Answer:
The equation of circle is:
Solution:
The general form of equation is given as:
Where, "r" is radius of circle and (a, b) is center of circle
Given that center at (-2, 1)
a = -2 and b = 1
Substitute (a , b) = (-2, 1) and (x, y) = (-5, -3) in general equation
Substitute r = 5 and (a, b) = (-2, 1) in general equation
Thus the equation of circle is found
If you know the <span><span>nth</span></span> <span>term of an arithmetic sequence </span><span>and you know the </span><span>common difference </span><span>, </span><span>dd</span><span> , you can find the </span><span><span><span>(n+1)</span>th</span><span><span>(n+1)</span>th</span></span><span> term using the recursive formula </span><span><span><span>a<span>n+1</span></span>=<span>an</span>+d</span><span><span>a<span>n+1</span></span>=<span>an</span>+d</span></span><span> .
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Answer:
here is your description
Step-by-step explanation:
Scatter Plot one has a negative linear association, which means that the points are <em>arranged</em> in a <em>line</em> that is angled in a downward slope. Hence, the word "negative"
Scatterplot two has no association. The points have no pattern and are scattered around the graph.
hope this helps!
Answer:
R=22
Step-by-step explanation:
180-44= 136
136÷2= 68
90-68= 22
180 is angle of the straight line. 44 is subtracted to get angle of only the triangle on the left which is 136. 136 is then divided by 2 since the remaining two angles are equal and you'll get 68. R is part of a right-angled triangle (90°) subtract 68 from that and you will get 22
Answer:
m<1 = 60
m<2 = 30
m<3 = 80
Step-by-step explanation:
1. Solve for angle (1)
The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;
(30) + (m<1) + (90) = 180
Simplify,
120 + m<1 = 180
Inverse operations,
m<1 = 60
2. Solve for angle (2)
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,
m<2 = 30
Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.
3. Solve for angle (3)
As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.
(m<2) + (70) + (m<3) = 180
Susbtitute,
30 + 70 + (m<3) = 180
Simplify,
100 + m<3 = 180
Invers eoperations,
m<3 = 80