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irina [24]
3 years ago
14

Fill in the blank to make it a true statement: 50 ___ |-50|

Mathematics
1 answer:
prisoha [69]3 years ago
5 0

Answer:

Equal to.

Step-by-step explanation:

Absolute value is when a number is changed into it's exact opposite, however, the absolute value of any number is always a positive number.

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Undersea explorers discover a second sentient race living on Earth. This species is scientifically much more advanced but cannot
Pavel [41]

Answer:

  46 cm

Step-by-step explanation:

Let p represent the length in cm of 1 bap'ai; let k represent the length in cm of 1 bok'ai. Then we have ...

  12p +2k = 100

  10p +10k = 100

Subtracting the second equation from 5 times the first, we get ...

  5(12p +2k) -(10p +10k) = 5(100) -(100)

  50p = 400

  p = 8 . . . . cm

Then the second equation tells us ...

  10(8) +10k = 100

  10k = 20

  k = 2 . . . . cm

Then 5p+3k = 5(8) +3(2) = 46 cm.

The distance 5 bap'ai and 3 bok'ai is 46 cm.

8 0
3 years ago
Given the polynomial 21x 4 + 3y - 6x 2 + 34 What polynomial must be subtracted from it to obtain 29x 2 - 7 ? What polynomial mus
fredd [130]

Answer:

1. 21x⁴+3y-35x² + 41

2. -21x⁴-3y+6x² + x

Step-by-step explanation:

When adding and subtracting polynomials , you can use the distributive property to add or subtract the coefficients of like terms.

1. The polynomial is 21x⁴ + 3y -6x² + 34

To obtain polynomial 29x² -7 , we must subtract some polynomial from it.

Let that polynomial be k.

So, 21x⁴ + 3y -6x² + 34 - k =  29x² -7

k = 21x⁴ + 3y - 6x² +34 - 29x² +7 = 21x⁴ + 3y - 35x² + 41

2. To obtain a first degree polynomial, let that polynomial be x +34

So, 21x⁴ + 3y - 6x² + 34 + K = x + 34

K = x + 34 - 21x⁴ -3y + 6x² - 34

  = -21x⁴ - 3y + 6x² + x

6 0
4 years ago
Plz help
Levart [38]
There should be 20 students in Mr. Matthew’s class if 30% likes black licorice.
3 0
3 years ago
Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)
Inga [223]
  • Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept

So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: -4y=-3x+9

Next, divide both sides by -4 and your slope-intercept form of the original equation is y=\frac{3}{4}x-\frac{9}{4}

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

-5=-\frac{4}{3}*-4+b\\\\-5=5\frac{1}{3}+b\\\\-10\frac{1}{3}=b

<u>In short, your new equation is y = -4/3x - 10 1/3.</u>

3 0
3 years ago
Read 2 more answers
The value of a house has increased by $4,200 in the past year. By what percent has the value increased if the value last year wa
IgorC [24]

Answer:

The value has increased by <u>8 percent</u>.

Step-by-step explanation:

Given:

The value of a house has increased by $4,200 in the past year.

The value last year was $52,500.

Now, to find the percent increased.

<em>Value of house = $52,500.</em>

<em>Value of house last year increased by = $4200.</em>

So, to get the percent increased:

\frac{Value\ of\ house\ last\ year\ increased\ by} {Value\ of\ house}\times 100.

=\frac{4200}{52500} \times 100

=0.08\times 100

=8\ percent.

Therefore, the value has increased by 8 percent.

6 0
3 years ago
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