Answer:
Step-by-step explanation:
Use Pythagoras Theorem
x² + 16² = 34²
x² + 256 = 1156
x² = 1156 - 256
x² = 900
x= √3*3*10*10
x= 3*10
x = 30
Answer:
The output is 5
Step-by-step explanation:
-4 is the input (x value). To find the output, you have to find where -4 is on the line. -4 is on the line when 5 is the y coordinate (output).
Answer:
78.61 is greater than 78.6.
Step-by-step explanation:
Adding a zero to 78.6, resulting in 78.60, makes it easier to compare 78.6 and 78.61. 78.61 is greater than 78.6.
The equation of the line in standard form is x + 4y = 8
<h3>How to determine the line equation?</h3>
From the question, the points are given as
(0, 2) and (8, 0)
To start with, we must calculate the slope of the line
This is calculated using
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 2) and (8, 0)
Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
Slope = (0 - 2)/(8 - 0)
Evaluate
Slope = -1/4
The equation of the line can be calculated using as
y - y₁ = m(x + x₁)
Where
(x₁, y₁) = (0, 2)
and
m = slope = -1/4
Substitute the known values in the above equation
So, we have the following equation
y - 2 = -1/4(x - 0)
This gives
y - 2 = -1/4x
Rewrite as
1/4x + y = 2
Multiply by 4
x + 4y = 8
Hence, the line has an equation of x + 4y = 8
Read more about linear equations at
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Using a system of linear equations, the distance between points A and B is 6000 cm
Time taken = Distance / speed
Let ; distance = d
<u>To</u><u> </u><u>time</u><u> </u><u>:</u><u> </u>
- <u>t</u> = d / 4
- <em>4t = d ______(1)</em>
<u>Fro</u><u> </u><u>time</u><u> </u><u>:</u><u> </u>
(t + 15 × 60) = d / 2.5
2.5(t + 900) = d
<em>2.5t + </em><em>2250</em><em> = d ______(2)</em>
Equate (1) and (2)
4t = 2.5t + 2250
4t - 2.5t = 2250
1.5t = 2250
t = 1500 seconds
From (1) :
d = 4t
d = 4(1500)
d = 6000 cm
Therefore, the distance from point A to B is 6000 cm
Learn more : brainly.com/question/14000187