Answer:
Step-by-step explanation:
Hypotenuse = Length of ladder = 10m
Distance between wall and end of the ladder at ground = leg ² = 2 m
Height of wall = x m
Use Pythagorean theorem
leg² +x² = 10²
2² + x² = 100
4 +x² = 100
x² = 100 -4
x² = 96
x = √96
x = 9.7979
x = 9.798 m
Answer:
m = 47
Step-by-step explanation:
First form an algebraic expression, m-3 =44
then start solving by adding 3 on both sides of the equation to make m the subject, m-3+3=44+3
therefore, the 3's cancel out and m=47
<h3>
Answer: 5t+15</h3>
This is equivalent to 5t+5*3
To get the answer, you multiply the outer term 5 by each term inside
5 times t = 5*t = 5t
5 times 3 = 5*3 = 15
Then you add up those products to get 5t+15.
This is using the distributive property.
Answer:
What are you finding
Step-by-step explanation:
are you finding area or......
let me know what you are finding
Since slopes m₁ and m₂ are equal to 5, it shows that these two lines are parallel.
<h3>What are parallel lines?</h3>
Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
<h3>The condition for two parallel lines.</h3>
In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts. This ultimately implies that, two (2) lines are parallel under the following conditions:
m₁ = m₂
<u>Note:</u> m is the slope.
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + b
<u>Given the following equations:</u>
y = 5x + 1
2y - 10x + 3 = 0 ⇒ y = 5x - 3/2
m₁ = m₂ = 5.
In this context, we can reasonably infer and logically deduce that these two lines are parallel.
Read more on slope of parallel lines here: brainly.com/question/28427398
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<u>Complete Question:</u>
The equation line L₁ is y = 5x + 1
The equation line L₂ is 2y - 10x + 3 = 0
Show that these two lines are parallel.