Answer:
Equation of the straight line in point-slope form
y -(-7) = 
(x-8)
Equation of the straight line
3x +4y +4=0
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the point ( 8,-7) and 
Equation of the straight line passing through the point (x₁, y₁) and having slope 'm'
y - y₁ = m (x-x₁)
y -(-7) = (x-8)
4( y+7) = -3(x-8)
4y +28 = -3x +24
3x +4y +28 -24 =0
3x +4y +4=0
Answer:
23
Step-by-step explanation:
According to the diagram, two sum of <1 and <2 is 180 degrees
Hence 3x+30+81 = 180
3x+111 = 180
3x =180-111
3x = 69
x = 69/3
x = 23
Answer:
See below
Step-by-step explanation:
The difference of 5 and 2
5-2 <===== now multply it by 6
6 x (5-2)
Answer:
15.22
Step-by-step explanation:
The equation of the circumference of a circle is 2(pi)r
This is actually because 2pi is angle of the arc that makes up the full circle (radians of course)
so a simple formula is:
arc length in radians X radius
radius = 4 cm
the area that the question wants is the oposite
of the 142 degree section so 360 - 142 = 218
218 degrees * (pi/180) = 3.80482 rad
3.80482 * 4 = 15.21928 cm
The answer to <span>-7(k+9)=9(k-5)-14k is
k = -9
</span>-7(k+9)=9(k-5)-14k
Use the distributive property to distribute the -7 to (k+9) and 9 to (k-5)
-7(k+9)=9(k-5)-14k
-7k - 63 = 9k - 45 - 14k
Now lets get all our constants on one side of the equal sign and all our terms such as 9k and 4k on a side by their self
-7k - 63 = 9k - 45 - 14k
-7k - 63 + 45 = 9k - 45 + 45 - 14k
-7k - 18 = 9k - 14k
Now lets get that -7k on the right side
-7k + 7k - 18 = 9k - 14k + 7k
-18 = 9k - 14k + 7k
Now lets do the math for 9k - 14k + 7k and solve for k
-18 = 9k - 14k + 7k
-18 = 2k
-18 / 2 = 2k / 2
-9 = k
k = -9
