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xenn [34]
1 year ago
15

1. Antonio started the question 2x + 1 = 11 by writing 2x = 10. Which

Mathematics
1 answer:
lana [24]1 year ago
3 0

The property that Antonio has used is what is called the Subtraction property of equality.

<h3>What is the Subtraction property of equality?</h3>

This is the property that tells us in mathematics that is a number is subtracted from an inequality, they would still remain the same.

2x + 1 = 11 is the same thing as also writing  2x = 10. The difference is that the like terms were on the same side.

Read more on Subtraction property of equality here:

brainly.com/question/1005442

#SPJ1

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Evaluate 3|-4|<br><br>12 <br><br>4<br><br>-12​
jeka94

Answer:

12

Step-by-step explanation:

Absolute value means take the positive value

3|-4|

3*4

12

5 0
3 years ago
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Choose the correct written expression for: (9 x 4) 6.
chubhunter [2.5K]

Answer:

D

Step-by-step explanation:

Product means to multiply 2 numbers and for this question its 9x4. The devided by 6 part is just divided from 6. so (9x4)/6

Hope this helped!

8 0
3 years ago
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Could someone help me understand how to solve this? I'm having trouble with it, it's about Applications of Systems of Linear Equ
Anna35 [415]

Answer:

Therefore the amount in the 4% savings account = $550

Step-by-step explanation:

i) the total amount = $1500

ii) let the amount placed in the 4% interest savings account = x

iii) let the amount placed in the 5% interest savings account  = y

iv) therefore fro i) we can say  x  +  y = 1500

v) the total interest gained = $69.5

vi) therefore we can write 0.04x + 0.05y = 69.50

vii) multiplying equation vi) with 100 we get 4x + 5y = 6950

viii) Multiplying the equation in iv) by 5 we get 5x + 5y = 7500

ix) Subtracting equation in vii) from equation in viii) we get x = $550

x) Therefore the amount in the 4% savings account = $550

3 0
3 years ago
4. Find the standard from of the equation of a hyperbola whose foci are (-1,2), (5,2) and its vertices are end points of the dia
Ad libitum [116K]

The <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

<h3>How to find the standard equation of a hyperbola</h3>

In this problem we must determine the equation of the hyperbola in its <em>standard</em> form from the coordinates of the foci and a <em>general</em> equation of a circle. Based on the location of the foci, we see that the axis of symmetry of the hyperbola is parallel to the x-axis. Besides, the center of the hyperbola is the midpoint of the line segment with the foci as endpoints:

(h, k) = 0.5 · (- 1, 2) + 0.5 · (5, 2)

(h, k) = (2, 2)

To determine whether it is possible that the vertices are endpoints of the diameter of the circle, we proceed to modify the <em>general</em> equation of the circle into its <em>standard</em> form.

If the vertices of the hyperbola are endpoints of the diameter of the circle, then the center of the circle must be the midpoint of the line segment. By algebra we find that:

x² + y² - 4 · x - 4 · y + 4= 0​

(x² - 4 · x + 4) + (y² - 4 · y + 4) = 4

(x - 2)² + (y - 2)² = 2²

The center of the circle is the midpoint of the line segment. Now we proceed to determine the vertices of the hyperbola:

V₁(x, y) = (0, 2), V₂(x, y) = (4, 2)

And the distance from the center to any of the vertices is 2 (<em>semi-major</em> distance, a) and the semi-minor distance is:

b = √(c² - a²)

b = √(3² - 2²)

b = √5

Therefore, the <em>standard</em> form of the equation of the hyperbola that satisfies all conditions is (x - 2)²/4 - (y - 2)²/5 = 1 .

To learn more on hyperbolae: brainly.com/question/27799190

#SPJ1

5 0
2 years ago
PLEASE HELP I GIVE THANKS
Mekhanik [1.2K]
Like earlier take the bigger shape and divide the smaller one.
8.4 divide by 4 and you get 2.1.
5 0
3 years ago
Read 2 more answers
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