Answer:
The final interior angle = 124°
Step-by-step explanation:
A heptagon has 7 sides. The sum of the interior angles formula:
The sum of the interior angles = (n - 2)180 where n = number of sides.
The sum of the interior angles= (7 - 2)180° = 900°
Six interior angles = 776°.
The final interior angle + six interior angle = 900°
The final interior angle + 776° = 900°
The final interior angle = 900° - 776°
The final interior angle = 124°
Answer:
(x - 3)² - 16 = 0
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Subtract 7 from both sides
x² - 6x + 7 = 0 ← in standard form
with a = 1, b = - 6
Given a quadratic in standard form then the x- coordinate of the vertex is
= - 
= - 
= 3
Substitute x = 3 into the equation for y
y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)
y = (x - 3)² - 16 = 0
<span>Let x be Joanna's heart rate immediately after running one mile.
After this heart rate x decreased by 2 over 5, Joanna's heart rate was 60 beats per minute. We can set up an equation to solve this question.
x - (2/5) x = 60
(3/5) x = 60
x = (5/3) 60
x = 300 / 3
x = 100
Joanna's heart rate immediately after running one mile was 100 beats per minute.</span>
Answer:
y = 2x - 1
Step-by-step explanation:
Slope
for every increase of 3 in x
there's an increase of 6 in y
m = rise/run
m = 6/3
m = 2
----------------------------
Slope intercept form is
y = mx + b
To find "b" plug in m = 2 and any of the given points
using (1, 1)
1 = 2(1) + b
1 = 2 + b
b = -1
The equation is
y = 2x - 1
