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photoshop1234 [79]
3 years ago
10

The table below shows two equations:

Mathematics
2 answers:
ra1l [238]3 years ago
6 0
The correct answer is option A A) Equation 1 and equation 2 have no solutions For the equation 1 l 3x-1 l +7=2 l 3x-1 l = 2-7 =-5 The absolute value should be positive So, there is no solution For the equation 2 l 2x+1 l +4 = 3 l 2x+1 l = 3 - 4= -1 The absolute value should be positive So, there is no solution
Hitman42 [59]3 years ago
6 0
The correct answer is A)

The proof for the veracity is that we have these two equations:

(1) \left | 3x-1 \right |+7=2

∴ \left | 3x-1 \right |=-5

(2) \left | 2x+1 \right |+4=3

∴ \left | 2x+1 \right |=-1

Given that because of the property of Absolute Value Function \left | 3x-1 \right |\geq0 and \left | 2x+1 \right | \geq 0 (it must be so) then there is not possible for the equation (1) and (2) to be true.

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What is the lateral area of a regular square pyramid if the base edges are of length 24 and perpendicular height is 5?
iren2701 [21]

Answer:

The lateral area is 624 unit²

Step-by-step explanation:

* Lets explain how to solve the problem

- The regular square pyramid has a square base and four congruent

 triangles

- The slant height of it = \sqrt{(\frac{1}{2}b)^{2}+h^{2}}, where

  b is the length of its base and h is the perpendicular height

- Its lateral area = \frac{1}{2}.p.l, p is the perimeter of the base

 and l is the slant height

* Lets solve the problem

∵ The base of the pyramid is a square with side length 24 units

∵ Its perpendicular height is 5 units

∵ The slant height (l) = \sqrt{(\frac{1}{2}b)^{2}+h^{2}}

∴ l = The slant height of it = \sqrt{(\frac{1}{2}.24)^{2}+5^{2}}

∴ l = \sqrt{(12)^{2}+25}=\sqrt{144+25}=\sqrt{169}=13

∴ l = 13 units

∵ Perimeter of the square = b × 4

∴ The perimeter of the base (p) = 24 × 4 = 96 units

∵ The lateral area = \frac{1}{2}.p.l

∴ The lateral area = \frac{1}{2}.(96).(13)

∴ The lateral area = 624 unit²

* The lateral area is 624 unit²

4 0
3 years ago
Juanita begins to factor an expression as shown. x2 3x−18=(x )(x−) what numbers should be placed in the boxes from left to right
Ivan

The numbers which should be placed in the boxes from left to right, when Juanita factor the expression, is 6 and 3 respectively.

<h3>What is a factor of polynomial?</h3>

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

Juanita begins to factor an expression as shown.

x^2+ 3x-18=(x+  \;\;)(x-\;\;)

To find the value of blank, we have to factor the left-hand side expression using the split the middle term method as,

x^2+ 3x-18\\x^2+ 6x-3x-18\\x(x+6)-3(x+6)\\(x+6)(x-3)

Hence, the numbers which should be placed in the boxes from left to right, when Juanita factor the expression is 6 and 3 respectively.

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0
2 years ago
Which table shows a proportional relationship between x and y?
oksano4ka [1.4K]
The top one. Think about the difference between each one: X goes from 1 to 2 and Y goes from 5 to 10. Each number you go up, Y increases by 5. This means there is a proportional relationship.
6 0
2 years ago
Read 2 more answers
A satilitle makes 4 revolutions in one day. How many revolutions would it make in 6 1/2 days
Oksana_A [137]
26 Revolutions in 6 1/2 days.
7 0
3 years ago
What is the least common multiple of 10 and 15?
Gala2k [10]

Answer:

30

Step-by-step explanation:

15x2=30

10x3=30

5 0
2 years ago
Read 2 more answers
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