Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds

Step-by-step explanation:

A = K + 6

T = K - 3

K + A + T = 2 min 39 sec or 159 sec

K + (K + 6) + (K - 3) = 159sec

3K + 3 = 159sec

3K = 156sec

K = 52 sec

A = 52 + 6 = 58 sec

T = 52 - 3 = 49 sec

8 0

2 years ago

In a triangle, Angle B is twice as large as Angle A. Angle C is five more than

Leona [35]

Answer:

<A = 35 degrees

Step-by-step explanation:

<A = x

<B = 2x

<C = 2x + 5

X + 2x + 2x + 5 = 180 degrees

5x + 5 = 180

5x = 180 -5

x = 175/5

x = 35

4 0

2 years ago

I need help on this.

tatiyna

9514 1404 393

Answer:

(a) $1430

(b) $1340

Step-by-step explanation:

(a) The debit card is funded by Jenny's checking account, so it cannot be used to spend more than her checking account balance. The most Jenny can spend using her debit card is $1430.

(b) Amounts purchased using her credit card add to the credit balance. The most Jenny can purchase is the difference between her current balance and her credit limit.

Limit - balance = $2350 -1010 = $1340

The most Jenny can spend using her credit card is $1340.

(c) For a purchase of $1400, the amount available on Jenny's credit card is insufficient. She can make the purchase using her debit card.

5 0

2 years ago