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3 years ago

If j = k, then j + 9 = k + 9 represents which algebraic property

Mathematics

1 answer:

sleet_krkn [62]3 years ago

8 0

Answer:

c) The given expression represents Addition Property of Equality.

Step-by-step explanation:

Here, the given expression is j = k

Now by ADDITION PROPERTY OF EQUALITY:

The property that states that if you add the same number to both sides of an equation, the sides remain equal.

So, if A = B ⇒ A + x = B + x

Now, here given that j = k

If we add the same number 9 on both the sides, the equation remains undisturbed.

⇒ j + 9 = k + 9

Hence, the above expression represents Addition Property of Equality.

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Find a whole number between 9 4/9 and the square root of 144

postnew [5]

First, we'll want to write out the equation
$9 \frac{4}{9} < n < \sqrt{144}$

then reduce what we can
$9 \frac{4}{9} < n < 12$

so this means n can equal any whole number between 9 4/9 & 12, which gives us the options of {10,11}

$n = 10 \: or \: 11$

7 0

3 years ago

Find the height of a trapezoid if the bases have lengths of 6 and 17 and the area of the trapezoid is 46 square units.

Aleksandr [31]

Answer:

4 units

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = $\frac{1}{2}$ h(a + b)

where h is the height and a, b the bases

here A = 46, a = 6 and b = 17, hence

46 = $\frac{1}{2}$ h(6 + 17) ( multiply both sides by 2 )

92 = h(23) ← divide both sides by 23 )

h = $\frac{92}{23}$ = 4 units

8 0

3 years ago

The cost of a babysitting on a cruise is 10 for the first hour, and 12 for each additional hour. If the total cost of baby Aaron

Sliva [168]

Answer:

5 hours was Aaron at the sitter

Explanation:

Cost of baby sitting for the first hour: 10

Cost of baby sitting for additional hour= 12

Total cost of babysitting= 58

Since the cost of first hour is 10

Hence the remaining cost after first hour

= 54-10

=48

Which means 1 hour is consumed in the first hour

Now to calculate the remaining hours for every additional hour

= $\frac{48}{12}$

=4 hours

Hence the total hour Aaron was with the sitter

= 1 hour + 4 hours

= 5 hours

4 0

3 years ago

PLS HELP! solve by completing the square x²+4x=8

masya89 [10]

Step-by-step explanation:

x²+4x=8

rearrange

x² + 4x - 8 = 0

half of 4 is 2

x² + 4x + 2² - 2² - 8 = 0

do x² + 4x + 2²

multiplies to give 4 adds to give 4

2+ 2

(x + 2)²

(x + 2)² - 2² - 8

(x + 2)² - 4 - 8

(x + 2)² - 12

(x + 2 + √12) (x + 2 - √12)

√12 = √4 * √3 = 2 √3

(x + 2 + 2√3) (x + 2 - 2√3)

4 0

2 years ago

"Two purple sea slugs are mated with each other. Among their numerous offspring, 428 have a purple integument and 152 have orang

Orlov [11]

Answer:55

Step-by-step explanation:

55x1=55

6 0

3 years ago