Select the equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4
2 answers:
Answer:
The equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4 will be:
Step-by-step explanation:
Given the equation
Here the slope is:
as comparing with the , which is the slop-intercept form where m is the slope and b is the y-intercept.
As we know the point-slope form is
Add 7 to both sides
Therefore, the equation that represents the line that passes through (1,7) and is parallel to y = 5x + 4 will be:
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Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
