This solution shows that 6 is included in the solution due to the equal sign and not true for the inequality 4x − 5 < 19 since 6 is excluded
<h3>Inequality expression</h3>
Inequalities are equation not separated by an equal sign
Given the inequality expression
4x − 5 ≤ 19
4x ≤ 19 + 5
4x ≤ 24
x≤ 6
This solution shows that 6 is included in the solution due to the equal sign and not true for the inequality 4x − 5 < 19 since 6 is excluded
Given the equation
4x + 3 = 23
4x = 23 - 3
4x =20
x = 5
Hence 5 is the solution from the given set
Learn more on inequality here: brainly.com/question/24372553
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Answer:
2010
Step-by-step explanation:
If the numbers are x and y, you have ...
x +y = 97
x -y = 37
Adding these two equations gives ...
2x = 134
x = 67
y = 67 -37 = 30
The product is then ...
xy = (67)(30) = 2010
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<em>Alternate solution</em>
There is no need to find the actual numbers. We can go directly to their product.
(x+y)² = x² +2xy +y² = 97² = 9409
(x-y)² = x² -2xy +y² = 37² = 1369
Subtracting the second equation from the first gives ...
4xy = 9409 -1369 = 8040
xy = 8040/4 = 2010
Of course the difference of squares can be factored, so we could compute ...
(97² -37²)/4 = (97 +37)(97 -37)/4 = 134(60)/4 = 134(15) = 2010
<u>Given:</u>
A zip line goes from 28 feet to 11 feet in the air. The angle of depression is 85°.
<u>To find:</u>
The length of the zip line where there is no rider.
<u>Solution:</u>
A right-angled triangle can be formed using the given data.
The difference in height between the start and end of the zipline is 
. The angle of the triangle is 85°.
Assume the zip line is x feet long.
The adjacent side of the triangle measures 17 feet, the hypotenuse of the triangle measures x feet, and the angle of the triangle is 85°.
To determine x, we calculate the cos of the given angle.
Rounding this off, we get the length of the zip line when there is no rider is 195.18 feet long.
Hello there! Slope intercept form is written like this:
y = mx + b.
M stands for the slope and B stands for the y-intercept. I hope this helps and have a great day! :)
First solve to your equation by step by step.
1/5(2x-10)+4x=-3(1/5x+4)
= x=-2
Answer is x=-2
It will help you.
