Simplify ( I dont have a calculator-.-)
2 answers:
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Answer:
y = 0.25x - 5
Step-by-step explanation:
Given line is 4x + y = 3
or y = -4x + 3
Comparing this with slope-intercept form y = mx + c :
slope of this line is -4
Product of slopes of perpendicular lines = -1
⇒ slope of a line perpendicular to this is =
= 0.25
This line also passes through the point (-4,-6)
The equation of a line having slope m and passing through a point (h,k) is
y - k = m(x - h)
⇒ equation of line perpendicular to given line is y - (-6) = 0.25×{x - (-4)}
⇒ y + 6 = 0.25×(x + 4)
⇒ y + 6 = 0.25x + 1
⇒ <u>y = 0.25x - 5</u>
This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)
the correct question in the attached figure
(2^5)/8=2^2
we have
8----------- >2^3
(2^5)/8----------- > (2^5)/(2^3)=2^(5-3)=2^2
therefore
2^2=2^2-- ------> is ok
the answer is by simplifying 8 to 2^3 to make both powers base two and subtracting the exponents
A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.
<h3>What is heptagon?</h3>A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."
A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,
As it is said in the problem that the sum of the all the angles of the heptagon except one is 776°, therefore, the measure of the last angle of the heptagon is,
The measure of the last angle = 900° - 776° = 124°
Hence, the measure of the final interior angle of the heptagon is 124°.
Learn more about Heptagon:
Answer:
Option B is correct
circumference of a circle is 785 m
Step-by-step explanation:
Circumference of the circle(C) is given by:
where
r is the radius of the circle
As per the statement:
radius of the circle is 125 m
then substitute in [1] we have
Simplify:
C = 785 m
Therefore, the circumference of a circle is 785 m