(-2+6i)(-5 + 3i) answer

In wxy,wy is congruent to xy the perimeter of wxy is 76 inches,how many inches is wx

hoa [83]

If wy is congruent to xy, then from w to y is equal to the distance between x and y. According to the figure, both distances are 3m-4 each. Therefore the perimeter is the sum of the three sides, namely:

$p = m + (3m-4) + (3m-4)=76in$

Solving for m:
$m + (3m-4) + (3m-4)=76$
$7m-8=76$
$7m=84$
$m=12$

Finally:
wx is the distance $m=12in$

5 0

4 years ago

Read 2 more answers

Marissa dug three fifths of a hole in one tenth of an hour. Find the rate in holes per hour

snow_lady [41]

Answer:

Step-by-step explanation:

This might be easier to do in decimals. Let's try it.

3/5 = 0.6

1/10 = 0.1

rate = holes / hours

rate = 0.6/0.1

rate = 6 holes per hour

Try it with fractions.

rate = $\frac{\frac{3}{5} }{\frac{1}{10} }$ Invert and multiply the 1/10

rate = $\frac{3}{5} *\frac{10}{1}$ = 30/5 = 6

It's the same answer. Pick the method that you feel most comfortable with.

3 0

3 years ago

NutritionCalc Plus uses the equations from the National Academy of Medicine to calculate the Estimated Energy Requirement (EER)

olga nikolaevna [1]

Answer:

The correct option is (A).

Step-by-step explanation:

The equation for the Estimated Energy Requirement (EER) of 19 or more years older men is:

$EER = 662 - (9.53 \times AGE) + PA \times (15.91 \times WT + 539 \times HT)$

Here,

AGE = age counted in years

PA = appropriate physical activity factor

WT = weight in kilograms

HT = height in meters

The physical activity factor for men and women is:

Activity Level PA (men) PA (Women)

Sedentary 1.00 1.00

Low 1.11 1.12

Active 1.25 1.27

Very Active 1.48 1.45

Given:

AGE = 22 year-old male college student

PA = low = 1.11

WT = 180 pounds = 81.6466 kg

HT = 5'10" = 1.778 m

Compute the value of EER as follows:

$EER = 662 - (9.53 \times AGE) + PA \times (15.91 \times WT + 539 \times HT)$

$= 662 - (9.53 \times 22) + 1.11 \times (15.91 \times 81.6466 + 539 \times 1.778)\\\\=662-209.66+1.11\times (1298.997406+958.342)\\\\=452.34+2505.64674066\\\\=2957.98674066\\\\\approx 2962$

Thus, the EER for a 22-year-old male college student is approximately 2962 kcal.

The correct option is (A).

6 0

3 years ago

Jaime knows that 30² is 900. He wonders if knowing that 30² can help him finds 29x31. Raquel knows what 25² equals. How can she

iragen [17]

9514 1404 393

Answer:

Jaime: yes: 29·31 = 900 -1 = 899

Raquel: 24·26 = 25^2 -1 = 624

Step-by-step explanation:

The difference of squares factors as the product of the sum and difference of the roots:

a^2 -b^2 = (a -b)(a +b)

Jaime

29·31 = (30 -1)(30 +1) = 30^2 -1^2 = 900 -1 = 899

Jaime can subtract 1 from 30^2 to find 29·31

__

Raquel

24·26 = (25 -1)(25 +1) = 25^2 -1^2 = 625 -1 = 624

Raquel can subtract 1^2 from 25^2 to find 24·26.

3 0

3 years ago

What is the length of each leg of the triangle below?

timama [110]

Answer:

A. 15

Step-by-step explanation:

Hypotenuse = 22

Since the two angles other than the 90° are both

45° , it means that the two legs of the right triangle are of equal length.

So, (x)²+ (x)² = 22²

2x² = 22²

x² = 484/2

x² = 242

x = √242

x = 15.55

x ≈ 15

3 0

2 years ago

(-2+6i)(-5 + 3i) answer​

(-2+6i)(-5 + 3i) answer