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olya-2409 [2.1K]
3 years ago
7

The base of a triangle measures (3x − 6) units and the height measures (2x + 4) units.

Mathematics
1 answer:
ella [17]3 years ago
5 0

Answer With Step-by-step explanation:

Part A:

.5[ (3x – 6) (2x + 4) ]

.5(6x^2 - 24)

3x^2 - 12

Part B:

Second Degree Binomial

Part C:

For Part A, a polynomial was multiplied by another polynomial. The resulting product was a polynomial. This is a demonstration of the closure property for multiplying polynomials.

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For the following system, use the second equation to make a substitution for y in the first equation.
VARVARA [1.3K]

Answer:

Option A: 3x + 5x - 4 = 1

Step-by-step explanation:

Given that:

3x + y = 1  ------------- eq1

y + 4 = 5x ------------ eq2

Now for substitution in eq1 we will get a value of y from eq2:

y = 5x - 4

Substituting in eq1 we get:

3x + 5x - 4 = 1

i hope it will help you!

5 0
3 years ago
The ratio of the measures of the sides of a triangle is 4:9:8. If the perimeter of the triangle is 147 feet, find the measure of
labwork [276]

Answer:

28

Step-by-step explanation:

4x + 9x + 8x = 147

21x = 147

x = 147/21

x = 7

========

The shortest side will be 4x

4*7 = 28

7 0
3 years ago
Sally's balance on her credit card is $75.00 on the first day of august. she makes a payment of $18.00 on august 17 and
Travka [436]

The average daily balance for the month was $84.21, and the finance charge for the month was $30.13.

<h3><u>Averages</u></h3>

Given that Sally's balance on her credit card is $75.00 on the first day of August, and she makes a payment of $18.00 on August 17 and a new purchase of $41.00 on August 29, and the annual interest rate is 21.25%, to determine what is Sally's average daily balance and finance charge for the month of August, the following calculation must be made:

  • 75 x ((21.15/12 x 16) / 100) + 75 = A = 86.89
  • 57 x ((21.15/12 x 13) / 100) + 57 = B = 70.06
  • 98 x ((21.15/12 x 3) / 100) + 98 = C = 103.18
  • (86.89 x 16 + 70.06 x 13 + 103.18 x 3) / 31 = X
  • 84.21 = X
  • 86.89 + 70.06 + 103.18 - 75 - 57 - 98 = Y
  • 30.13 = Y

Therefore, the average daily balance for the month was $84.21, and the finance charge for the month was $30.13.

Learn more about averages in brainly.com/question/23455102

#SPJ1

6 0
2 years ago
Grocery Store A is selling bananas for $0. 75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3. 75. Which sto
stellarik [79]

The  store is offering the best unit rate is  Grocery Store A.

The store with the lower unit rate offers the best rate. The unit rate is the total cost divided by the pound of bananas sold.

unit rate = cost / pounds

Unit rate of Grocery Store A: $0.75 / 12 = $0.0625

Unit rate of Grocery Store B: $3.75 / 5 = $0.75

Comparing the unit rates of both stores, Grocery Store A offers a lower unit rate.

A similar question was answered here: brainly.com/question/20197796

3 0
2 years ago
The graphs of the equation y = 4x + 1 and y - kx = 10 are perpendicular when k = _______?
Ann [662]

Answer:

k=-\frac{1}{4}

Step-by-step explanation:

we have

Line 1

y=4x+1

Equation in slope intercept form

The slope is equal to

m_1=4

Line 2

y-kx=10

y=kx+10

Equation in slope intercept form

The slope is equal to

m_2=k

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

so

m_1*m_2=-1

substitute

(4)(k)=-1

k=-\frac{1}{4}

3 0
3 years ago
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