Answer:
The equation would be y = -1/5x + 5
Step-by-step explanation:
To find the equation of this new line, we first need to identify the slope of the first line. We do this by putting it into slope intercept form.
x + 5y = 10
5y = -x + 10
y = -1/5x + 2
In slope-intercept form, the slope is always the coefficient of x. This makes the slope of the first equation -1/5. Since parallel lines have the same slope, our new slope will also be -1/5.
Given that and the point, we can solve for the equation using point-slope form.
y - y1 = m(x - x1)
y - 6 = -1/5(x + 5)
y - 6 = -1/5x - 1
y = -1/5x + 5
Based on the calculations, the depth of tent is equal to 12 feet.
<h3>How to calculate the depth of the tent?</h3>
Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):
- Triangle ABC is an isosceles triangle (AB = AC).
- The front and back of the triangle are identical triangles.
- Side AD is perpendicular side BC.
- CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.
Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:
AC² = AD² + DC²
AD² = AC² - DC²
AD² = 5² - 3²
AD² = 25 - 9
AD² = 16
AD = √16
AD = 4 feet.
Also, we would determine the area of the triangle (ABC):
Area = 1/2 × b × h
<u>Where:</u>
Substituting the given parameters into the formula, we have;
Area = 1/2 × 6 × 4
Area = 12 feet².
Depth of tent = 3 × height of ADC
Depth of tent = 3 × 4
Depth of tent = 12 feet.
Read more on area of triangle here: brainly.com/question/21917592
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Answer:
A. Line a and line b
Step-by-step explanation:
<h3>
Answer: Choice (d)</h3>
Explanation:
To reflect over the y axis, we apply this rule

which says to flip the sign of the x term but keep the y coordinate the same.
So that means something like J(-2,5) becomes J ' (2, 5). The other points are handled in the same fashion and that leads us to choice (d). Points on the y axis will stay where they are.
Answer:
A. The length is 3
B. angel T
C. The perimeter is 20ft
Step-by-step explanation:
They are congruent so there side leghths are the same.