Get the equation of the line containing PQ using the point-slope formula:
<em>y</em> - (-2) = 3/2 (<em>x</em> - (-6))
Solve for <em>y</em> to get it in slope-intercept form:
<em>y</em> = 3/2 <em>x</em> + 7
so the <em>y</em>-intercept is (0, 7).
The line containing QR is then
<em>y</em> - 7 = -3/4 (<em>x</em> - 0)
or
<em>y</em> = -3/4 <em>x</em> + 7
The point R is on the <em>x</em>-axis, so its <em>y</em>-coordinate is 0. Plug in <em>y</em> = 0 and solve for <em>x</em> to get the other coordinate:
0 = -3/4 <em>x</em> + 7
3/4 <em>x</em> = 7
<em>x</em> = 4/3×7 = 28/3
So the point R has coordinates (28/3, 0).
Answer:
21 and 30
Step-by-step explanation:
x + y = 51
x - y = 9
add the two equations and y's will cancel out
2x = 42 divide by 2
x = 21 so put 21 in for x in the top equation and solve
21 + y = 51
y = 30
Answer:
8
Step-by-step explanation:
Area is 96, divide that by 4 triangles = Area is 24 per triangle
Area of a triangle = (0.5)(base)(height)
(0.5)(6)(x)=24
3x=24
x=8
Step-by-step explanation:
A= πr^2
r = √(A/π)
r = √(676π/π)
r = 26
C = 2πr
52π
= 163.36
<h3>The true statement about circumference of a circle is: circumference is found by multiplying Pi by the diameter</h3>
<em><u>Solution:</u></em>
<em><u>The circumference of a circle is given as:</u></em>
Where,
"r" is the radius of circle
We know that,
<em><u>Thus the circumference can also written as:</u></em>
Thus, the circumference is found by multiplying Pi by the diameter is correct statement