Solve for x over the real numbers: by completing the square:
5 x^2 - 30 x = 5
Divide both sides by 5:
x^2 - 6 x = 1
Add 9 to both sides:
x^2 - 6 x + 9 = 10
Write the left hand side as a square:
(x - 3)^2 = 10
Take the square root of both sides:
x - 3 = sqrt(10) or x - 3 = -sqrt(10)
Add 3 to both sides:
x = 3 + sqrt(10) or x - 3 = -sqrt(10)
Add 3 to both sides:
Answer: | x = 3 + sqrt(10) or x = 3 - sqrt(10)
Point slope form: y - y1 = m (x - x1)
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first you need to find the slope(m) by using the slope formula (seen below)
y2 - y1
m= ---------
x2 - x1
9 - 15
m= ---------
1 - (-2)
-6
m= --------- = -2
3
then choose either one of the coordinates you'd like and plug it in.
Im gonna use (-2, 15)
(y - 15) = -2 (x - (-2))
or
(y - 15) = -2 (x + 2)
slope intercept form: y = mx + b
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you can use the slope formula to find that the slope(m) is -2
y = -2x + b
you can then plug in a coordinate to find b (the y-intercept)
I'll use (-2,15)
15 = -2(-2) +b
15 = 4 + b
-4 -4
---------
11 = b
in conclusion:
the slope(m) = -2
when (-2,15) is used
x = -2
y = 15
b = 11
standard form: ax + by = c
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using the same coordinate (-2,15)
-2a + 15b = c
Area of roundabout = 153.86 yd2
we are given,
radius = 7 yd
Area of circle = π 
= 3.14 × 7× 7
= 153.86 yd2
<h3>
What is the area of circle?</h3>
The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr2, where r is the radius of the circle. The unit of area is the square unit,
To learn more about area of circle from the given link
brainly.com/question/14068861
#SPJ4
Answer:
thank me
Step-by-step explanation:
Answer:
292
Step-by-step explanation:
73 students in 1 group
4 groups all together
73 Students times 4 groups = amount of students all together
so 73x4=292
