7. Write the sum of (12 + 1) - (18+51) in the form a + bi.

withdraws $ from bank account once each day for days. What integer represents the change in the amount in the account? Use pen

REY [17]

Answer:

a. Sam withdraws $11 from his account. That means his account balance reduces by $11 so the integer is -$11.

He does this 4 times so;

= 4 * -11

= -$44

b. He then deposits $11 once every day for 4 days.

= 4 * 11

= $44

c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.

4 0

3 years ago

14/38 simplified? Thanks!

ira [324]

14/38 simplified would be 7/19

5 0

3 years ago

ΔABC is a right triangle. Prove: a2 + b2 = c2 Right triangle BCA with sides of length a, b, and c. Perpendicular CD forms right

777dan777 [17]

Answer: Pythagorean Theorem Pieces of Right Triangles is not a justification for the proof.

Explanation : Here, $\triangle ABC$ is a right triangle with sides a, b and c. Perpendicular CD forms right triangles BDC and CDA.

CD measures h units, BD measures y units, DA measures x units.

Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b, segment AB = c, segment CD = h, segment DB = y, segment AD = x,

y + x = c

a/c=y/a( Similarity theorem in triangles ABC and DBC )

$a^2 = cy$ ------(1) (Cross Product Property)

Similarly, $b^2 = cx$ (Similarity theorem in triangles ABC and ADC)---------(2)

$a^2 + b^2 = cy + cx$ (after adding equation (1) and (2) )

$a^2 + b^2 = c(y + x)$ ( By additional property of equality)

$a^2 + b^2 = c^2$ . ( because y + x=c)

Thus, it has been proved that except Pythagorean Theorem Pieces of Right Triangles we use all other properties.

8 0

3 years ago

Read 2 more answers

A rational number can be written as the ratio of one blank to another and be represented by a repeating or blank decimal. What a

Makovka662 [10]

The answer is a rational number is one integer divided by another, and can be represented in either decimal of fraction form. The explanation behind this is visualize you are using long division to divide one number by one more. You divide, and then you acquire a remainder. Then you carry down a zero (multiply by ten) and divide again. Well, there are only so many balances you could perhaps have. For example, for 5, your choices are 0, 1, 2, 3, and 4. Sooner or later, you will replicate a remainder, at which fact you will just keep dividing the same method you did last time you saw that remainder -- and that's the reason why it repeats.

4 0

3 years ago

One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which

anzhelika [568]

First recognize that the unit rate we're finding is gallons per hour, or $\frac{g}{h}$ .

rate for Tank 1 = x gallons per hour = a gallons / b hours

$T_{1}=\frac{\frac{5}{8}}{\frac{7}{10}}\\\\T_{1}=\frac{5}{8}*\frac{10}{7}\\\\T_{1}=\frac{50}{56}\\\\\\Fill\ rate\ of\ Tank\ 1=\frac{25}{28}$

rate for Tank 2 = y gallons per hour = c gallons / d hours

$T_{2}=\frac{\frac{5}{9}}{\frac{2}{3}}\\\\T_{2}=\frac{5}{9}*\frac{3}{2}\\\\T_{2}=\frac{15}{18}\\\\T_{2}=\frac{15}{18}\\\\\\Fill\ rate\ of\ Tank\ 2=\frac{5}{6}$

3 0

3 years ago