The equivalent equation of the algebraic Equation (4x - 7)² + 16 = 40x - 70 is; p² + 16 - 10p = 0
<h3>How to simplify Algebraic Equations?</h3>
We want to simplify the algebraic Equation;
(4x - 7)² + 16 = 40x - 70
Factorize right hand side to get;
(4x - 7)² + 16 = 10(4x - 7)
If p = 4x - 7, then we have;
p² + 16 = 10p
Using subtraction property of equality gives;
p² + 16 - 10p = 10p - 10p
p² + 16 - 10p = 0
Read more about Algebraic Equations at; brainly.com/question/4344214
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Answer:
<h2>
A. 10x + 30</h2>
Step-by-step explanation:
2(3 + 5x) + 24 = 6 + 10x + 24 = 10x +(6 + 24) = 10x + 30
The equation that we have been given is:
= 
In order to solve for the value of 'x', we'll have to use cross-multiplication.
Cross-multiplication is a method in which the numerator of one fraction is multiplied by the denominator of another fraction that it is equal to.
Let's cross-mutliply the numerators and denominators:
= 
9*(x+2) = 4*(3x)
Distribute the numbers into the parentheses.
9x + 18 = 12x
Simplify by subtracting both sides by 9x:
9x - 9x + 18 = 12x - 9x
0 + 18 = 3x
18 = 3x
3x = 18
Divide both sides by 3:
= 
<u>x = 6</u>
<u></u>
Let me know if you'd like me to explain anything I did here.
- breezyツ
Area of a triangle:
A= (1/2)(bh)
In this problem we are given:
A= 178.5

b= h+4 in
h= UNKNOWN ("h")
Plug in our values into the area equation and solve for "h":


(multiply each side by 2 to get rid of the 1/2)



(357/21=17)

(solve both inequalities separately)


( a negative height is not possible so, this answer is incorrect.)


Answer: base = (h+4)= (17+ 4)
b= 21 in h= 17inPlease comment with any further questions! :)
Let me give the significations following
natural numbers :ACA counting numbers the numbers you naturally say when counting.
whole numbers: include all natural numbers zero
Integers: include all whole numbers and their opposites.
Rational: can be written ASA fraction or ratio of two integers also decimals that terminate or repeat
Irrational: can not be written a fraction, decimals, do not terminate or repeat.