In order to find a slope, there is an equation:
Y2-Y1/X2-X1
X1=2
X2=3
Y1=5
Y2=0
0-5= -5
3-2=1
Since slope is written as Y/X, slope would be-5/1 or simply, -5.
Now, we need to find the y-intercept.
To do this, shift the original equation:
Original equation: y=-5x+b
Shifted equation: b=y+5x
Now, plug in one of the points.
Let's use (2,5)
b=5+5(2)
5*2=10
10+5=15
y-intercept=15
So, the full equation of the line would be:
y=-5x+15
Given a normal distribution with mean 120 and standard deviation 5.
We have to find number of standard deviations the measurement 134.9 is from the mean . For that we have to find z score corresponding to 134.9
The formula to find z score is
Z =
=
= 2.98
The measurement 134.9 is 2.98 standard deviation from mean
Answer:. 10u + t
Step-by-step explanation:
The value of the units digit is multiplied by 10 when it moves to the tens place.
Answer: b = -6, 4
Step-by-step explanation:
Convert into factored form :
(b+6)(b-4)
Then make one of the terms 0.
<span>A) Joey used 10 congruent triangles to create a regular decagon.
What kind of triangles is he using?
He is using isosceles triangles. because the two sides (of each triangle) whose vertix is at the center of the decagon are congruent, while the third side, is different.
b)Joey used 10 congruent triangles to create a regular decagon.
Find the three angle measures of one of the triangles. Explain how you know.
The angle between the two congruent sides is equal to 360° divided by the number of triangles.
360° / 10 = 36.
The other two angles are congruent and must obey the rule of 180°.
2x + 36 = 180 => 2x = 180 - 36 = 144
x = 144 / 2 = 72°
Then two angles are 72° and the other is 36°.
c)Joey used 10 congruent triangles to create a regular decagon.
If the area of each triangle is 14.5 square inches, then what is the area of the regular decagon? Show all work.
The area of the decagon is ten times the area of a triangle.
Area of the decagon = 10 * 14.5 in^2 = 145 in^2.
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