Answer:
A. y = –5x – 27
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line parallel to y
=
−
5
x
+
3
.
y
=
−
5
x
−
27 PARALLEL
...................................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to y
=
−
5
x
+
3
.
y
=
1
/5
x
+
21
/5 PERPENDICULAR
Answer:
-69x-66
Step-by-step explanation:
1) given: a₁=-4x-1; a₂=-9x-6; a₃=-14x-11. Find: a₁₄-?
2) a₁₄=a₁+13d, where d - the difference between neighbor-terms;
3) d=a₂-a₁; ⇔ d= -9x-6+4x+1= -5x-5;
4) a₁₄= -4x-1+13*(-5x-5)= -69x-66.
You aren’t giving any context to the question
Answer:
x=4.0625 cm
Step-by-step explanation:
The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.
Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:
(x+5)^2= 9^2+(x-3)^2
(x^2+10x+25)=81+(x^2-6x+9)
x^2+10x+25=81+x^2-6x+9
16x=65
x=4.0625
Checking:
(4.0625+5)^2=9^2+(4.0625-3)^2
82.1289=82.1289
The baker can decorate
42/30,
which would mean 42 cupcakes in 30 minutes,
and then you would get
1.4 cupcakes per minute.
Hope this helps and have a nice day:)
