Answer:
Step-by-step explanation:
3. = 180 - 142
= 38 angles on a straight line equal 180
4. =142 - vertically opposite
5. = 38 alternate angles, alternate with angle 1
6. = 142 - alternate angles
7. = 142 - corresponding angles, corresponding with angle 2
8. = 38 - vertically opposite
9. = 43 - corresponding to angle 7
10. = 137 - vertically opposite
11. = 180 - 137 = 43 - angles on a straight line equal 180 degrees
12. = 43 - vertically opposite to angle 6
13. = 43 - alternate to angle 6
14. = 137 alternate angles
Answer:
12x+6y+5
Step-by-step explanation:
expand this: 3(4x+2y)=12x+6y
then add 5
12x+6y+5
Answer:
y = 3x - 27
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (6, - 9) into the partial equation
- 9 = 18 + c ⇒ c = - 9 - 18 = - 27
y = 3x - 27 ← equation of line
Answer:
D
Step-by-step explanation:
I am pretty sure it is d
Answer:
the width is 10 m
Step-by-step explanation:
if the relationship between area and width is
A = 80*w − w²
for an area A=700 m² , we have
700 m² = 80*w − w²
w² - 80*w + 700 m² = 0
aw² + b*w + c = 0
where a=1 , b=-80 and c=700
this quadratic equation has as solution the following formula
w = [-b ± √ ( b² - 4*a*c) ]/(2*a)
replacing values
w = [80 ± √ ( 80² - 4*1*700) ]/(2*1) = (80 ± 60)/2
then
w₁=(80 - 60)/2 = 10 m
w₂ =(80 + 60)/2 = 70 m
since the area has the form A= length * width = 80*w − w² = (80− w)*w
then the length of the rectangle is
length = 80− w
for w₁=10 m → length = 80− 10 = 70 m
for w₁=70 m → length = 80− 70 = 10 m
by definition the shorter side is the width ( and the longer one , the length) , therefore the only possible option is the first one .
Thus the width is 10 m
