Answer:
![\large\boxed{y\leq8\to\{y\ |\ y\leq8\}\to y\in(-\infty,\ 8]}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%5Cleq8%5Cto%5C%7By%5C%20%7C%5C%20y%5Cleq8%5C%7D%5Cto%20y%5Cin%28-%5Cinfty%2C%5C%208%5D%7D)
Step-by-step explanation:
Answer:
y = -5/6x - 4/3 (slope-intercept form)
Step-by-step explanation:
<u>From my understanding, we have to convert this equation into slope intercept form.</u>
<em>Slope-intercept form: y=mx + c</em>
<em>where m is the slope and x is the y-intercept</em>
5/8x+3/4y=-1
<em>Make y the subject</em>
3/4y = -1 - 5/8x
3y = -4 - 5/2x
y = -4/3 - 5/6x
y = -5/6x - 4/3 (slope-intercept form)
Slope or m = -5/6
y-intercept or c = -4/3
Answer:
30mm
Step-by-step explanation:
The question "How much did the plant grow per day?" is asking for the rate of the corn growth for one day, in the format height/day.
The rate given is over 6 days rather than 1 day:
180 mm in 6 days
The find the rate for one day, divide the height by the days.
180mm/6days = 30mm/1day
Therefore the plant grew 30mm per day.
Answer:
2x+y=5.
Step-by-step explanation:
slope(m)=-2
passed through point (0,5)=(x1,y1)
then
the equation is
(y-y1)=m(x-x1)
or (y-5)=-2(x-0)
or (y-5)=-2x
or 2x+y=5 is the equation.
Answer:
Area of a trapezium = 1/2(a+b)×h
where a and b are parallel sides of the trapezium
h is the height
First question
We must first find the height of the trapezium using Pythagoras theorem
That's
h² = 8² -3²
h =√ 64 - 9
h = √ 55m
a = 7m
b = 10+3 = 13m
Area of the trapezoid = 1/2(7+13)×√55
= 1/2×20×√55
= 74.16
= 74m² to the nearest tenth
Second question
We use sine to find the height
sin30° = h/12
h = 12 sin 30°
h = 6 in
Let the other half of the parallel side be x
To find the other half of the parallel side we use Pythagoras theorem
That's
x² = 12²- 6²
x = √144-36
x = √108
x = 6√3 in
So for this trapezoid
a = 9 in
b = (9 + 6√3) in
h = 6 in
Area of the trapezoid = 1/2(9 + 9+6√3) × 6
= 1/2(18+6√3)×6
= 85.176 in²
= 85 in² to the nearest tenth
Hope this helps you
