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user100 [1]
3 years ago
5

Theo had a balance of -4 in his savings account. After making a deposit , he has $25 in his account . What is the overall change

to his account ?
Mathematics
1 answer:
ozzi3 years ago
6 0
Theos initial balance in his savings account = -$4
Final balance after making a deposit = $25
So, the overall change to his account = $ 29
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A triangular pyramid has lateral faces with bases of 6 meters and height of 9 meters. The area of the base of the pyramid 15.6 m
jasenka [17]
To find surface area, you can find the area od all sides and add them together
First, area of an triangle is 1/2 length times width
So you do 1/2 6*9= 1/2 54=  27  The area of the three triangles are 27
27 times 3 is  81
81 plus the base of 15.6 is 96.6
The surface area is 96.6 meters squared

7 0
3 years ago
Is 3(x + 1)2 = (3x + 3)2 an identity? Explain and show your reasoning.
Scilla [17]

Answer:

YES

Step-by-step explanation:

The equation, 3(x + 1)2 = (3x + 3)2, would be an identity if the equation remains true regardless of the value of x we choose to plug in into the equation.

Let's find out if we would always get a true statement using different value of x.

✍️Substituting x = 1 into the equation:

3(x + 1)2 = (3x + 3)2

3(1 + 1)2 = (3(1) + 3)2

3(2)2 = (3 + 3)2

12 = 12 (TRUE)

✍️Substituting x = 2 into the equation:

3(x + 1)2 = (3x + 3)2

3(2 + 1)2 = (3(2) + 3)2

3(3)2 = (6 + 3)2

18 = 18 (TRUE)

✍️Substituting x = 3 into the equation:

3(x + 1)2 = (3x + 3)2

3(3 + 1)2 = (3(3) + 3)2

3(4)2 = (9 + 3)2

24 = 24 (TRUE)

Therefore, we can conclude that the equation, 3(x + 1)2 = (3x + 3)2, is an identity.

8 0
3 years ago
What is the equation of the line that passes through the points (−2, 1) and (1, 10)?
Viktor [21]

Answer:

3x - y = -7

Step-by-step explanation:

y = mx + b

m = deltay/deltax

m = (10 - 1)/[( 1 - (-2)]

m = 9/3 = 3

y = 3x + b

From (-2 | 1) we see that when x = -2, y = 1

Placing into the equation, in order to find b (y-intercept)

y = 3x + b

1 = 3(-2) + b

b = 7

y = 3x + 7 or 3x - y = -7

6 0
3 years ago
A movie theatre sold 1,000 tickets and made $7160 in one night. If an adult tickets costs 9$ and a children's costs 5$, how many
victus00 [196]
540 adult tickets were sold and 460 kid tickets were sold
4 0
3 years ago
Briana used two congruent parallelograms and a square to create the figure shown. What is the areaa of the figure Briana created
Dmitrij [34]

Answer: the answer is D

Step-by-step explanation: I got it right

8 0
3 years ago
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