5b + 29 ≤ -25 is the translation of the phrase "the sum of a number times 5 and 29 is at most -25"
<h3>How to translate an English phrase into an algebraic equation?</h3>
Given the phrase in the question;
The sum of a number times 5 and 29 is at most -25.
First, we translate;
Let the unknown number represented by b.
- A number times 5 ⇒ b × 5 ⇒ 5b
- Sum ⇒ 5b + 29
- Inequality sign for at most -25 ⇒ less than or equal to ⇒ ≤ -25
Now we combine the terms;
5b + 29 ≤ -25
We can go and solve for the unknown number.
5b + 29 ≤ -25
Subtract 29 from both sides
5b + 29 - 29 ≤ -25 - 29
5b ≤ -25 - 29
5b ≤ -54
b ≤ -54/5
Therefore, the translation of the phrase is 5b + 29 ≤ -25.
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Answer:
The area of this triangle would be 24.
Step-by-step explanation:
In order to find this, we need to first determine what to use as the base of the triangle. Since when we draw it, the line between G and H is a flat line, it is the easiest to use as a base. Finding the length of the base is easy because we are simply looking for the difference in the x values.
6 - -2 = 8 = base
Now that we have the base, we need to find the height. The height is always the perpendicular line from the 3rd point to the base line. In this case, this would just be the change in y from the other two.
5 - -1 = 6 = height
Now that we have those two distances, we can just use the triangle formula.
A = 1/2bh
A = 1/2(8)(6)
A = 24
The required value after simplification of the s = -16/3. None of these are correct.
Given that,
To simplify ![[\frac{x^{2/3}x^{-1/2}}{x\sqrt{x^3}\sqrt[3]{x}}]^2](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bx%5E%7B2%2F3%7Dx%5E%7B-1%2F2%7D%7D%7Bx%5Csqrt%7Bx%5E3%7D%5Csqrt%5B3%5D%7Bx%7D%7D%5D%5E2)
and to find the value of s in 
.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Simplification,
![=[\frac{x^{2/3}x^{-1/2}}{x\sqrt{x^3}\sqrt[3]{x}}]^2\\= \frac{x^{4/3}x^{-1}}{x^2x^3*{x}^{2/3}}\\= \frac{x^{1/3}}{x^{17/3}}\\=x^{-16/3}](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7Bx%5E%7B2%2F3%7Dx%5E%7B-1%2F2%7D%7D%7Bx%5Csqrt%7Bx%5E3%7D%5Csqrt%5B3%5D%7Bx%7D%7D%5D%5E2%5C%5C%3D%20%5Cfrac%7Bx%5E%7B4%2F3%7Dx%5E%7B-1%7D%7D%7Bx%5E2x%5E3%2A%7Bx%7D%5E%7B2%2F3%7D%7D%5C%5C%3D%20%5Cfrac%7Bx%5E%7B1%2F3%7D%7D%7Bx%5E%7B17%2F3%7D%7D%5C%5C%3Dx%5E%7B-16%2F3%7D)
Comparing with 
s = -16/3
Thus, the required value of the s = -16/3. None of these are correct.
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Step-by-step explanation:
11.
Area of rectangle = 408 in²
Length = 3x-2 and width = x
The area of a rectangle is given by :
A = lb
(3x-2)x = 408
x = 12 inch and x = -11.33 in
Neglecting negative value,
The width of rectangle = 12 inch
The length of rectangle = 3x-2 = 3(12)-2 = 34 inch
12.
Base of triangle = 2x+2
Height = x
The area of a triangle is given by :
x = 24 cm and x = -25 cm
Neglecting negative value, x = 24 cm
Base = 2x+2 = 2(24)+2 = 50 cm
Hence, this is the required solution.
The correct answer to this question is: " A valid reason why the quadrilateral shown below is a parallelogram is that "B. All pairs of consecutive angles are supplementary."
The choices are:
A. Both pairs of opposite angles are congruent
B. All pairs of consecutive angles are supplementary
C. Both pairs of opposite sides are parallel
D. All pairs of consecutive angles are complementary
