5. Simplify: (3x²y²1³ EC A. 3x5y5 B. 9x5y5 C. 9x6y6 D. 27x6y6
1 answer:
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Answer:
B, C
Step-by-step explanation:
The equation of a line can be given by y -y₁= m(x -x₁), where m is the slope. This is also known as the point-slope form.
Slope of the line
= -4
<em>Substitute m= -4 into the equation:</em>
y -y₁= -4(x -x₁)
<em>Substitute a pair of coordinates into (x₁, y₁):</em>
Let's start by substituting (1, 2).
y -2= -4(x -1)
This gives us the same equation as D, making D an incorrect option. Note that the question asks for which is not the correct equation.
Let's change the above into the slope-intercept form, where by y is the subject of formula.
<em>Start by expanding the right-hand side:</em>
y -2= -4x +1
<em>+</em><em>2</em><em> on both sides:</em>
y= -4x +3
This equation is not the same as C. C is thus the correct option.
Let's check for options A and B.
The equation in option B is not the correct equation either as they have substituted (2, 1) instead of (1, 2) into (x₁, y₁). Thus, option B is also correct.
y -y₁= -4(x -x₁)
Substitute (3, -6) into (x₁, y₁):
y -(-6)= -4(x -3)
y +6= -4(x -3)
This is the same as option A, making option A incorrect too.
Answer:
Area of the circle = π m² or 132.25 π m²
Step-by-step explanation:
To find the area, we will follow the steps below.
First write down the formular for the circumference of a circle, then use the formula to find the radius of the circle after which you can now find the area of the circle.
That is;
C = 2πr
where c is the circumference of the circle and r is the radius of the circle
From the question given, circumference C = 23π
23π = 2π r
Divide both-side of the equation by 2π
23π/2π = 2πr/2π
23/2 = r
radius = m
Formula for calculating the area of a circle is given by;
A = πr²
where A= area of the circle and r is the radius of the circle
A = π ( )²
A = π m² or 132.25 π m²
Area of the circle = π m² or 132.25 π m²
Answer:
A: 360
Step-by-step explanation:
Split the trapezoid into 2 shapes
Then find the area of the rectangle on the left:
18 × 15 = 270 square yards
Now for the triangle, first find the base by subtracting the 2 parallel lines:
25 - 15 = 10 yards
0.5(10 × 18) = 90 square yards
Add both areas to find total area:
270 + 90 = 360 square yards
All this can be seen in the figure below:
